From 9cca19087b29d5678dc39fd446bd8f6a6036b097 Mon Sep 17 00:00:00 2001
From: Rob Austein <sra@hactrn.net>
Date: Wed, 10 Jun 2015 18:34:18 -0400
Subject: Add hal_modexp(), since the protocol is a bit complex.  Rewrite
 test-rsa to use hal_modexp(), and generate a new set of test keys without the
 whacky padding, since hal_modexp() now handles that.

---
 Makefile.in      |    2 +-
 cryptech.h       |   14 +
 modexp.c         |  215 ++++++++++
 tests/test-rsa.c |  156 +-------
 tests/test-rsa.h | 1144 +++++++++++++++++++++++-------------------------------
 5 files changed, 731 insertions(+), 800 deletions(-)
 create mode 100644 modexp.c

diff --git a/Makefile.in b/Makefile.in
index ac3663d..2e86815 100644
--- a/Makefile.in
+++ b/Makefile.in
@@ -29,7 +29,7 @@
 
 INC		= cryptech.h
 LIB		= libcryptech.a
-OBJ		= ${IO_OBJ} csprng.o hash.o aes_keywrap.o pbkdf2.o errorstrings.o
+OBJ		= ${IO_OBJ} csprng.o hash.o aes_keywrap.o pbkdf2.o modexp.o errorstrings.o
 
 IO_OBJ		= ${IO_OBJ_@FPGA_BUS@}
 IO_OBJ_EIM	= hal_io_eim.o novena-eim.o
diff --git a/cryptech.h b/cryptech.h
index 03d3476..1ca6a89 100644
--- a/cryptech.h
+++ b/cryptech.h
@@ -583,6 +583,20 @@ extern hal_error_t hal_pbkdf2(const hal_hash_descriptor_t * const descriptor,
 			      uint8_t       * derived_key,    const size_t derived_key_length,
 			      unsigned iterations_desired);
 
+/*
+ * Modular exponentiation.
+ */
+
+extern void hal_modexp_set_debug(const int onoff);
+
+extern hal_error_t hal_modexp(const uint8_t * const msg, const size_t msg_len, /* Message */
+                              const uint8_t * const exp, const size_t exp_len, /* Exponent */
+                              const uint8_t * const mod, const size_t mod_len, /* Modulus */
+                              uint8_t * result, const size_t result_len);
+
+
+
+
 #endif /* _CRYPTECH_H_ */
 
 /*
diff --git a/modexp.c b/modexp.c
new file mode 100644
index 0000000..7444d57
--- /dev/null
+++ b/modexp.c
@@ -0,0 +1,215 @@
+/*
+ * modexp.c
+ * ----------
+ * Wrapper around Cryptech ModExp core.
+ *
+ * This doesn't do full RSA, that's another module.  This module's job
+ * is just the I/O to get bits in and out of the ModExp core, including
+ * compensating for a few known bugs that haven't been resolved yet.
+ *
+ * If at some point the interface to the ModExp core becomes simple
+ * enough that this module is no longer needed, it will go away.
+ *
+ * Authors: Rob Austein
+ * Copyright (c) 2015, SUNET
+ *
+ * Redistribution and use in source and binary forms, with or
+ * without modification, are permitted provided that the following
+ * conditions are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in
+ *    the documentation and/or other materials provided with the
+ *    distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+ * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+ * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+ * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+ * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
+ * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <stdio.h>
+#include <stdint.h>
+#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
+
+#include "cryptech.h"
+
+/*
+ * Whether we want debug output.
+ */
+
+static int debug = 0;
+
+void hal_modexp_set_debug(const int onoff)
+{
+  debug = onoff;
+}
+
+/*
+ * Check a result, report on failure if debugging, pass failures up
+ * the chain.
+ */
+
+#define check(_expr_)                                                   \
+  do {                                                                  \
+    hal_error_t _err = (_expr_);                                        \
+    if (_err != HAL_OK && debug)                                        \
+      printf("%s failed: %s\n", #_expr_, hal_error_string(_err));       \
+    if (_err != HAL_OK)                                                 \
+      return _err;                                                      \
+  } while (0)
+
+/*
+ * Set an ordinary register.
+ */
+
+static hal_error_t set_register(const off_t addr,
+                                uint32_t value)
+{
+  uint8_t w[4];
+  int i;
+
+  for (i = 3; i >= 0; i--) {
+    w[i] = value & 0xFF;
+    value >>= 8;
+  }
+
+  return hal_io_write(addr, w, sizeof(w));
+}
+
+/*
+ * Get value of a block memory.
+ */
+
+static hal_error_t get_blockmem(const off_t reset_addr,
+                                const off_t data_addr,
+                                uint8_t *value,
+                                const size_t length,
+                                const size_t io_len)
+{
+  uint8_t discard[4];
+  size_t i;
+
+  assert(value != NULL && length % 4 == 0);
+
+  assert(io_len >= length && io_len % 4 == 0);
+
+  check(set_register(reset_addr, 1));
+
+  for (i = 0; i < io_len - length; i += 4) {
+    check(hal_io_read(data_addr, discard, 4));
+    if (discard[0] != 0 || discard[1] != 0 || discard[2] != 0 || discard[3] != 0)
+      return HAL_ERROR_IO_UNEXPECTED;
+  }
+
+  for (i = 0; i < length; i += 4)
+    check(hal_io_read(data_addr, &value[i], 4));
+
+  return HAL_OK;
+}
+
+/*
+ * Set value of a block memory.
+ */
+
+static hal_error_t set_blockmem(const off_t reset_addr,
+                                const off_t data_addr,
+                                const uint8_t * const value,
+                                const size_t length,
+                                const size_t io_len)
+{
+  const uint8_t zero[4] = { 0, 0, 0, 0 };
+  size_t i;
+
+  assert(value != NULL && length % 4 == 0);
+
+  assert(io_len >= length && io_len % 4 == 0);
+
+  check(set_register(reset_addr, 1));
+
+  for (i = 0; i < io_len - length; i += 4)
+    check(hal_io_write(data_addr, zero, 4));
+
+  for (i = 0; i < length; i += 4)
+    check(hal_io_write(data_addr, &value[i], 4));
+
+  return HAL_OK;
+}
+
+/*
+ * Run one modexp operation.
+ */
+
+hal_error_t hal_modexp(const uint8_t * const msg, const size_t msg_len, /* Message */
+                       const uint8_t * const exp, const size_t exp_len, /* Exponent */
+                       const uint8_t * const mod, const size_t mod_len, /* Modulus */
+                       uint8_t *result, const size_t result_len)
+{
+  /*
+   * All pointers must be set, neither message nor exponent may be
+   * longer than modulus, result buffer must not be shorter than
+   * modulus, and all input lengths must be a multiple of four.
+   *
+   * The multiple-of-four restriction is a pain, but the rest of the
+   * HAL code currently enforces the same restriction, and allowing
+   * arbitrary lengths would require some tedious shuffling to deal
+   * with alignment issues, so it's not worth trying to fix only here.
+   */
+
+  if (msg == NULL || exp == NULL || mod == NULL || result == NULL ||
+      msg_len > mod_len || exp_len > mod_len || result_len < mod_len ||
+      ((msg_len | exp_len | mod_len) & 3) != 0)
+    return HAL_ERROR_BAD_ARGUMENTS;
+
+  /*
+   * This insanity is a work-around for a current bug in the ModExp
+   * core: we have to zero-pad everything out to the size of the
+   * modulus plus 32-bits.  Some kind of overflow issue.  All of this
+   * "io_len" nonsense can go away once that's fixed.
+   */
+
+  const size_t io_len = mod_len + 4;
+  assert((io_len & 3) == 0);
+
+  check(set_blockmem(MODEXP_MODULUS_PTR_RST, MODEXP_MODULUS_DATA, mod, mod_len, io_len));
+  check(set_blockmem(MODEXP_MESSAGE_PTR_RST, MODEXP_MESSAGE_DATA, msg, msg_len, io_len));
+  check(set_register(MODEXP_MODULUS_LENGTH, mod_len / 4));
+
+  check(set_blockmem(MODEXP_EXPONENT_PTR_RST, MODEXP_EXPONENT_DATA, exp, exp_len, io_len));
+  check(set_register(MODEXP_EXPONENT_LENGTH, exp_len / 4));
+
+  check(hal_io_wait_ready(MODEXP_ADDR_STATUS));
+
+  check(set_register(MODEXP_ADDR_CTRL, 1));
+
+  /*
+   * ModExp core is not very fast (yet), so wait a long time for a
+   * response, but not forever.
+   */
+
+  int timeout = 0x7FFFFFFF;
+  check(hal_io_wait(MODEXP_ADDR_STATUS, STATUS_READY, &timeout));
+
+  check(get_blockmem(MODEXP_RESULT_PTR_RST, MODEXP_RESULT_DATA, result, mod_len, io_len));
+
+  return HAL_OK;
+}
+
+/*
+ * Local variables:
+ * indent-tabs-mode: nil
+ * End:
+ */
diff --git a/tests/test-rsa.c b/tests/test-rsa.c
index dc1a722..5491399 100644
--- a/tests/test-rsa.c
+++ b/tests/test-rsa.c
@@ -47,107 +47,6 @@
 #include "cryptech.h"
 #include "test-rsa.h"
 
-/*
- * Constant value to use with hal_io_write() when we don't want
- * a read-back check thus aren't using set_register().
- */
-
-static const uint8_t one[] = { 0, 0, 0, 1 };
-
-/*
- * Debugging aid: check a result, report on failure.
- */
-
-#define check(_expr_)                           \
-  do {                                          \
-    if ((_expr_) != 0)                          \
-      return printf("%s failed\n", #_expr_), 1; \
-  } while (0)
-
-/*
- * Set an ordinary register, with read-back check.
- */
-
-static int _set_register(const off_t addr,
-                         const char * const name,
-                         uint32_t value)
-{
-  uint8_t w1[4], w2[4];
-  int i;
-  assert(name != NULL);
-  for (i = 3; i >= 0; i--) {
-    w1[i] = value & 0xFF;
-    value >>= 8;
-  }
-  printf("Setting register %#lx %s...\n", (unsigned long) addr, name);
-  check(hal_io_write(addr, w1, sizeof(w1)));
-  check(hal_io_read(addr,  w2, sizeof(w2)));
-  if (memcmp(w1, w2, sizeof(w1)) != 0)
-    printf("MISMATCH\n");
-  return 0;
-}
-
-/*
- * Get value of a block memory.
- */
-
-static int _get_blockmem(const off_t reset_addr,
-                         const char * const reset_name,
-                         const off_t data_addr,
-                         const char * const data_name,
-                         uint8_t *value,
-                         const size_t length)
-{
-  size_t i;
-  assert(reset_name != NULL && data_name != NULL && value != NULL && length % 4 == 0);
-  printf("Setting register %#lx %s...\n", (unsigned long) reset_addr, reset_name);
-  check(hal_io_write(reset_addr, one, sizeof(one)));
-  printf("Getting blockmem %#lx %s...\n", (unsigned long) data_addr, data_name);
-  for (i = 0; i < length; i += 4)
-    check(hal_io_read(data_addr, &value[i], 4));
-  return 0;
-}
-
-/*
- * Set value of a block memory, with read-back check.
- */
-
-static int _set_blockmem(const off_t reset_addr,
-                         const char * const reset_name,
-                         const off_t data_addr,
-                         const char * const data_name,
-                         const uint8_t * const value,
-                         const size_t value_length,
-                         uint8_t *buffer,
-                         const size_t buffer_length)
-{
-  size_t i;
-  assert(reset_name != NULL && data_name != NULL && value != NULL && buffer_length >= value_length && value_length % 4 == 0);
-  printf("Setting register %#lx %s...\n", (unsigned long) reset_addr, reset_name);
-  check(hal_io_write(reset_addr, one, sizeof(one)));
-  printf("Setting blockmem %#lx %s...\n", (unsigned long) data_addr, data_name);
-  for (i = 0; i < value_length; i += 4)
-    check(hal_io_write(data_addr, &value[i], 4));
-  check(_get_blockmem(reset_addr, reset_name, data_addr, data_name, buffer, value_length));
-  if (memcmp(value, buffer, value_length))
-    printf("MISMATCH\n");
-  printf("\n");
-  return 0;
-}
-
-/*
- * Syntactic sugar.
- */
-
-#define set_register(_field_, _value_) \
-  _set_register(_field_, #_field_, _value_)
-
-#define get_blockmem(_field_, _value_, _length_) \
-  _get_blockmem(_field_##_PTR_RST, #_field_ "_PTR_RST", _field_##_DATA, #_field_ "_DATA", _value_, _length_)
-
-#define set_blockmem(_field_, _value_, _buffer_) \
-  _set_blockmem(_field_##_PTR_RST, #_field_ "_PTR_RST", _field_##_DATA, #_field_ "_DATA", (_value_).val, (_value_).len, _buffer_, sizeof(_buffer_))
-
 /*
  * Run one modexp test.
  */
@@ -158,43 +57,23 @@ static int test_modexp(const char * const kind,
                        const rsa_tc_bn_t * const exp, /* Exponent */
                        const rsa_tc_bn_t * const val) /* Expected result */
 {
-  uint8_t b[4096];
-
-  hal_io_set_debug(1);
+  uint8_t result[tc->n.len];
 
   printf("%s test for %lu-bit RSA key\n", kind, (unsigned long) tc->size);
 
-  check(set_blockmem(MODEXP_MODULUS, tc->n, b));
-  check(set_blockmem(MODEXP_MESSAGE, (*msg), b));
-  check(set_register(MODEXP_MODULUS_LENGTH, tc->n.len / 4));
-
-  check(set_blockmem(MODEXP_EXPONENT, (*exp), b));
-  check(set_register(MODEXP_EXPONENT_LENGTH, val->len / 4));
-
-  printf("Checking ready status\n");
-  check(hal_io_wait_ready(MODEXP_ADDR_STATUS));
-  printf("\n");
-
-  check(set_register(MODEXP_ADDR_CTRL, 1));
-
-  hal_io_set_debug(0);
-
-  printf("Waiting for ready\n");
-  check(hal_io_wait(MODEXP_ADDR_STATUS, STATUS_READY, NULL));
-  printf("\n");
-
-  hal_io_set_debug(1);
-
-  check(get_blockmem(MODEXP_RESULT, b, tc->n.len));
+  if (hal_modexp(msg->val, msg->len, exp->val, exp->len,
+                 tc->n.val, tc->n.len, result, sizeof(result)) != HAL_OK) {
+    printf("ModExp failed\n");
+    return 0;
+  }
 
-  printf("Comparing results with known value...");
-  if (memcmp(b, val->val, val->len))
+  if (memcmp(result, val->val, val->len)) {
     printf("MISMATCH\n");
-  else
-    printf("OK\n");
-  printf("\n");
+    return 0;
+  }
 
-  return 0;
+  printf("OK\n");
+  return 1;
 }
 
 /*
@@ -210,22 +89,29 @@ static int test_rsa(const rsa_tc_t * const tc)
 int main(int argc, char *argv[])
 {
   uint8_t name[8], version[4];
+  hal_error_t err;
   int i;
 
   /*
    * Initialize EIM and report what core we're running.
    */
 
-  check(hal_io_read(MODEXP_ADDR_NAME0,   name,    sizeof(name)));
-  check(hal_io_read(MODEXP_ADDR_VERSION, version, sizeof(version)));
+  if ((err = hal_io_read(MODEXP_ADDR_NAME0,   name,    sizeof(name)))    != HAL_OK ||
+      (err = hal_io_read(MODEXP_ADDR_VERSION, version, sizeof(version))) != HAL_OK) {
+    printf("Initialization failed: %s\n", hal_error_string(err));
+    return 1;
+  }
+
   printf("\"%8.8s\"  \"%4.4s\"\n\n", name, version);
 
   /*
    * Run the test cases.
    */
 
+  hal_modexp_set_debug(1);
+
   for (i = 0; i < (sizeof(rsa_tc)/sizeof(*rsa_tc)); i++)
-    if (test_rsa(&rsa_tc[i]))
+    if (!test_rsa(&rsa_tc[i]))
       return 1;
 
   return 0;
diff --git a/tests/test-rsa.h b/tests/test-rsa.h
index 419178d..393d01e 100644
--- a/tests/test-rsa.h
+++ b/tests/test-rsa.h
@@ -8,318 +8,239 @@
 
 /* 1024-bit RSA private key (PKCS #8)
 -----BEGIN PRIVATE KEY-----
-MIICdwIBADANBgkqhkiG9w0BAQEFAASCAmEwggJdAgEAAoGBANliXkTM3jI5SxKr
-7kUSfD/xIdfaiNZ/f09TlO+pjtFFn6rjQuBMCkCYtNZE/j5H9Q7r9ecPAvxUTm7y
-mYBShzP5cuaZG1g6rej7ThtL4m6KRnTSacmJrOkPYJUhDXLZBKRWJLc9Iz1cYDlY
-pJY1p4xsuHNA2S6MbsVyqud64v9lAgMBAAECgYEAhzrDS+dqHjI3+nCMM9nRA3H8
-zKu8zjrYNr/W+dQv7Q1zyzm/A4sqIY8dh+G5i4L19odhHJDhGZlUhX5TcVllkxDm
-n9DFLkliruOgGy8a3onPxnLkM0wsdGqcRmsW+AUJhBVwqkczGG8Fe54OOIL63y5c
-vkcAEV3biH+7cTyI680CQQDkhbbLRZRhjSQO9WOUpDMu5fgBhpYon6eNZp/ImD77
-cKEsv/MrSNTuvfMuxcrDFJPf44H80d8BYjYN1MrWUa0bAkEA84XOcpWkAjap0eXz
-0dq2ulyS7WqeVO2UWZCcVzmC1W/WLvigOnvpz+YchbMTJj898OSC082W2eRwh5FE
-G7dNfwJBAK7S4MHnjBmJGZHcBv+bEpEJW88HAG85nLwfS5PxbRV818DdZBG0GTo/
-1P/uTy0o2+wHJ9WbVSjA0quIJFkLiQsCQFASZjB9DaGAsdQHhWUyQjUC7XjNPuRz
-/fx5NT7k9SUTEdz9+Ulhpx6p7iT0Hc7MqqRDrtTP29MnbuzUkg1+9ycCQHmLDNrb
-OTDkAkVPQw7q4e+fU/0RmsFXNG6Tov+blsaLUbW/QhVwpt90OIr+rqB1PpVnkw5V
-BYkrEv7UkvPvAjg=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 -----END PRIVATE KEY-----
 */
 
-static const uint8_t n_1024[] = { /* key component n, 132 bytes */
-  0x00, 0x00, 0x00, 0x00, 0xd9, 0x62, 0x5e, 0x44, 0xcc, 0xde, 0x32, 0x39,
-  0x4b, 0x12, 0xab, 0xee, 0x45, 0x12, 0x7c, 0x3f, 0xf1, 0x21, 0xd7, 0xda,
-  0x88, 0xd6, 0x7f, 0x7f, 0x4f, 0x53, 0x94, 0xef, 0xa9, 0x8e, 0xd1, 0x45,
-  0x9f, 0xaa, 0xe3, 0x42, 0xe0, 0x4c, 0x0a, 0x40, 0x98, 0xb4, 0xd6, 0x44,
-  0xfe, 0x3e, 0x47, 0xf5, 0x0e, 0xeb, 0xf5, 0xe7, 0x0f, 0x02, 0xfc, 0x54,
-  0x4e, 0x6e, 0xf2, 0x99, 0x80, 0x52, 0x87, 0x33, 0xf9, 0x72, 0xe6, 0x99,
-  0x1b, 0x58, 0x3a, 0xad, 0xe8, 0xfb, 0x4e, 0x1b, 0x4b, 0xe2, 0x6e, 0x8a,
-  0x46, 0x74, 0xd2, 0x69, 0xc9, 0x89, 0xac, 0xe9, 0x0f, 0x60, 0x95, 0x21,
-  0x0d, 0x72, 0xd9, 0x04, 0xa4, 0x56, 0x24, 0xb7, 0x3d, 0x23, 0x3d, 0x5c,
-  0x60, 0x39, 0x58, 0xa4, 0x96, 0x35, 0xa7, 0x8c, 0x6c, 0xb8, 0x73, 0x40,
-  0xd9, 0x2e, 0x8c, 0x6e, 0xc5, 0x72, 0xaa, 0xe7, 0x7a, 0xe2, 0xff, 0x65
+static const uint8_t n_1024[] = { /* key component n, 128 bytes */
+  0xcf, 0x5b, 0x6c, 0x42, 0x2b, 0xe5, 0x28, 0xb3, 0xe9, 0x41, 0x04, 0x1f,
+  0xce, 0x2e, 0x90, 0x04, 0x58, 0x0c, 0x87, 0x2c, 0xb0, 0x1e, 0x27, 0xc6,
+  0xe8, 0x8a, 0x43, 0xcb, 0xdb, 0x7d, 0xbf, 0x08, 0x92, 0xdd, 0x68, 0xe4,
+  0xc5, 0x90, 0xde, 0x66, 0x7b, 0x12, 0x03, 0xe0, 0xe8, 0xa6, 0x94, 0x9e,
+  0xae, 0x67, 0xe6, 0x1c, 0x7c, 0x42, 0xd3, 0xc7, 0xb8, 0x03, 0xa2, 0x1d,
+  0xd0, 0xbe, 0x61, 0xb5, 0xea, 0xaf, 0x57, 0xa2, 0xeb, 0x58, 0xe4, 0x09,
+  0x43, 0x66, 0xbf, 0xdb, 0x13, 0x1b, 0xad, 0x69, 0x31, 0x79, 0xd5, 0x19,
+  0x29, 0xb6, 0x21, 0xb3, 0xa8, 0xea, 0xa2, 0xcf, 0x35, 0x5f, 0xf0, 0x07,
+  0xd8, 0xd8, 0xc9, 0xc0, 0xcc, 0x0a, 0x87, 0x53, 0x06, 0x53, 0x1b, 0xd6,
+  0xc5, 0x2f, 0x1e, 0xbf, 0xba, 0xd3, 0x38, 0xa4, 0x43, 0x28, 0x01, 0xa8,
+  0xfe, 0xe5, 0xeb, 0xa2, 0x92, 0x38, 0x08, 0xc5
 };
 
-static const uint8_t e_1024[] = { /* key component e, 132 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x01
+static const uint8_t e_1024[] = { /* key component e, 4 bytes */
+  0x00, 0x01, 0x00, 0x01
 };
 
-static const uint8_t d_1024[] = { /* key component d, 132 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x87, 0x3a, 0xc3, 0x4b, 0xe7, 0x6a, 0x1e, 0x32,
-  0x37, 0xfa, 0x70, 0x8c, 0x33, 0xd9, 0xd1, 0x03, 0x71, 0xfc, 0xcc, 0xab,
-  0xbc, 0xce, 0x3a, 0xd8, 0x36, 0xbf, 0xd6, 0xf9, 0xd4, 0x2f, 0xed, 0x0d,
-  0x73, 0xcb, 0x39, 0xbf, 0x03, 0x8b, 0x2a, 0x21, 0x8f, 0x1d, 0x87, 0xe1,
-  0xb9, 0x8b, 0x82, 0xf5, 0xf6, 0x87, 0x61, 0x1c, 0x90, 0xe1, 0x19, 0x99,
-  0x54, 0x85, 0x7e, 0x53, 0x71, 0x59, 0x65, 0x93, 0x10, 0xe6, 0x9f, 0xd0,
-  0xc5, 0x2e, 0x49, 0x62, 0xae, 0xe3, 0xa0, 0x1b, 0x2f, 0x1a, 0xde, 0x89,
-  0xcf, 0xc6, 0x72, 0xe4, 0x33, 0x4c, 0x2c, 0x74, 0x6a, 0x9c, 0x46, 0x6b,
-  0x16, 0xf8, 0x05, 0x09, 0x84, 0x15, 0x70, 0xaa, 0x47, 0x33, 0x18, 0x6f,
-  0x05, 0x7b, 0x9e, 0x0e, 0x38, 0x82, 0xfa, 0xdf, 0x2e, 0x5c, 0xbe, 0x47,
-  0x00, 0x11, 0x5d, 0xdb, 0x88, 0x7f, 0xbb, 0x71, 0x3c, 0x88, 0xeb, 0xcd
+static const uint8_t d_1024[] = { /* key component d, 128 bytes */
+  0x53, 0x7a, 0x6a, 0xca, 0xf9, 0x00, 0xf8, 0xb1, 0xf5, 0x65, 0xc7, 0x53,
+  0x46, 0x9e, 0x58, 0x3c, 0x67, 0x76, 0x23, 0xb5, 0x49, 0xf1, 0xd9, 0xf1,
+  0xaa, 0x0c, 0x7f, 0xde, 0xc2, 0x2e, 0x8d, 0x89, 0xd6, 0x16, 0x6c, 0xf4,
+  0x2c, 0xd5, 0x75, 0xb3, 0xac, 0x38, 0x44, 0x77, 0x77, 0x32, 0x19, 0x03,
+  0x09, 0x13, 0xab, 0x00, 0x2c, 0xc6, 0x7a, 0x9c, 0x1c, 0xe8, 0xd9, 0x8b,
+  0x47, 0x4e, 0x5d, 0xe7, 0x34, 0xe7, 0xd4, 0x52, 0x08, 0x15, 0x51, 0xfa,
+  0xd7, 0xa0, 0x32, 0xda, 0x0f, 0xd0, 0x76, 0x81, 0x04, 0x96, 0xb1, 0xd0,
+  0x12, 0xa3, 0xd2, 0x0d, 0x75, 0xe5, 0xa1, 0x32, 0xfb, 0xaf, 0xaa, 0x9b,
+  0x2d, 0x77, 0x35, 0x28, 0x38, 0xb0, 0xae, 0xc1, 0x0c, 0x35, 0xfa, 0xf3,
+  0x6a, 0x12, 0xd6, 0x2d, 0xb3, 0x9e, 0xa7, 0x1a, 0xca, 0x32, 0x81, 0xd3,
+  0xe9, 0xf8, 0x94, 0x12, 0x6f, 0xf8, 0x68, 0xc1
 };
 
-static const uint8_t p_1024[] = { /* key component p, 132 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xe4, 0x85, 0xb6, 0xcb,
-  0x45, 0x94, 0x61, 0x8d, 0x24, 0x0e, 0xf5, 0x63, 0x94, 0xa4, 0x33, 0x2e,
-  0xe5, 0xf8, 0x01, 0x86, 0x96, 0x28, 0x9f, 0xa7, 0x8d, 0x66, 0x9f, 0xc8,
-  0x98, 0x3e, 0xfb, 0x70, 0xa1, 0x2c, 0xbf, 0xf3, 0x2b, 0x48, 0xd4, 0xee,
-  0xbd, 0xf3, 0x2e, 0xc5, 0xca, 0xc3, 0x14, 0x93, 0xdf, 0xe3, 0x81, 0xfc,
-  0xd1, 0xdf, 0x01, 0x62, 0x36, 0x0d, 0xd4, 0xca, 0xd6, 0x51, 0xad, 0x1b
+static const uint8_t p_1024[] = { /* key component p, 64 bytes */
+  0xd6, 0x82, 0x31, 0xcd, 0x9e, 0xde, 0xc0, 0xef, 0x83, 0xd5, 0x6b, 0xc7,
+  0x80, 0x9b, 0x63, 0x02, 0xb3, 0xa6, 0x47, 0x87, 0x5c, 0x66, 0xa9, 0xae,
+  0x35, 0x44, 0x60, 0xf4, 0x68, 0xe4, 0x49, 0x44, 0x36, 0x82, 0x64, 0xa4,
+  0xe4, 0xae, 0x04, 0xf0, 0x5c, 0x0c, 0x53, 0x7b, 0x32, 0x56, 0x6a, 0x79,
+  0x17, 0xba, 0xca, 0x80, 0x03, 0x9e, 0x39, 0xc3, 0xe3, 0x8e, 0xd6, 0x95,
+  0xdf, 0xf5, 0xc4, 0xcb
 };
 
-static const uint8_t q_1024[] = { /* key component q, 132 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf3, 0x85, 0xce, 0x72,
-  0x95, 0xa4, 0x02, 0x36, 0xa9, 0xd1, 0xe5, 0xf3, 0xd1, 0xda, 0xb6, 0xba,
-  0x5c, 0x92, 0xed, 0x6a, 0x9e, 0x54, 0xed, 0x94, 0x59, 0x90, 0x9c, 0x57,
-  0x39, 0x82, 0xd5, 0x6f, 0xd6, 0x2e, 0xf8, 0xa0, 0x3a, 0x7b, 0xe9, 0xcf,
-  0xe6, 0x1c, 0x85, 0xb3, 0x13, 0x26, 0x3f, 0x3d, 0xf0, 0xe4, 0x82, 0xd3,
-  0xcd, 0x96, 0xd9, 0xe4, 0x70, 0x87, 0x91, 0x44, 0x1b, 0xb7, 0x4d, 0x7f
+static const uint8_t q_1024[] = { /* key component q, 64 bytes */
+  0xf7, 0x77, 0x1c, 0x44, 0x7d, 0x4e, 0xe1, 0x95, 0xda, 0x01, 0xef, 0x60,
+  0xb4, 0x16, 0x5a, 0x10, 0xd7, 0xf3, 0x01, 0x78, 0xeb, 0x63, 0xea, 0x6c,
+  0xc4, 0xa8, 0x5c, 0xa0, 0xec, 0x20, 0x9d, 0xcf, 0x5a, 0xbf, 0x01, 0x4a,
+  0xa7, 0x50, 0x53, 0xf3, 0x3f, 0x66, 0x3a, 0x5f, 0x40, 0x31, 0xf7, 0xcd,
+  0x73, 0x50, 0xae, 0x2a, 0x99, 0xc3, 0x1a, 0xe3, 0x98, 0x58, 0xcf, 0x15,
+  0x0a, 0x55, 0x46, 0xaf
 };
 
-static const uint8_t u_1024[] = { /* key component u, 132 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x72, 0x00, 0x57, 0xd6,
-  0x1a, 0xc0, 0x80, 0x90, 0xa6, 0x42, 0x64, 0x11, 0x15, 0xc0, 0x75, 0xd7,
-  0x13, 0x61, 0x63, 0xe2, 0x48, 0x0a, 0x6c, 0x72, 0x43, 0x09, 0x7a, 0xfa,
-  0x9a, 0x7d, 0xfb, 0x3e, 0x97, 0x41, 0x4a, 0x7b, 0x5b, 0x13, 0x47, 0xf2,
-  0x6b, 0x4f, 0xea, 0xd7, 0x37, 0x05, 0x0a, 0x25, 0xe0, 0x34, 0xcd, 0x3f,
-  0x3d, 0x65, 0xc8, 0xe8, 0xdc, 0xfe, 0x2d, 0xfd, 0xc5, 0x9f, 0x58, 0xba
+static const uint8_t u_1024[] = { /* key component u, 64 bytes */
+  0x0e, 0x5f, 0xfa, 0x8f, 0xc2, 0x63, 0x09, 0xa1, 0x88, 0xd8, 0xd7, 0x75,
+  0x34, 0xa9, 0x21, 0xee, 0xab, 0xd9, 0xe2, 0x59, 0x17, 0xe4, 0x47, 0xd8,
+  0xa0, 0x7e, 0x71, 0x6e, 0x8a, 0x47, 0x4e, 0x49, 0xe8, 0x16, 0x3a, 0x0e,
+  0xdb, 0x24, 0xbb, 0x35, 0x6a, 0x69, 0xef, 0xa2, 0x50, 0x84, 0x1e, 0x8f,
+  0xbb, 0xec, 0xdb, 0xec, 0x94, 0x94, 0x58, 0xc0, 0xe4, 0x2a, 0xa8, 0x24,
+  0x8b, 0x15, 0xdb, 0xb9
 };
 
-static const uint8_t m_1024[] = { /* message to be signed, 132 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+static const uint8_t m_1024[] = { /* message to be signed, 128 bytes */
+  0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
-  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30,
-  0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01,
-  0x05, 0x00, 0x04, 0x20, 0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3,
-  0x24, 0x16, 0x26, 0x3c, 0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b,
-  0x74, 0x1c, 0xa6, 0x49, 0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97
+  0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60,
+  0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20,
+  0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c,
+  0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49,
+  0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97
 };
 
-static const uint8_t s_1024[] = { /* signed message, 132 bytes */
-  0x00, 0x00, 0x00, 0x00, 0xb9, 0x43, 0x65, 0xe2, 0x94, 0x98, 0x85, 0x2d,
-  0x9c, 0x6b, 0xd4, 0x76, 0xaa, 0xda, 0xdd, 0x96, 0xf4, 0xa9, 0x99, 0xf1,
-  0x1f, 0xf9, 0x70, 0xfc, 0x44, 0xc5, 0x05, 0x6c, 0x23, 0xd5, 0xb5, 0x7b,
-  0xe4, 0x38, 0xf8, 0xb5, 0xb0, 0x83, 0xb2, 0xc1, 0xb3, 0xac, 0xd3, 0x47,
-  0x24, 0xaa, 0xbf, 0x0a, 0x77, 0x4c, 0x9f, 0x17, 0xcb, 0x28, 0x15, 0x70,
-  0x0b, 0x6d, 0xf7, 0x92, 0xda, 0x56, 0x73, 0x5f, 0xbf, 0xbf, 0x9e, 0x78,
-  0xd2, 0xcc, 0xca, 0xc8, 0xee, 0x03, 0x17, 0x1e, 0x39, 0xcc, 0x67, 0xa5,
-  0x9b, 0x36, 0xea, 0x78, 0x07, 0x9e, 0x64, 0x03, 0x15, 0x1f, 0x01, 0xd6,
-  0xb6, 0xf0, 0x8d, 0xce, 0xbe, 0x46, 0xed, 0xbc, 0x91, 0x6a, 0x56, 0x3f,
-  0x6a, 0x40, 0xc9, 0xb7, 0x62, 0xc4, 0xed, 0xdd, 0xda, 0x04, 0x79, 0xdf,
-  0x3b, 0x54, 0x9e, 0x76, 0x14, 0x9a, 0x1a, 0xa9, 0xb0, 0xbd, 0x01, 0xe5
+static const uint8_t s_1024[] = { /* signed message, 128 bytes */
+  0xbf, 0x03, 0xe7, 0x1a, 0x8f, 0x16, 0xe5, 0xad, 0xe8, 0x1b, 0xcc, 0xcf,
+  0x9f, 0x3a, 0x4f, 0xc6, 0xd4, 0x14, 0xca, 0xae, 0x37, 0x9b, 0xc4, 0x4b,
+  0x40, 0x13, 0xbf, 0x94, 0x9a, 0xea, 0xc1, 0x6c, 0x6c, 0x1a, 0xad, 0xeb,
+  0xa2, 0x8e, 0xd7, 0xd6, 0xe8, 0x19, 0xfb, 0xf5, 0xd3, 0xe4, 0xdd, 0xd0,
+  0xa5, 0xd4, 0x41, 0x44, 0xb6, 0xda, 0xff, 0x9b, 0x42, 0x19, 0xf7, 0x30,
+  0x0e, 0x2e, 0x0e, 0x31, 0x6a, 0xf0, 0xc2, 0xfc, 0xa0, 0x8f, 0x23, 0x17,
+  0xc2, 0x69, 0xf2, 0xe7, 0x11, 0x33, 0x8f, 0x37, 0x14, 0x5f, 0xdf, 0xb0,
+  0x54, 0xdc, 0x36, 0x77, 0xc3, 0xc9, 0x64, 0x2a, 0x87, 0xd0, 0xa7, 0x78,
+  0xd5, 0x5b, 0xdf, 0xd2, 0x68, 0x96, 0xaa, 0xb2, 0x6b, 0xfb, 0x99, 0x20,
+  0x82, 0xa6, 0xfb, 0xcd, 0x03, 0x1a, 0xf3, 0x60, 0xc1, 0x5b, 0x5e, 0x92,
+  0x57, 0xc6, 0x08, 0x92, 0x74, 0x40, 0x62, 0x6c
 };
 
 /* 2048-bit RSA private key (PKCS #8)
 -----BEGIN PRIVATE KEY-----
-MIIEvQIBADANBgkqhkiG9w0BAQEFAASCBKcwggSjAgEAAoIBAQCwMHo+oMh6XH8D
-gDKe7Jvut1388f7NUzG/1i98W+aX9ljSRJ3LIO02wRMDNIffLMSAhCD+0QVAibiH
-hBhDrXGBBbEWVw/moH1tecVng/wX1nWIdVeyvGZCRPTXJKIXdtE0+Z4oOP+aYBVe
-EfP85xHMAhOUKuULNXYE64qATTUm8TTtdW8czXetJEpNG8OHrS3HkzMRxN15ji6z
-jJR1TCHKvPZNFz1fOg4XWispFNrO0K2q4HtTnShsZnsJvM5HlYWbSoNetbsCWspY
-cvoMtiQL70M7ffSav8M04ud43my0T6PhSt7qSyUJJ30ajUTAfePw9qTfcdT+axUK
-KP6+s6xRAgMBAAECggEBAJt4+7ZeHOpUysPlEUZKFkNtTaPSS30V57WXpGmBkxcP
-jEtnvzIrCQgjEcrnROp7z550ecVB3veXT91NhDfcSmeHBUBobSCfCG9dYAO7ZO4I
-Ecjrewq+0yGxRbi/m8VG1M+BYb2upmasWM6c2weVQ5AZWPuLangcodsvmhUjjD6i
-aO5MTNowI+crf+KTGy3CwKzKW1RM0ylcgcOhksSV3GjNRKKSQKOSzGrtao+pBWa8
-gs7nxvw6rQTgiCwWV/S4qlhly9iqChQ0bRasGMdeoiWpGQodRlEGHv0j0LTYZVo+
-wP/SSBZ44COV0dX8gnYJu077S6WOWYUweH88r4FyGe0CgYEAtQqhmP5a8uufjbg/
-qqDXPRTm3AaOFq2aZ4aMmTEvCmkKaY0qXA4OswbWwSWvf5QaXA69E6DkDVtNDf3O
-TolC+aeh5QPVj/d/4kZYXS5GjH5fPqxE5U/AkhRttMzkchEaROo87XLxybydXGYo
-4cHkR5hEcJQZ2nEKIxhluxKWYqMCgYEA+SOLcQ4vB2G9pn8Td6j5FhMT2m31oZ23
-iN10iNb+LyeKf+Uy1G1kWpVNMZ8NtAMb4MIoFIQiNkVSr1wxsiwKKB3ITcK2i4sP
-B46t2NJqZa9b+XqACjJOp8dXLCBPOjcbsxHUjTPmU4u58WkmbuQcIDJd/PT3NNu2
-pbEFhjIxGHsCgYBWxVCsloSa14nyj/Ob4VkoQoNfw5iIkA5oPhnXNraYI75E1s8N
-rgMnlUiK7HgQCrkTlFDVPpDvQepNoW8nPyyloc27iTnrtbFKj3K8vng70DnwPPsM
-eUwP99CZDncToNTZYPdwy13N1iQJ7ED960NxeS6cUq+Nfg5gwcnIfuErRwKBgDVL
-EDH/6bl3g/0Qo9Zt89JwBEguS2Pl+/OwA5SeAMOPfsX6/lOIjvX9iAS8VE8Udyst
-/SreVP8s9xIB87N8TjPkowtXQns5JN7l+3QtFotn5pHITYlg14h2UMRkqO34CdnV
-T5Vg670lX4IvjwQbkZSlkYthz1ukQD7TTi41oGDvAoGAYKk+ER1iLz7/4k4SyFSl
-0Ar5iHjECIZGuj/KEux3vMzvihAeWpQpZiNDtt+KjloHPm8kF87Q13mSuYxxeW3P
-VRKtf/5CT5HhBkyptDVlwBP/nJIL/X2cTffA43iOZHCT6rWk5RA/NZHjAyQT9PiW
-H50vu3LZwelK3bljyh4VJp0=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 -----END PRIVATE KEY-----
 */
 
-static const uint8_t n_2048[] = { /* key component n, 260 bytes */
-  0x00, 0x00, 0x00, 0x00, 0xb0, 0x30, 0x7a, 0x3e, 0xa0, 0xc8, 0x7a, 0x5c,
-  0x7f, 0x03, 0x80, 0x32, 0x9e, 0xec, 0x9b, 0xee, 0xb7, 0x5d, 0xfc, 0xf1,
-  0xfe, 0xcd, 0x53, 0x31, 0xbf, 0xd6, 0x2f, 0x7c, 0x5b, 0xe6, 0x97, 0xf6,
-  0x58, 0xd2, 0x44, 0x9d, 0xcb, 0x20, 0xed, 0x36, 0xc1, 0x13, 0x03, 0x34,
-  0x87, 0xdf, 0x2c, 0xc4, 0x80, 0x84, 0x20, 0xfe, 0xd1, 0x05, 0x40, 0x89,
-  0xb8, 0x87, 0x84, 0x18, 0x43, 0xad, 0x71, 0x81, 0x05, 0xb1, 0x16, 0x57,
-  0x0f, 0xe6, 0xa0, 0x7d, 0x6d, 0x79, 0xc5, 0x67, 0x83, 0xfc, 0x17, 0xd6,
-  0x75, 0x88, 0x75, 0x57, 0xb2, 0xbc, 0x66, 0x42, 0x44, 0xf4, 0xd7, 0x24,
-  0xa2, 0x17, 0x76, 0xd1, 0x34, 0xf9, 0x9e, 0x28, 0x38, 0xff, 0x9a, 0x60,
-  0x15, 0x5e, 0x11, 0xf3, 0xfc, 0xe7, 0x11, 0xcc, 0x02, 0x13, 0x94, 0x2a,
-  0xe5, 0x0b, 0x35, 0x76, 0x04, 0xeb, 0x8a, 0x80, 0x4d, 0x35, 0x26, 0xf1,
-  0x34, 0xed, 0x75, 0x6f, 0x1c, 0xcd, 0x77, 0xad, 0x24, 0x4a, 0x4d, 0x1b,
-  0xc3, 0x87, 0xad, 0x2d, 0xc7, 0x93, 0x33, 0x11, 0xc4, 0xdd, 0x79, 0x8e,
-  0x2e, 0xb3, 0x8c, 0x94, 0x75, 0x4c, 0x21, 0xca, 0xbc, 0xf6, 0x4d, 0x17,
-  0x3d, 0x5f, 0x3a, 0x0e, 0x17, 0x5a, 0x2b, 0x29, 0x14, 0xda, 0xce, 0xd0,
-  0xad, 0xaa, 0xe0, 0x7b, 0x53, 0x9d, 0x28, 0x6c, 0x66, 0x7b, 0x09, 0xbc,
-  0xce, 0x47, 0x95, 0x85, 0x9b, 0x4a, 0x83, 0x5e, 0xb5, 0xbb, 0x02, 0x5a,
-  0xca, 0x58, 0x72, 0xfa, 0x0c, 0xb6, 0x24, 0x0b, 0xef, 0x43, 0x3b, 0x7d,
-  0xf4, 0x9a, 0xbf, 0xc3, 0x34, 0xe2, 0xe7, 0x78, 0xde, 0x6c, 0xb4, 0x4f,
-  0xa3, 0xe1, 0x4a, 0xde, 0xea, 0x4b, 0x25, 0x09, 0x27, 0x7d, 0x1a, 0x8d,
-  0x44, 0xc0, 0x7d, 0xe3, 0xf0, 0xf6, 0xa4, 0xdf, 0x71, 0xd4, 0xfe, 0x6b,
-  0x15, 0x0a, 0x28, 0xfe, 0xbe, 0xb3, 0xac, 0x51
+static const uint8_t n_2048[] = { /* key component n, 256 bytes */
+  0x9c, 0xbc, 0x4a, 0x6c, 0x4a, 0xcd, 0x02, 0x28, 0xf7, 0x90, 0x7e, 0xc2,
+  0xc7, 0x0f, 0x50, 0xff, 0xb8, 0xf9, 0x33, 0x1c, 0xd2, 0x8d, 0x8a, 0xce,
+  0x0a, 0xef, 0xdb, 0x1a, 0x5c, 0x9c, 0x39, 0x31, 0x3a, 0xa8, 0x6f, 0x15,
+  0x9d, 0xf2, 0x0c, 0x1f, 0x0f, 0x80, 0xed, 0x0e, 0xc0, 0xc0, 0x32, 0x77,
+  0xae, 0x5d, 0xba, 0x9d, 0x53, 0x19, 0x5d, 0xa3, 0xac, 0x3b, 0x6f, 0x81,
+  0x50, 0xec, 0x14, 0xde, 0xd0, 0xfa, 0xf0, 0xd0, 0xa2, 0x9b, 0xa6, 0x50,
+  0x2b, 0x3f, 0x88, 0x71, 0x4b, 0xe9, 0xdc, 0x1b, 0x8f, 0x74, 0x7e, 0xd6,
+  0x4c, 0x56, 0x8a, 0x1e, 0xc9, 0x8d, 0x5a, 0x2f, 0x9a, 0x5d, 0xab, 0x90,
+  0x67, 0xab, 0x22, 0x62, 0x68, 0x20, 0xa6, 0x5a, 0x55, 0xd4, 0xfe, 0xcc,
+  0x2c, 0x24, 0x88, 0x4e, 0x83, 0x1d, 0xb3, 0x61, 0x9b, 0x33, 0x25, 0x94,
+  0x8c, 0x96, 0x08, 0x11, 0xea, 0xd2, 0x90, 0xba, 0x72, 0x03, 0xfe, 0xec,
+  0x0b, 0x9d, 0x40, 0x4e, 0x59, 0xd2, 0x53, 0x40, 0x31, 0x50, 0x51, 0xf3,
+  0x02, 0xcb, 0xeb, 0xb7, 0xa9, 0xf0, 0xa5, 0xdd, 0xab, 0x5e, 0x6b, 0x93,
+  0x83, 0x3a, 0x9a, 0x8e, 0x6a, 0xa3, 0xc8, 0x10, 0x2d, 0xce, 0x70, 0x3d,
+  0x5c, 0x05, 0x5b, 0x5e, 0x28, 0x6d, 0x47, 0xeb, 0x6f, 0x62, 0xf0, 0xfc,
+  0xad, 0x78, 0xb6, 0x89, 0xc3, 0x1e, 0xc1, 0x0f, 0x65, 0xd5, 0xee, 0x3a,
+  0x55, 0xe3, 0xea, 0x8d, 0x7f, 0xac, 0xb0, 0x53, 0x1f, 0xdf, 0xcd, 0x37,
+  0x84, 0x23, 0x07, 0x14, 0x66, 0x0f, 0xd7, 0xfa, 0x24, 0x7a, 0xc0, 0xb0,
+  0x1b, 0x21, 0x31, 0xb3, 0xee, 0x4e, 0xe9, 0x71, 0x1c, 0x7f, 0x93, 0x6c,
+  0x91, 0x47, 0xff, 0x7e, 0xca, 0x0d, 0xd5, 0x14, 0x41, 0xad, 0xe1, 0x3a,
+  0xf8, 0xc8, 0x64, 0xd4, 0x19, 0x20, 0xca, 0xf9, 0x94, 0x7d, 0xff, 0x0a,
+  0x33, 0xda, 0x71, 0x3b
 };
 
-static const uint8_t e_2048[] = { /* key component e, 260 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x01
+static const uint8_t e_2048[] = { /* key component e, 4 bytes */
+  0x00, 0x01, 0x00, 0x01
 };
 
-static const uint8_t d_2048[] = { /* key component d, 260 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x9b, 0x78, 0xfb, 0xb6, 0x5e, 0x1c, 0xea, 0x54,
-  0xca, 0xc3, 0xe5, 0x11, 0x46, 0x4a, 0x16, 0x43, 0x6d, 0x4d, 0xa3, 0xd2,
-  0x4b, 0x7d, 0x15, 0xe7, 0xb5, 0x97, 0xa4, 0x69, 0x81, 0x93, 0x17, 0x0f,
-  0x8c, 0x4b, 0x67, 0xbf, 0x32, 0x2b, 0x09, 0x08, 0x23, 0x11, 0xca, 0xe7,
-  0x44, 0xea, 0x7b, 0xcf, 0x9e, 0x74, 0x79, 0xc5, 0x41, 0xde, 0xf7, 0x97,
-  0x4f, 0xdd, 0x4d, 0x84, 0x37, 0xdc, 0x4a, 0x67, 0x87, 0x05, 0x40, 0x68,
-  0x6d, 0x20, 0x9f, 0x08, 0x6f, 0x5d, 0x60, 0x03, 0xbb, 0x64, 0xee, 0x08,
-  0x11, 0xc8, 0xeb, 0x7b, 0x0a, 0xbe, 0xd3, 0x21, 0xb1, 0x45, 0xb8, 0xbf,
-  0x9b, 0xc5, 0x46, 0xd4, 0xcf, 0x81, 0x61, 0xbd, 0xae, 0xa6, 0x66, 0xac,
-  0x58, 0xce, 0x9c, 0xdb, 0x07, 0x95, 0x43, 0x90, 0x19, 0x58, 0xfb, 0x8b,
-  0x6a, 0x78, 0x1c, 0xa1, 0xdb, 0x2f, 0x9a, 0x15, 0x23, 0x8c, 0x3e, 0xa2,
-  0x68, 0xee, 0x4c, 0x4c, 0xda, 0x30, 0x23, 0xe7, 0x2b, 0x7f, 0xe2, 0x93,
-  0x1b, 0x2d, 0xc2, 0xc0, 0xac, 0xca, 0x5b, 0x54, 0x4c, 0xd3, 0x29, 0x5c,
-  0x81, 0xc3, 0xa1, 0x92, 0xc4, 0x95, 0xdc, 0x68, 0xcd, 0x44, 0xa2, 0x92,
-  0x40, 0xa3, 0x92, 0xcc, 0x6a, 0xed, 0x6a, 0x8f, 0xa9, 0x05, 0x66, 0xbc,
-  0x82, 0xce, 0xe7, 0xc6, 0xfc, 0x3a, 0xad, 0x04, 0xe0, 0x88, 0x2c, 0x16,
-  0x57, 0xf4, 0xb8, 0xaa, 0x58, 0x65, 0xcb, 0xd8, 0xaa, 0x0a, 0x14, 0x34,
-  0x6d, 0x16, 0xac, 0x18, 0xc7, 0x5e, 0xa2, 0x25, 0xa9, 0x19, 0x0a, 0x1d,
-  0x46, 0x51, 0x06, 0x1e, 0xfd, 0x23, 0xd0, 0xb4, 0xd8, 0x65, 0x5a, 0x3e,
-  0xc0, 0xff, 0xd2, 0x48, 0x16, 0x78, 0xe0, 0x23, 0x95, 0xd1, 0xd5, 0xfc,
-  0x82, 0x76, 0x09, 0xbb, 0x4e, 0xfb, 0x4b, 0xa5, 0x8e, 0x59, 0x85, 0x30,
-  0x78, 0x7f, 0x3c, 0xaf, 0x81, 0x72, 0x19, 0xed
+static const uint8_t d_2048[] = { /* key component d, 256 bytes */
+  0x72, 0xe5, 0xc9, 0x3d, 0x07, 0xbc, 0xaf, 0xc7, 0xae, 0x6c, 0x3b, 0xb0,
+  0xb7, 0xd2, 0x6f, 0x93, 0x77, 0x5b, 0x1f, 0x70, 0x12, 0x9d, 0xf6, 0x52,
+  0x43, 0x4c, 0x3f, 0xf7, 0x5c, 0x4a, 0x9d, 0xd6, 0x8b, 0xe4, 0xab, 0xc2,
+  0x52, 0x0d, 0xfd, 0x7a, 0xcb, 0x97, 0xbc, 0xb0, 0x62, 0xf6, 0xc2, 0x48,
+  0x60, 0x07, 0x8f, 0xe5, 0x02, 0xe5, 0x06, 0x73, 0x14, 0xb0, 0x61, 0x76,
+  0x90, 0x06, 0xf0, 0xe9, 0xc2, 0x93, 0x22, 0xf4, 0x1f, 0x30, 0x31, 0x44,
+  0x75, 0xdf, 0xd6, 0x3b, 0x0f, 0xe6, 0x79, 0x17, 0xaf, 0x1b, 0x3c, 0x5c,
+  0x06, 0x8c, 0x2e, 0x26, 0x91, 0xa4, 0x50, 0xa7, 0xb2, 0xe6, 0xd5, 0xfd,
+  0x3f, 0x32, 0x02, 0x3b, 0xd7, 0x8f, 0x8f, 0xc3, 0x8b, 0x46, 0x60, 0x1e,
+  0xf6, 0x81, 0x35, 0x77, 0x30, 0xc1, 0x16, 0x1e, 0x08, 0x72, 0xff, 0x2a,
+  0x9d, 0xc0, 0xe2, 0x5b, 0x98, 0x24, 0x12, 0x39, 0xa4, 0xc9, 0xd7, 0x7c,
+  0x37, 0x84, 0x9a, 0xe4, 0xfc, 0xa6, 0xaa, 0xe1, 0xc0, 0x47, 0xc3, 0x33,
+  0xa3, 0x70, 0x80, 0xf5, 0xf6, 0xf6, 0x68, 0x91, 0x0b, 0x38, 0x4a, 0x01,
+  0xf7, 0x0d, 0x92, 0xd9, 0x10, 0x9a, 0xdf, 0xb0, 0x24, 0xec, 0xd2, 0xb9,
+  0xd4, 0xd8, 0x6e, 0x87, 0xf0, 0xe5, 0x79, 0x0a, 0x84, 0x8f, 0x73, 0x91,
+  0xa0, 0x46, 0xe3, 0xcd, 0x3a, 0xbe, 0x18, 0xb1, 0xbc, 0x78, 0xa1, 0x50,
+  0x93, 0x00, 0xa5, 0xa9, 0x0e, 0x39, 0xd2, 0x9b, 0x75, 0xf8, 0x76, 0xab,
+  0xf2, 0x66, 0x91, 0x0c, 0x7b, 0xa8, 0x17, 0x58, 0x14, 0xab, 0x4b, 0xca,
+  0xf8, 0x9b, 0xc5, 0xb0, 0xc1, 0xed, 0xc6, 0x7e, 0x25, 0x8c, 0x90, 0x3f,
+  0x3f, 0x15, 0xa3, 0xdb, 0x4f, 0x58, 0x9b, 0xbe, 0xfe, 0x0b, 0x33, 0xc4,
+  0x17, 0x89, 0xfe, 0xbf, 0xbd, 0x2a, 0x35, 0x1d, 0x37, 0x0f, 0xe5, 0x0d,
+  0xe7, 0x95, 0x6f, 0xe1
 };
 
-static const uint8_t p_2048[] = { /* key component p, 260 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0xb5, 0x0a, 0xa1, 0x98, 0xfe, 0x5a, 0xf2, 0xeb, 0x9f, 0x8d, 0xb8, 0x3f,
-  0xaa, 0xa0, 0xd7, 0x3d, 0x14, 0xe6, 0xdc, 0x06, 0x8e, 0x16, 0xad, 0x9a,
-  0x67, 0x86, 0x8c, 0x99, 0x31, 0x2f, 0x0a, 0x69, 0x0a, 0x69, 0x8d, 0x2a,
-  0x5c, 0x0e, 0x0e, 0xb3, 0x06, 0xd6, 0xc1, 0x25, 0xaf, 0x7f, 0x94, 0x1a,
-  0x5c, 0x0e, 0xbd, 0x13, 0xa0, 0xe4, 0x0d, 0x5b, 0x4d, 0x0d, 0xfd, 0xce,
-  0x4e, 0x89, 0x42, 0xf9, 0xa7, 0xa1, 0xe5, 0x03, 0xd5, 0x8f, 0xf7, 0x7f,
-  0xe2, 0x46, 0x58, 0x5d, 0x2e, 0x46, 0x8c, 0x7e, 0x5f, 0x3e, 0xac, 0x44,
-  0xe5, 0x4f, 0xc0, 0x92, 0x14, 0x6d, 0xb4, 0xcc, 0xe4, 0x72, 0x11, 0x1a,
-  0x44, 0xea, 0x3c, 0xed, 0x72, 0xf1, 0xc9, 0xbc, 0x9d, 0x5c, 0x66, 0x28,
-  0xe1, 0xc1, 0xe4, 0x47, 0x98, 0x44, 0x70, 0x94, 0x19, 0xda, 0x71, 0x0a,
-  0x23, 0x18, 0x65, 0xbb, 0x12, 0x96, 0x62, 0xa3
+static const uint8_t p_2048[] = { /* key component p, 128 bytes */
+  0xb7, 0x88, 0x25, 0x31, 0xd9, 0x11, 0x36, 0x00, 0x3d, 0x5e, 0x6f, 0x09,
+  0x33, 0x0d, 0x54, 0x4d, 0x28, 0xd7, 0x90, 0xbd, 0xf2, 0x09, 0x5c, 0xc3,
+  0xde, 0x44, 0x2c, 0x10, 0xdc, 0xdd, 0x9f, 0xd6, 0xc8, 0xd5, 0xf7, 0x1e,
+  0xf1, 0x33, 0x13, 0xcd, 0x73, 0x1e, 0xd2, 0x56, 0xe8, 0x68, 0x8f, 0x81,
+  0xeb, 0x07, 0x36, 0xf7, 0x4b, 0x0a, 0x60, 0x1d, 0xb5, 0xfd, 0x41, 0xff,
+  0xfc, 0xe1, 0x3a, 0x92, 0x1d, 0x2f, 0x05, 0xd9, 0xb4, 0xf0, 0x6a, 0x75,
+  0xb8, 0xd9, 0xac, 0x58, 0x27, 0xad, 0x08, 0x24, 0x1b, 0xa0, 0xd0, 0x77,
+  0xd1, 0x6d, 0xd7, 0x05, 0x63, 0x3d, 0x87, 0x87, 0x8b, 0x4c, 0xe4, 0xa1,
+  0xd6, 0xa2, 0x7f, 0x41, 0x5b, 0x2f, 0xb8, 0x5e, 0xe5, 0x89, 0x2a, 0xd0,
+  0x59, 0xf4, 0x39, 0x28, 0xae, 0x98, 0x9e, 0xb3, 0x77, 0x39, 0x63, 0xb3,
+  0x36, 0x71, 0x6a, 0xed, 0x3a, 0xd2, 0xf1, 0x91
 };
 
-static const uint8_t q_2048[] = { /* key component q, 260 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0xf9, 0x23, 0x8b, 0x71, 0x0e, 0x2f, 0x07, 0x61, 0xbd, 0xa6, 0x7f, 0x13,
-  0x77, 0xa8, 0xf9, 0x16, 0x13, 0x13, 0xda, 0x6d, 0xf5, 0xa1, 0x9d, 0xb7,
-  0x88, 0xdd, 0x74, 0x88, 0xd6, 0xfe, 0x2f, 0x27, 0x8a, 0x7f, 0xe5, 0x32,
-  0xd4, 0x6d, 0x64, 0x5a, 0x95, 0x4d, 0x31, 0x9f, 0x0d, 0xb4, 0x03, 0x1b,
-  0xe0, 0xc2, 0x28, 0x14, 0x84, 0x22, 0x36, 0x45, 0x52, 0xaf, 0x5c, 0x31,
-  0xb2, 0x2c, 0x0a, 0x28, 0x1d, 0xc8, 0x4d, 0xc2, 0xb6, 0x8b, 0x8b, 0x0f,
-  0x07, 0x8e, 0xad, 0xd8, 0xd2, 0x6a, 0x65, 0xaf, 0x5b, 0xf9, 0x7a, 0x80,
-  0x0a, 0x32, 0x4e, 0xa7, 0xc7, 0x57, 0x2c, 0x20, 0x4f, 0x3a, 0x37, 0x1b,
-  0xb3, 0x11, 0xd4, 0x8d, 0x33, 0xe6, 0x53, 0x8b, 0xb9, 0xf1, 0x69, 0x26,
-  0x6e, 0xe4, 0x1c, 0x20, 0x32, 0x5d, 0xfc, 0xf4, 0xf7, 0x34, 0xdb, 0xb6,
-  0xa5, 0xb1, 0x05, 0x86, 0x32, 0x31, 0x18, 0x7b
+static const uint8_t q_2048[] = { /* key component q, 128 bytes */
+  0xda, 0x9f, 0x81, 0xfc, 0xa9, 0x1a, 0x65, 0x57, 0x25, 0x3d, 0xc8, 0x4d,
+  0x35, 0x05, 0x43, 0x1f, 0xf3, 0xb0, 0xd1, 0xae, 0xc0, 0x53, 0x6f, 0xbf,
+  0x15, 0x66, 0x0e, 0x69, 0x61, 0xaa, 0x1f, 0x17, 0x8c, 0x8d, 0xd2, 0xee,
+  0x06, 0x93, 0x51, 0x1a, 0xea, 0x8b, 0xaf, 0xc7, 0xec, 0x56, 0x26, 0xd8,
+  0xbc, 0xa2, 0x25, 0xf0, 0xa0, 0x10, 0x4f, 0x34, 0xe1, 0xbe, 0x75, 0x17,
+  0x62, 0xce, 0x04, 0x80, 0x3d, 0x58, 0xbb, 0x7e, 0x29, 0x1c, 0x36, 0xea,
+  0xae, 0xf7, 0x19, 0x33, 0xd8, 0x58, 0xe2, 0x2f, 0x7a, 0x77, 0xb5, 0xa5,
+  0x3f, 0x6b, 0x03, 0x3e, 0x16, 0x91, 0x8b, 0x72, 0x32, 0xbf, 0xe6, 0x57,
+  0x64, 0x07, 0xb5, 0x56, 0x61, 0xac, 0x22, 0x90, 0xcb, 0x08, 0x3b, 0x69,
+  0x7a, 0x5c, 0x5e, 0xd5, 0x8a, 0xe6, 0xc9, 0x80, 0x7a, 0x4a, 0xac, 0x49,
+  0xc2, 0xbf, 0x67, 0x87, 0xba, 0x21, 0x10, 0x0b
 };
 
-static const uint8_t u_2048[] = { /* key component u, 260 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x74, 0x1e, 0x93, 0xee, 0x55, 0x2f, 0x8b, 0x69, 0x44, 0xeb, 0xa6, 0x18,
-  0x41, 0x72, 0x3b, 0x3e, 0x87, 0x1c, 0xa5, 0x48, 0xa7, 0x84, 0x99, 0xa9,
-  0x98, 0xa7, 0x2a, 0x3f, 0x08, 0x20, 0xe3, 0x1b, 0x84, 0x70, 0xc7, 0x4c,
-  0x5e, 0x50, 0x15, 0x43, 0xd3, 0xa1, 0x87, 0x48, 0xc4, 0xa6, 0x96, 0x3b,
-  0x2d, 0xed, 0x4c, 0xce, 0xbb, 0x29, 0xfd, 0x50, 0xba, 0x3a, 0x55, 0xa9,
-  0xeb, 0x75, 0xb4, 0x21, 0xec, 0x40, 0xa5, 0xf0, 0x83, 0x75, 0xa7, 0xd6,
-  0x0d, 0xe0, 0xd7, 0x93, 0x9f, 0x68, 0xcc, 0x46, 0xba, 0x03, 0x16, 0x68,
-  0x88, 0x9b, 0x3c, 0xfd, 0xa6, 0xf0, 0x79, 0x37, 0x53, 0x50, 0xde, 0x85,
-  0x35, 0xf3, 0x7e, 0x92, 0xf4, 0x12, 0x2b, 0x76, 0x79, 0x4b, 0x1f, 0x40,
-  0x8c, 0xc3, 0xd0, 0x7d, 0xe8, 0xfa, 0xf3, 0x78, 0x73, 0x45, 0x89, 0xfc,
-  0x8d, 0xfa, 0xb7, 0xcf, 0x72, 0x34, 0x6e, 0xc1
+static const uint8_t u_2048[] = { /* key component u, 128 bytes */
+  0x4f, 0x88, 0xe0, 0xf9, 0x63, 0x9b, 0x12, 0x96, 0xf3, 0x37, 0x79, 0xed,
+  0x77, 0x1f, 0xe1, 0xcd, 0x54, 0x57, 0x20, 0xf4, 0xae, 0xc2, 0x88, 0x35,
+  0x78, 0x97, 0x96, 0xb8, 0xb4, 0xb4, 0xc5, 0xb8, 0x18, 0x38, 0x65, 0x78,
+  0x1e, 0x68, 0xbf, 0xce, 0xf8, 0x28, 0x61, 0x4f, 0xfe, 0x46, 0x84, 0x4e,
+  0xbb, 0x8d, 0x32, 0x4e, 0x1f, 0xf8, 0x34, 0x90, 0x3d, 0x99, 0x81, 0xce,
+  0x7b, 0x60, 0x83, 0x00, 0x42, 0x54, 0x89, 0x3b, 0x3c, 0x7a, 0x72, 0x69,
+  0x10, 0xd2, 0xc9, 0x87, 0x28, 0xb9, 0xce, 0x2e, 0x3f, 0xd0, 0x98, 0xda,
+  0x0a, 0x6b, 0xf9, 0xef, 0x66, 0xc9, 0x51, 0x46, 0x8a, 0xdc, 0xdf, 0x56,
+  0x68, 0xfb, 0x39, 0x3f, 0xa5, 0x36, 0x44, 0x11, 0x57, 0x7b, 0x4e, 0xc3,
+  0x3a, 0x64, 0x30, 0xb8, 0xde, 0xf5, 0x14, 0x7e, 0xab, 0xca, 0xa6, 0x27,
+  0x52, 0x7f, 0x63, 0x8b, 0xa2, 0xb7, 0x51, 0x1f
 };
 
-static const uint8_t m_2048[] = { /* message to be signed, 260 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+static const uint8_t m_2048[] = { /* message to be signed, 256 bytes */
+  0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
@@ -336,371 +257,266 @@ static const uint8_t m_2048[] = { /* message to be signed, 260 bytes */
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
-  0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60,
-  0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20,
-  0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c,
-  0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49,
-  0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97
+  0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65,
+  0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20, 0x8e, 0x36, 0xfc, 0x9a,
+  0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c, 0x03, 0x66, 0xa1, 0x75,
+  0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49, 0x61, 0x07, 0x07, 0x4d,
+  0x03, 0x43, 0xb5, 0x97
 };
 
-static const uint8_t s_2048[] = { /* signed message, 260 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x67, 0x05, 0x7c, 0x63, 0x09, 0x41, 0x00, 0x48,
-  0x09, 0x67, 0x32, 0xa5, 0x5f, 0x5d, 0x32, 0x89, 0xfa, 0x94, 0x23, 0xf4,
-  0x91, 0x93, 0x4c, 0x91, 0x1a, 0xa6, 0xad, 0x68, 0x88, 0x4a, 0x0c, 0x0d,
-  0x13, 0x49, 0x83, 0x05, 0xd0, 0x3b, 0x18, 0xd0, 0x6a, 0xa9, 0x6a, 0x53,
-  0x3b, 0xc3, 0xa7, 0x01, 0x36, 0x77, 0xed, 0xa3, 0xd6, 0xd3, 0x4a, 0x4f,
-  0x6d, 0xa2, 0x4f, 0xde, 0x5e, 0x81, 0x22, 0xd3, 0x83, 0x9d, 0xdc, 0xcd,
-  0x25, 0xd4, 0x5d, 0x26, 0x85, 0x5a, 0xe0, 0xcc, 0x8c, 0xdf, 0xef, 0x21,
-  0x3d, 0x45, 0xea, 0xcc, 0x4f, 0xd2, 0x0f, 0x64, 0x2f, 0xaf, 0x38, 0x87,
-  0x91, 0xa6, 0x6a, 0xaa, 0xfd, 0x8b, 0xa4, 0x15, 0x61, 0xc0, 0x12, 0xb9,
-  0xeb, 0xf2, 0x9f, 0xbf, 0x3c, 0xee, 0x5e, 0xc2, 0x29, 0x80, 0x22, 0x57,
-  0xbf, 0x90, 0xc2, 0xbc, 0x49, 0xdc, 0x64, 0xe9, 0xf1, 0x55, 0x9c, 0x2c,
-  0x0a, 0x98, 0x7a, 0xb1, 0x86, 0x18, 0x0b, 0xd1, 0x15, 0xf9, 0x5c, 0xcd,
-  0xf2, 0x24, 0x5b, 0xc8, 0x79, 0xba, 0x61, 0xbd, 0x7a, 0x46, 0xac, 0x8d,
-  0x28, 0xe3, 0x5d, 0x61, 0x20, 0xd1, 0x89, 0x52, 0xcf, 0xe8, 0xd8, 0x20,
-  0xb2, 0x3a, 0x6f, 0x5a, 0x23, 0xb8, 0xb2, 0x6f, 0xd4, 0x1c, 0xb7, 0x2d,
-  0x42, 0x86, 0x1a, 0x34, 0xf6, 0x75, 0x78, 0x88, 0x5c, 0xeb, 0xdc, 0x15,
-  0x1e, 0x3f, 0xeb, 0x64, 0xa5, 0xd9, 0xce, 0x3f, 0x92, 0xf6, 0x0b, 0xcc,
-  0x4e, 0x88, 0x61, 0x19, 0x97, 0xeb, 0x97, 0xdf, 0x15, 0x4d, 0xe7, 0xb9,
-  0x0b, 0x23, 0x87, 0xb6, 0x7a, 0xa9, 0x0d, 0xbe, 0x2e, 0x24, 0xe3, 0xf2,
-  0xb0, 0x68, 0x09, 0x6f, 0xb0, 0x42, 0xc9, 0x2f, 0x3c, 0x76, 0xf5, 0x18,
-  0x0b, 0x5f, 0xdb, 0xd9, 0x93, 0x49, 0xf1, 0xa9, 0x19, 0x9c, 0x14, 0x75,
-  0x29, 0x8a, 0x2c, 0xa9, 0x3e, 0xc2, 0x75, 0x52
+static const uint8_t s_2048[] = { /* signed message, 256 bytes */
+  0x38, 0xcd, 0x57, 0x72, 0x74, 0x5a, 0x7c, 0xa1, 0x1b, 0x1d, 0xf6, 0xda,
+  0x12, 0xbd, 0x9c, 0x9e, 0xd7, 0xfd, 0x84, 0x48, 0xfd, 0x7c, 0x6c, 0xc4,
+  0xd0, 0x96, 0x97, 0x67, 0xef, 0x3a, 0xb2, 0x70, 0x03, 0x97, 0xa8, 0x6b,
+  0x6e, 0x87, 0xd4, 0x85, 0x5c, 0x30, 0x0a, 0xa4, 0x48, 0x19, 0xb1, 0x5c,
+  0xbd, 0xf6, 0x53, 0xaa, 0xa9, 0x2a, 0x95, 0xa9, 0xe2, 0x0d, 0x25, 0x44,
+  0x16, 0x99, 0xb7, 0x9b, 0x6d, 0x14, 0x17, 0x47, 0xf7, 0xf8, 0x66, 0x4f,
+  0x4f, 0xd7, 0x15, 0x89, 0xc8, 0x76, 0xb0, 0x32, 0x5d, 0x8e, 0x28, 0x3c,
+  0x76, 0x1e, 0x64, 0xbb, 0x66, 0xb8, 0x0b, 0x28, 0x06, 0x83, 0xb1, 0x77,
+  0xbf, 0x3d, 0x9e, 0xae, 0xdf, 0xa1, 0xc0, 0x87, 0xef, 0x7c, 0x2f, 0xae,
+  0x3b, 0x14, 0x8d, 0x6d, 0xa1, 0x0b, 0x52, 0xed, 0xd2, 0x40, 0xfa, 0x8c,
+  0x3b, 0x04, 0x00, 0x47, 0xdf, 0x7d, 0x74, 0xba, 0x47, 0x4b, 0x1b, 0x1d,
+  0x55, 0xbd, 0x37, 0x8b, 0x05, 0x2e, 0x58, 0x21, 0x97, 0x96, 0xf3, 0xfc,
+  0xf0, 0x09, 0xbb, 0xe5, 0xc8, 0x32, 0x6e, 0xdc, 0x9c, 0x3b, 0xfa, 0xdc,
+  0x8e, 0x75, 0xc5, 0x19, 0xe7, 0xf8, 0x2f, 0xa6, 0x74, 0x63, 0x1e, 0xf7,
+  0xe5, 0x72, 0x89, 0xe8, 0x3f, 0x3f, 0x19, 0xac, 0x64, 0xf8, 0xc6, 0xa3,
+  0x91, 0xe2, 0x68, 0x44, 0xbe, 0x93, 0x65, 0xa8, 0x92, 0xcb, 0xa1, 0x01,
+  0x8f, 0xad, 0xb9, 0xf8, 0xfc, 0xfd, 0x94, 0xe5, 0xa4, 0x72, 0x4c, 0x52,
+  0x80, 0x5e, 0x00, 0xa0, 0x76, 0x0b, 0x6d, 0xe1, 0x58, 0xb1, 0x39, 0x53,
+  0x1b, 0x1d, 0xa0, 0xe4, 0x1a, 0x15, 0x8e, 0xf8, 0x11, 0xbc, 0xaa, 0xbc,
+  0xdd, 0xc7, 0xe1, 0x86, 0xf8, 0x91, 0x89, 0x58, 0x83, 0x3d, 0xba, 0x56,
+  0xa3, 0x07, 0x21, 0x37, 0xf8, 0xa1, 0x1b, 0x21, 0x41, 0x70, 0x4e, 0xa5,
+  0xa4, 0x52, 0x6d, 0x66
 };
 
 /* 4096-bit RSA private key (PKCS #8)
 -----BEGIN PRIVATE KEY-----
-MIIJQQIBADANBgkqhkiG9w0BAQEFAASCCSswggknAgEAAoICAQC/2rbgLB4maN9c
-Wh+ZrjR5lM4HV4/v192ISQikC/gnuSov3CWmaW5M7ZTXG266skeLw8iDdYY2WA/0
-T0krg/UYZ9QYGXGWt4G/4kAUMnb+UOCCvDwcGwbPQnyf3Lj5ekGofqO5GNpXyLXJ
-opWrfHLLyzoZr7DyZclOiQ1vQZx0brUyqzKdXODS5jc/hStdLtA7ZteEZF1FCtpB
-eTsT6cOkn2euDxtJCZmQeAEFsxhXrAgjo4fOjYG1t2g16LbkRFGvNojHakMgv4wt
-a0efnspfWhCQ2kzLpfHmHacqLGdewBjB7RJuEf/UE4G3uPZ4TYemhm7kZen/uhzt
-517coOQYru1snIJsxVPIKgWpZOXwxXghnxFw+65F5uvLVkPR/1xvCfufbuCXABeh
-F33nkN41wWNffIlDwYrtvfwKCLGYlGGRHzSQvlIdzZ7rp3OuUFDj0tf+d5cgAeo3
-8KgSewIvuwLjxA0gPKcaIvIidp8F9X2gIM4s7+89ONY4H8iDKE0ukdC4iq8RGy5P
-y9I8TWPDQBomSawlbcUI8gWTOL3zASHyPGzJ76cRo4KXmndI9dZkcBFAMLZWnmNh
-EZIEzk6pt/Pd7uzT5uoXxkEh6dZ6zqs9iy91h2U3ZPPc8bNpTSiyeGQ7VttBDoeb
-zPv198DV7A584XcFrXqd5kQExlW2oQIDAQABAoICADq2XDDOT4vBnFlO20zUmwp6
-F3L3wPzNOuZyM0rAvvipGdf7ryn2KeMw8dPCeWh5FpwXFk3ksWYAHSHPAb1nbKJD
-ZAzb/H77OaHXQ3Tq3K+HYK2hnWOcgcD7v9fMXG88kstVthT3HhqvObKzJsqMEzV6
-xBUIR0ZnD+wQ1SOvGIopNxqCecLeoY7pFQ9DWbnykZccKehCLqjqYVCYIRQ+/bhr
-b/c8eEUpwu0LTITKAjESXItLiEwV0hQiRKn6xb2lirnsHn+obVKgS+26XvjiR1xW
-26r4o3fPGPArMvUdEaVVdD4kpvc4Wuoz7gajfAnk8BZuHZGX/rxb4G6N1+H8+tBr
-UwqfxYX4ovDzjwvgSwA1JliF1OPAnTDocqppANI53tPLnRoeUup4pVzPBwF5nhoj
-lh252V6zrdHP21BvbNY2ZfqTI0qCUdETvThFsiJ54yowdr4pXBw0R1veEU188Lq2
-UbGKG7Ro60cBqSxfCXTsnFLUZsNyBg80E+2gcfZWOkpe/VUCJYQObffDyU5MXV2G
-Wp28Um9RMjUQdBGI7NsPb/5meJR1VenP10KEIpe8nN+yQINPBQ0eL6XJKncGvlvc
-Vnj9vireJL2Nna4Rbf8L+97J3EeJJ9i5+vorcnO0YofCIB2X0ifJ5Swa05KIsbyK
-+qMUg/EPDlUDtgNlW5gBAoIBAQDc6O3F/BkLJLTIpr39Zsptdm2J7oceP8iqx7+Y
-0jLd2XR1LxGQXOlcuNrK3J8U1/ajxeLFpQfD0aBgScK7YrsbaD1R0jcOGocHkcVN
-BseCthb2LOIuByetP14+DXiC9KOZM5+ap2OpTBSz4hGVYc0v3cIvzeyGUDWrxBeI
-gds/5RQDT0BcKxDW2LAGnJCkD9o2yzyM1ZVwqAPeE2vVB9kamnbB0tdcisPeiO3f
-Q18/mE8/8e78SMlktak8LnTQcAN1ZdQs3r5pPkFsiAhQf4YAj4zHOW2QEemuTQFY
-2hil9RX1Oa8b+CHf0ldBymS1sGYHxIDAwDYFIpUtv5zByJCRAoIBAQDeVEXSilac
-JpR4wUM7F2U+fyEWSuwKjdGcfapg4yGZLQdQeSfqZb+quXwBoSyzlHGJ2lSVgwPD
-kC6oyXRmxPBsqq/lGhVnjw6vz+6p8Qj1xACWZup0UbYn5VwhVOoMf5z+N7sTemHw
-/4coZcPH8Uzpwcamb/dkFnzAMKM9uimXHaepd7e0DHLJ37SUSIj47hQUvkRtspJk
-ozhOIvBjbO/GUwX3F2iLA2YZ66SvMLKuurWEq40Ms3JuGrmpRb4hvsGxui98hqxC
-JMuZMl1P3iYz+xSpeW8iUsTbd7rwz+5vKduPN585W9Ncsr2MhnU5bp8cQgt0qhPv
-A7ztETuoQM0RAoIBAAwRPUvfZY7SRn3ffellwBESsxEh0oe4fEG3/6NdeCHeSxpL
-o+365VSHVIxYWOhOk86GdMjPJwlvXg9keBq8XfQ1UYQys4c1s8KaF+kJQcTGJaL0
-+LYC9gvktkU1fyvIKVepFkLgefU5jrf01XkPiqHev0jVOuJrZ0MmxxJR5aQr41f6
-8E0YnSbfV15FFzGfHBB6MaiP0kYBJ5TuAqn0b8ugPHSCC/mmKuTxHe1gRMe4jjuz
-/5YQc8/ojIIZF5B7TfUPxvNch5JAMFq5Y5riHHPTY6FOZcnE8Lrwwe4Um9wU80oe
-CI7CkzciyllxsOar6CbseQwOc+T76qJBIVMEncECggEAYpnLUYFqwdvWUuubLnTE
-wP/Oo71ci52zzYxp6Igy2WT/7m+dBTZU15llZq+dTJNT+0gp5RjyrWOfXdniVsWW
-vwq/8YIs5f2rDMvR0+qDB8QCYrGH30hx2aW9w0aOejaKYLBEtnG7SA97WK4xMtZQ
-PwdiW2Qium/CqdWoP/L1CQDs35qpjR9MNT2SL4Uvwf6MR1rOrDva8uj0SqryI5Yn
-jLQ7XAc0pRo/yNUZ91xIkndZk1oltvFKmYwetPSqSvr3miOxda+ga8E3zlxox8gE
-916uHi8t23ILvi2Oacg9vW05431OjzirN1xJ9i2XhX4K8JRV0kqvhnwI6LaQ16DN
-kQKCAQBgwYwGsFXz2EEyXRGaTFAUZxlZNNn1c5ie/ukuK2K5xaCE/rq08ZTYSXJ8
-kYYJAXhqVCXY+XK2nP4iDICN4YLgypme837ajtbOe1s+N+9x6DTDx4fSVdxgbQWv
-/lZ48f4i0edTgaCjeqGu22JxksFAf5AQnosWZtW5uTXCG4a7j9sDhqV0B75Adb/n
-i2wxas5uj/LyEpmjYS7/nzUzJev2ywHjxgZX0PwDIh0y/4IGLng2qGv8XNn8jbKi
-NoIHxNYSHk0kOtGFI1h/ZfG2EnYjFQgyzrL32mpx3Qbvfuiap3OHIbgmE6vcBEAc
-FHLs/PfHhmJItny2kqYYypmQTr0I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 -----END PRIVATE KEY-----
 */
 
-static const uint8_t n_4096[] = { /* key component n, 516 bytes */
-  0x00, 0x00, 0x00, 0x00, 0xbf, 0xda, 0xb6, 0xe0, 0x2c, 0x1e, 0x26, 0x68,
-  0xdf, 0x5c, 0x5a, 0x1f, 0x99, 0xae, 0x34, 0x79, 0x94, 0xce, 0x07, 0x57,
-  0x8f, 0xef, 0xd7, 0xdd, 0x88, 0x49, 0x08, 0xa4, 0x0b, 0xf8, 0x27, 0xb9,
-  0x2a, 0x2f, 0xdc, 0x25, 0xa6, 0x69, 0x6e, 0x4c, 0xed, 0x94, 0xd7, 0x1b,
-  0x6e, 0xba, 0xb2, 0x47, 0x8b, 0xc3, 0xc8, 0x83, 0x75, 0x86, 0x36, 0x58,
-  0x0f, 0xf4, 0x4f, 0x49, 0x2b, 0x83, 0xf5, 0x18, 0x67, 0xd4, 0x18, 0x19,
-  0x71, 0x96, 0xb7, 0x81, 0xbf, 0xe2, 0x40, 0x14, 0x32, 0x76, 0xfe, 0x50,
-  0xe0, 0x82, 0xbc, 0x3c, 0x1c, 0x1b, 0x06, 0xcf, 0x42, 0x7c, 0x9f, 0xdc,
-  0xb8, 0xf9, 0x7a, 0x41, 0xa8, 0x7e, 0xa3, 0xb9, 0x18, 0xda, 0x57, 0xc8,
-  0xb5, 0xc9, 0xa2, 0x95, 0xab, 0x7c, 0x72, 0xcb, 0xcb, 0x3a, 0x19, 0xaf,
-  0xb0, 0xf2, 0x65, 0xc9, 0x4e, 0x89, 0x0d, 0x6f, 0x41, 0x9c, 0x74, 0x6e,
-  0xb5, 0x32, 0xab, 0x32, 0x9d, 0x5c, 0xe0, 0xd2, 0xe6, 0x37, 0x3f, 0x85,
-  0x2b, 0x5d, 0x2e, 0xd0, 0x3b, 0x66, 0xd7, 0x84, 0x64, 0x5d, 0x45, 0x0a,
-  0xda, 0x41, 0x79, 0x3b, 0x13, 0xe9, 0xc3, 0xa4, 0x9f, 0x67, 0xae, 0x0f,
-  0x1b, 0x49, 0x09, 0x99, 0x90, 0x78, 0x01, 0x05, 0xb3, 0x18, 0x57, 0xac,
-  0x08, 0x23, 0xa3, 0x87, 0xce, 0x8d, 0x81, 0xb5, 0xb7, 0x68, 0x35, 0xe8,
-  0xb6, 0xe4, 0x44, 0x51, 0xaf, 0x36, 0x88, 0xc7, 0x6a, 0x43, 0x20, 0xbf,
-  0x8c, 0x2d, 0x6b, 0x47, 0x9f, 0x9e, 0xca, 0x5f, 0x5a, 0x10, 0x90, 0xda,
-  0x4c, 0xcb, 0xa5, 0xf1, 0xe6, 0x1d, 0xa7, 0x2a, 0x2c, 0x67, 0x5e, 0xc0,
-  0x18, 0xc1, 0xed, 0x12, 0x6e, 0x11, 0xff, 0xd4, 0x13, 0x81, 0xb7, 0xb8,
-  0xf6, 0x78, 0x4d, 0x87, 0xa6, 0x86, 0x6e, 0xe4, 0x65, 0xe9, 0xff, 0xba,
-  0x1c, 0xed, 0xe7, 0x5e, 0xdc, 0xa0, 0xe4, 0x18, 0xae, 0xed, 0x6c, 0x9c,
-  0x82, 0x6c, 0xc5, 0x53, 0xc8, 0x2a, 0x05, 0xa9, 0x64, 0xe5, 0xf0, 0xc5,
-  0x78, 0x21, 0x9f, 0x11, 0x70, 0xfb, 0xae, 0x45, 0xe6, 0xeb, 0xcb, 0x56,
-  0x43, 0xd1, 0xff, 0x5c, 0x6f, 0x09, 0xfb, 0x9f, 0x6e, 0xe0, 0x97, 0x00,
-  0x17, 0xa1, 0x17, 0x7d, 0xe7, 0x90, 0xde, 0x35, 0xc1, 0x63, 0x5f, 0x7c,
-  0x89, 0x43, 0xc1, 0x8a, 0xed, 0xbd, 0xfc, 0x0a, 0x08, 0xb1, 0x98, 0x94,
-  0x61, 0x91, 0x1f, 0x34, 0x90, 0xbe, 0x52, 0x1d, 0xcd, 0x9e, 0xeb, 0xa7,
-  0x73, 0xae, 0x50, 0x50, 0xe3, 0xd2, 0xd7, 0xfe, 0x77, 0x97, 0x20, 0x01,
-  0xea, 0x37, 0xf0, 0xa8, 0x12, 0x7b, 0x02, 0x2f, 0xbb, 0x02, 0xe3, 0xc4,
-  0x0d, 0x20, 0x3c, 0xa7, 0x1a, 0x22, 0xf2, 0x22, 0x76, 0x9f, 0x05, 0xf5,
-  0x7d, 0xa0, 0x20, 0xce, 0x2c, 0xef, 0xef, 0x3d, 0x38, 0xd6, 0x38, 0x1f,
-  0xc8, 0x83, 0x28, 0x4d, 0x2e, 0x91, 0xd0, 0xb8, 0x8a, 0xaf, 0x11, 0x1b,
-  0x2e, 0x4f, 0xcb, 0xd2, 0x3c, 0x4d, 0x63, 0xc3, 0x40, 0x1a, 0x26, 0x49,
-  0xac, 0x25, 0x6d, 0xc5, 0x08, 0xf2, 0x05, 0x93, 0x38, 0xbd, 0xf3, 0x01,
-  0x21, 0xf2, 0x3c, 0x6c, 0xc9, 0xef, 0xa7, 0x11, 0xa3, 0x82, 0x97, 0x9a,
-  0x77, 0x48, 0xf5, 0xd6, 0x64, 0x70, 0x11, 0x40, 0x30, 0xb6, 0x56, 0x9e,
-  0x63, 0x61, 0x11, 0x92, 0x04, 0xce, 0x4e, 0xa9, 0xb7, 0xf3, 0xdd, 0xee,
-  0xec, 0xd3, 0xe6, 0xea, 0x17, 0xc6, 0x41, 0x21, 0xe9, 0xd6, 0x7a, 0xce,
-  0xab, 0x3d, 0x8b, 0x2f, 0x75, 0x87, 0x65, 0x37, 0x64, 0xf3, 0xdc, 0xf1,
-  0xb3, 0x69, 0x4d, 0x28, 0xb2, 0x78, 0x64, 0x3b, 0x56, 0xdb, 0x41, 0x0e,
-  0x87, 0x9b, 0xcc, 0xfb, 0xf5, 0xf7, 0xc0, 0xd5, 0xec, 0x0e, 0x7c, 0xe1,
-  0x77, 0x05, 0xad, 0x7a, 0x9d, 0xe6, 0x44, 0x04, 0xc6, 0x55, 0xb6, 0xa1
+static const uint8_t n_4096[] = { /* key component n, 512 bytes */
+  0xc6, 0x1a, 0x6b, 0x4f, 0x5e, 0x62, 0x47, 0xfb, 0x06, 0x0c, 0xb4, 0x93,
+  0x4c, 0x73, 0xc6, 0x1b, 0x5a, 0xc7, 0x95, 0x84, 0xd8, 0x0e, 0xbb, 0x53,
+  0x44, 0x7c, 0x27, 0x30, 0xc1, 0x2f, 0xf5, 0x7b, 0xfc, 0x67, 0xa2, 0xa4,
+  0x62, 0x3e, 0x08, 0xb8, 0x12, 0xa3, 0x17, 0x13, 0x10, 0x43, 0xd7, 0x3d,
+  0x6a, 0x1a, 0x61, 0xe3, 0x3a, 0x7a, 0x2e, 0x5c, 0xd7, 0x47, 0x7f, 0xbd,
+  0x32, 0xf4, 0x82, 0x21, 0x39, 0xe2, 0xd7, 0x0f, 0x6a, 0x63, 0x84, 0x81,
+  0x4d, 0x62, 0xd2, 0xfb, 0xf9, 0x6a, 0xde, 0x51, 0xa7, 0xe0, 0x02, 0x0d,
+  0x47, 0x13, 0x61, 0x73, 0xee, 0x8e, 0x0d, 0x0e, 0x70, 0x02, 0xc7, 0xe9,
+  0xe9, 0xf0, 0x6a, 0x01, 0xe9, 0xe7, 0x6d, 0xba, 0x07, 0xea, 0x2f, 0x9f,
+  0xc7, 0x9e, 0xbb, 0xb3, 0xbb, 0x5a, 0x69, 0x0f, 0x69, 0x36, 0x86, 0xc6,
+  0xd5, 0xbd, 0xb5, 0x69, 0xa6, 0x72, 0xc6, 0x22, 0x71, 0xb5, 0x92, 0xe5,
+  0xd6, 0x28, 0xe7, 0xf3, 0x37, 0x8c, 0x05, 0x63, 0x5c, 0x82, 0x27, 0xa4,
+  0x8b, 0x31, 0x0e, 0xdb, 0x1f, 0x07, 0x2b, 0xf0, 0x94, 0x50, 0x6b, 0x0b,
+  0x70, 0x44, 0x8c, 0x94, 0xd4, 0x89, 0xd1, 0x38, 0xd1, 0x4e, 0xad, 0x2d,
+  0x70, 0xbb, 0xe1, 0x50, 0xd4, 0x22, 0x2d, 0x55, 0xaf, 0x6a, 0x67, 0xc6,
+  0x0b, 0x08, 0xc3, 0x1a, 0xa5, 0x6c, 0x5e, 0x7d, 0xd7, 0x32, 0x9a, 0xd4,
+  0x8f, 0x42, 0xe7, 0x53, 0x5f, 0x25, 0x5c, 0xb5, 0xf0, 0x4f, 0x70, 0xc5,
+  0xd3, 0x62, 0x90, 0xfe, 0x65, 0x6e, 0x37, 0xa0, 0x3f, 0xc9, 0x0c, 0x3a,
+  0x1f, 0x3b, 0xab, 0x10, 0x13, 0x7a, 0x49, 0xca, 0xe0, 0x92, 0x0d, 0x6d,
+  0x9e, 0xc0, 0x5b, 0x04, 0xa7, 0xb6, 0x99, 0x9c, 0x91, 0x90, 0xfc, 0x93,
+  0x70, 0x3e, 0xa5, 0x8b, 0x1e, 0x08, 0x7c, 0x3a, 0x16, 0xb2, 0xb8, 0xfc,
+  0x66, 0xff, 0xc2, 0x5b, 0x8f, 0x83, 0xf2, 0xe8, 0x12, 0x99, 0x7f, 0xde,
+  0x1f, 0x98, 0x09, 0x6b, 0xac, 0x91, 0xb1, 0xe7, 0x9b, 0x4e, 0x9d, 0x62,
+  0xfa, 0xa5, 0xa0, 0x83, 0x6d, 0x37, 0xc1, 0x28, 0xa8, 0x0a, 0x8f, 0x6f,
+  0x05, 0x09, 0x87, 0xe3, 0x44, 0x44, 0xb9, 0xba, 0x67, 0x75, 0x44, 0x53,
+  0xb0, 0x19, 0x22, 0x55, 0xcc, 0x90, 0xfd, 0x3e, 0xdf, 0x46, 0x8f, 0x1f,
+  0x19, 0x28, 0x0e, 0xe2, 0xc9, 0x1e, 0x1a, 0x29, 0xda, 0x66, 0x7c, 0x56,
+  0xee, 0x0d, 0xd2, 0x32, 0x67, 0x63, 0x6e, 0x9f, 0xa2, 0x45, 0x9c, 0x91,
+  0x51, 0xd9, 0x70, 0x7b, 0x93, 0x54, 0x07, 0x39, 0xc9, 0xfb, 0x3b, 0x45,
+  0xd4, 0xb5, 0x88, 0xd0, 0x6a, 0x1c, 0x1a, 0x29, 0xb9, 0xfc, 0xf4, 0xb1,
+  0x64, 0x69, 0xfe, 0xf3, 0x1f, 0xea, 0xd0, 0xdb, 0x7a, 0xb3, 0xc8, 0xdc,
+  0x04, 0xc9, 0xae, 0xb0, 0xd8, 0xb3, 0x4f, 0x4e, 0x14, 0x70, 0xeb, 0xd5,
+  0x2b, 0x92, 0xdc, 0x7a, 0x77, 0x5d, 0x3e, 0x0e, 0x9f, 0x3a, 0xe1, 0x0b,
+  0x6e, 0xce, 0x5e, 0x8f, 0x89, 0x18, 0x23, 0x63, 0x38, 0x8f, 0x9b, 0x09,
+  0x57, 0x8e, 0x78, 0x8c, 0x94, 0xab, 0x20, 0x2e, 0xa0, 0x34, 0x95, 0x58,
+  0xa6, 0x3b, 0x7b, 0x21, 0x0f, 0x97, 0x5d, 0xb6, 0x8a, 0xe4, 0x04, 0x93,
+  0x73, 0x8f, 0xb1, 0x27, 0x81, 0x8e, 0x5d, 0x2c, 0x3f, 0x67, 0x38, 0x53,
+  0x1d, 0xc4, 0x55, 0x4e, 0x54, 0x22, 0x80, 0xc4, 0x81, 0x2e, 0x2f, 0x3c,
+  0x68, 0xf5, 0xf2, 0x4e, 0xbf, 0xb4, 0x90, 0x07, 0x15, 0x25, 0x29, 0x87,
+  0xd7, 0x94, 0x42, 0xe4, 0x57, 0x75, 0x1a, 0x4a, 0xd3, 0xbb, 0x9b, 0xa6,
+  0xc7, 0x4d, 0xb2, 0x56, 0xbf, 0xe8, 0x41, 0x83, 0x35, 0x24, 0xc2, 0x8d,
+  0x7d, 0x06, 0xe4, 0x9c, 0xd0, 0xca, 0x44, 0x65, 0x0c, 0x77, 0x93, 0xde,
+  0xf7, 0x7b, 0xe4, 0xcf, 0x6f, 0x35, 0xac, 0x91
 };
 
-static const uint8_t e_4096[] = { /* key component e, 516 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x01
+static const uint8_t e_4096[] = { /* key component e, 4 bytes */
+  0x00, 0x01, 0x00, 0x01
 };
 
-static const uint8_t d_4096[] = { /* key component d, 516 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x3a, 0xb6, 0x5c, 0x30, 0xce, 0x4f, 0x8b, 0xc1,
-  0x9c, 0x59, 0x4e, 0xdb, 0x4c, 0xd4, 0x9b, 0x0a, 0x7a, 0x17, 0x72, 0xf7,
-  0xc0, 0xfc, 0xcd, 0x3a, 0xe6, 0x72, 0x33, 0x4a, 0xc0, 0xbe, 0xf8, 0xa9,
-  0x19, 0xd7, 0xfb, 0xaf, 0x29, 0xf6, 0x29, 0xe3, 0x30, 0xf1, 0xd3, 0xc2,
-  0x79, 0x68, 0x79, 0x16, 0x9c, 0x17, 0x16, 0x4d, 0xe4, 0xb1, 0x66, 0x00,
-  0x1d, 0x21, 0xcf, 0x01, 0xbd, 0x67, 0x6c, 0xa2, 0x43, 0x64, 0x0c, 0xdb,
-  0xfc, 0x7e, 0xfb, 0x39, 0xa1, 0xd7, 0x43, 0x74, 0xea, 0xdc, 0xaf, 0x87,
-  0x60, 0xad, 0xa1, 0x9d, 0x63, 0x9c, 0x81, 0xc0, 0xfb, 0xbf, 0xd7, 0xcc,
-  0x5c, 0x6f, 0x3c, 0x92, 0xcb, 0x55, 0xb6, 0x14, 0xf7, 0x1e, 0x1a, 0xaf,
-  0x39, 0xb2, 0xb3, 0x26, 0xca, 0x8c, 0x13, 0x35, 0x7a, 0xc4, 0x15, 0x08,
-  0x47, 0x46, 0x67, 0x0f, 0xec, 0x10, 0xd5, 0x23, 0xaf, 0x18, 0x8a, 0x29,
-  0x37, 0x1a, 0x82, 0x79, 0xc2, 0xde, 0xa1, 0x8e, 0xe9, 0x15, 0x0f, 0x43,
-  0x59, 0xb9, 0xf2, 0x91, 0x97, 0x1c, 0x29, 0xe8, 0x42, 0x2e, 0xa8, 0xea,
-  0x61, 0x50, 0x98, 0x21, 0x14, 0x3e, 0xfd, 0xb8, 0x6b, 0x6f, 0xf7, 0x3c,
-  0x78, 0x45, 0x29, 0xc2, 0xed, 0x0b, 0x4c, 0x84, 0xca, 0x02, 0x31, 0x12,
-  0x5c, 0x8b, 0x4b, 0x88, 0x4c, 0x15, 0xd2, 0x14, 0x22, 0x44, 0xa9, 0xfa,
-  0xc5, 0xbd, 0xa5, 0x8a, 0xb9, 0xec, 0x1e, 0x7f, 0xa8, 0x6d, 0x52, 0xa0,
-  0x4b, 0xed, 0xba, 0x5e, 0xf8, 0xe2, 0x47, 0x5c, 0x56, 0xdb, 0xaa, 0xf8,
-  0xa3, 0x77, 0xcf, 0x18, 0xf0, 0x2b, 0x32, 0xf5, 0x1d, 0x11, 0xa5, 0x55,
-  0x74, 0x3e, 0x24, 0xa6, 0xf7, 0x38, 0x5a, 0xea, 0x33, 0xee, 0x06, 0xa3,
-  0x7c, 0x09, 0xe4, 0xf0, 0x16, 0x6e, 0x1d, 0x91, 0x97, 0xfe, 0xbc, 0x5b,
-  0xe0, 0x6e, 0x8d, 0xd7, 0xe1, 0xfc, 0xfa, 0xd0, 0x6b, 0x53, 0x0a, 0x9f,
-  0xc5, 0x85, 0xf8, 0xa2, 0xf0, 0xf3, 0x8f, 0x0b, 0xe0, 0x4b, 0x00, 0x35,
-  0x26, 0x58, 0x85, 0xd4, 0xe3, 0xc0, 0x9d, 0x30, 0xe8, 0x72, 0xaa, 0x69,
-  0x00, 0xd2, 0x39, 0xde, 0xd3, 0xcb, 0x9d, 0x1a, 0x1e, 0x52, 0xea, 0x78,
-  0xa5, 0x5c, 0xcf, 0x07, 0x01, 0x79, 0x9e, 0x1a, 0x23, 0x96, 0x1d, 0xb9,
-  0xd9, 0x5e, 0xb3, 0xad, 0xd1, 0xcf, 0xdb, 0x50, 0x6f, 0x6c, 0xd6, 0x36,
-  0x65, 0xfa, 0x93, 0x23, 0x4a, 0x82, 0x51, 0xd1, 0x13, 0xbd, 0x38, 0x45,
-  0xb2, 0x22, 0x79, 0xe3, 0x2a, 0x30, 0x76, 0xbe, 0x29, 0x5c, 0x1c, 0x34,
-  0x47, 0x5b, 0xde, 0x11, 0x4d, 0x7c, 0xf0, 0xba, 0xb6, 0x51, 0xb1, 0x8a,
-  0x1b, 0xb4, 0x68, 0xeb, 0x47, 0x01, 0xa9, 0x2c, 0x5f, 0x09, 0x74, 0xec,
-  0x9c, 0x52, 0xd4, 0x66, 0xc3, 0x72, 0x06, 0x0f, 0x34, 0x13, 0xed, 0xa0,
-  0x71, 0xf6, 0x56, 0x3a, 0x4a, 0x5e, 0xfd, 0x55, 0x02, 0x25, 0x84, 0x0e,
-  0x6d, 0xf7, 0xc3, 0xc9, 0x4e, 0x4c, 0x5d, 0x5d, 0x86, 0x5a, 0x9d, 0xbc,
-  0x52, 0x6f, 0x51, 0x32, 0x35, 0x10, 0x74, 0x11, 0x88, 0xec, 0xdb, 0x0f,
-  0x6f, 0xfe, 0x66, 0x78, 0x94, 0x75, 0x55, 0xe9, 0xcf, 0xd7, 0x42, 0x84,
-  0x22, 0x97, 0xbc, 0x9c, 0xdf, 0xb2, 0x40, 0x83, 0x4f, 0x05, 0x0d, 0x1e,
-  0x2f, 0xa5, 0xc9, 0x2a, 0x77, 0x06, 0xbe, 0x5b, 0xdc, 0x56, 0x78, 0xfd,
-  0xbe, 0x2a, 0xde, 0x24, 0xbd, 0x8d, 0x9d, 0xae, 0x11, 0x6d, 0xff, 0x0b,
-  0xfb, 0xde, 0xc9, 0xdc, 0x47, 0x89, 0x27, 0xd8, 0xb9, 0xfa, 0xfa, 0x2b,
-  0x72, 0x73, 0xb4, 0x62, 0x87, 0xc2, 0x20, 0x1d, 0x97, 0xd2, 0x27, 0xc9,
-  0xe5, 0x2c, 0x1a, 0xd3, 0x92, 0x88, 0xb1, 0xbc, 0x8a, 0xfa, 0xa3, 0x14,
-  0x83, 0xf1, 0x0f, 0x0e, 0x55, 0x03, 0xb6, 0x03, 0x65, 0x5b, 0x98, 0x01
+static const uint8_t d_4096[] = { /* key component d, 512 bytes */
+  0x97, 0xb1, 0xd3, 0x4a, 0x4b, 0x73, 0xe6, 0xba, 0x89, 0xbf, 0x60, 0xe7,
+  0x0a, 0x3b, 0xfd, 0x0f, 0x25, 0x4c, 0x7f, 0x69, 0xe2, 0x28, 0x25, 0xb9,
+  0x75, 0x4f, 0xbc, 0x92, 0xd0, 0xdb, 0xf0, 0x96, 0xa8, 0x88, 0x93, 0x3a,
+  0x5d, 0x20, 0x33, 0x7d, 0x00, 0x88, 0x72, 0x3a, 0xde, 0xd1, 0x94, 0x18,
+  0x2b, 0x0f, 0x58, 0xb5, 0xaf, 0x29, 0xb0, 0x26, 0xd7, 0x92, 0xa0, 0x76,
+  0x38, 0x76, 0x92, 0xce, 0xee, 0x8c, 0x8d, 0x31, 0xf8, 0xbd, 0x8b, 0xd1,
+  0x97, 0x78, 0x7d, 0x27, 0x05, 0xae, 0x97, 0xde, 0xdf, 0x35, 0xe1, 0x5c,
+  0x59, 0x78, 0xb5, 0xbf, 0x18, 0x85, 0x1d, 0xea, 0x58, 0x4b, 0x48, 0xda,
+  0x0d, 0x91, 0x53, 0x1b, 0x74, 0x09, 0x0b, 0x34, 0xd0, 0xaa, 0xbb, 0x1d,
+  0x16, 0xb6, 0xad, 0xf4, 0xcb, 0x1a, 0x48, 0x28, 0xcc, 0xe0, 0x3c, 0x04,
+  0x35, 0xd7, 0xb6, 0xfa, 0xd7, 0xc2, 0x3b, 0x86, 0x54, 0x9c, 0x3d, 0x88,
+  0x51, 0x9d, 0xb1, 0x3f, 0xc4, 0xe1, 0x2b, 0x9f, 0x12, 0x4f, 0x78, 0x1b,
+  0xbf, 0x9a, 0x29, 0x4e, 0x11, 0x4c, 0x64, 0x91, 0x2c, 0x81, 0x07, 0xf7,
+  0x12, 0x58, 0xeb, 0x6d, 0x6b, 0xf2, 0xbc, 0x8b, 0x4d, 0x7b, 0x79, 0x90,
+  0xba, 0x2a, 0xa4, 0x36, 0x48, 0xba, 0x83, 0x0c, 0x81, 0xee, 0x70, 0xd8,
+  0x6d, 0xca, 0x9f, 0xdb, 0xdf, 0xa0, 0x44, 0x1b, 0x08, 0x96, 0x6f, 0x89,
+  0x24, 0xca, 0x8e, 0x68, 0x81, 0x0b, 0x13, 0x1b, 0x1e, 0x91, 0x36, 0x41,
+  0xc5, 0xc4, 0x4c, 0x53, 0x01, 0x48, 0x8c, 0xbf, 0xe1, 0x18, 0x0a, 0x8c,
+  0xd7, 0x2d, 0xd1, 0xa7, 0xd5, 0xc2, 0x66, 0x8f, 0x3b, 0xb7, 0x9b, 0x20,
+  0xbd, 0xd7, 0x7d, 0xda, 0xea, 0xb2, 0x20, 0x9e, 0x8b, 0xb9, 0x02, 0x2f,
+  0xc4, 0x5b, 0xb4, 0x57, 0xfa, 0xff, 0x74, 0x60, 0xe6, 0xd0, 0xa4, 0x66,
+  0x62, 0x58, 0xa6, 0x72, 0x2b, 0x41, 0x3a, 0xb8, 0xab, 0x03, 0xbf, 0x14,
+  0x83, 0xb6, 0x22, 0xbe, 0xea, 0xfa, 0x07, 0xf7, 0x5c, 0xbb, 0x34, 0x48,
+  0x31, 0xb4, 0xf3, 0x1b, 0xac, 0xd3, 0x61, 0xe7, 0xf9, 0x09, 0x6a, 0x8d,
+  0x9c, 0x3c, 0x3f, 0x64, 0xa4, 0xae, 0x9e, 0xe7, 0xae, 0x5c, 0x8a, 0x4b,
+  0x4b, 0x88, 0x9d, 0xa0, 0xd9, 0x75, 0x3a, 0x96, 0xa1, 0xf9, 0xef, 0xc6,
+  0x51, 0x77, 0x37, 0x9d, 0x30, 0x99, 0xd2, 0x95, 0xa4, 0x19, 0x1a, 0xd2,
+  0x95, 0x6e, 0xca, 0xf4, 0x44, 0x3b, 0xda, 0x41, 0xe1, 0x1e, 0xba, 0x8c,
+  0xf3, 0x73, 0x5f, 0x65, 0x1c, 0xa6, 0x64, 0x99, 0x45, 0xc0, 0x96, 0x23,
+  0xa4, 0x5c, 0xf5, 0x8a, 0xc7, 0x8c, 0xac, 0x64, 0xc5, 0x09, 0x9c, 0x73,
+  0x14, 0x50, 0x06, 0x5a, 0xb8, 0x2e, 0x93, 0x77, 0x3d, 0x2f, 0x40, 0x18,
+  0x9c, 0xa5, 0x3f, 0x53, 0x6c, 0x2c, 0xdb, 0x78, 0x1f, 0x09, 0x2e, 0x13,
+  0xac, 0xc4, 0x86, 0xa0, 0x2c, 0xdc, 0xcd, 0xf2, 0x8c, 0xae, 0xe0, 0xcb,
+  0x61, 0x99, 0x3d, 0x92, 0x29, 0x1b, 0x0f, 0xa1, 0x86, 0xd9, 0x03, 0xaa,
+  0xe4, 0x7e, 0x82, 0xa0, 0xaf, 0x39, 0x86, 0x8d, 0x6e, 0x14, 0xe2, 0x6f,
+  0xa2, 0x9c, 0x0b, 0x13, 0x50, 0x77, 0x8e, 0xed, 0x96, 0x83, 0xab, 0xea,
+  0x9a, 0x5e, 0xc4, 0x79, 0x9a, 0x52, 0xb4, 0xf0, 0x9c, 0x63, 0xb5, 0x17,
+  0x36, 0x42, 0x0b, 0xb2, 0xa0, 0xc9, 0xed, 0xb2, 0x69, 0x97, 0x94, 0xcd,
+  0xcb, 0xb1, 0xbb, 0x89, 0x61, 0x4e, 0x23, 0x51, 0xec, 0x6c, 0x26, 0x30,
+  0x19, 0x62, 0xa8, 0xd7, 0xca, 0x43, 0xf1, 0xdf, 0x03, 0xb7, 0xb3, 0x7d,
+  0x9e, 0x0d, 0xbc, 0x8a, 0xc4, 0x58, 0x4d, 0x8d, 0x23, 0x82, 0xcc, 0x6b,
+  0xcf, 0xfc, 0x3b, 0xf1, 0x73, 0xd0, 0x59, 0x72, 0x62, 0xdf, 0x70, 0x00,
+  0x3d, 0x3b, 0xe8, 0x43, 0x4f, 0xf8, 0xb0, 0x01
 };
 
-static const uint8_t p_4096[] = { /* key component p, 516 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xdc, 0xe8, 0xed, 0xc5,
-  0xfc, 0x19, 0x0b, 0x24, 0xb4, 0xc8, 0xa6, 0xbd, 0xfd, 0x66, 0xca, 0x6d,
-  0x76, 0x6d, 0x89, 0xee, 0x87, 0x1e, 0x3f, 0xc8, 0xaa, 0xc7, 0xbf, 0x98,
-  0xd2, 0x32, 0xdd, 0xd9, 0x74, 0x75, 0x2f, 0x11, 0x90, 0x5c, 0xe9, 0x5c,
-  0xb8, 0xda, 0xca, 0xdc, 0x9f, 0x14, 0xd7, 0xf6, 0xa3, 0xc5, 0xe2, 0xc5,
-  0xa5, 0x07, 0xc3, 0xd1, 0xa0, 0x60, 0x49, 0xc2, 0xbb, 0x62, 0xbb, 0x1b,
-  0x68, 0x3d, 0x51, 0xd2, 0x37, 0x0e, 0x1a, 0x87, 0x07, 0x91, 0xc5, 0x4d,
-  0x06, 0xc7, 0x82, 0xb6, 0x16, 0xf6, 0x2c, 0xe2, 0x2e, 0x07, 0x27, 0xad,
-  0x3f, 0x5e, 0x3e, 0x0d, 0x78, 0x82, 0xf4, 0xa3, 0x99, 0x33, 0x9f, 0x9a,
-  0xa7, 0x63, 0xa9, 0x4c, 0x14, 0xb3, 0xe2, 0x11, 0x95, 0x61, 0xcd, 0x2f,
-  0xdd, 0xc2, 0x2f, 0xcd, 0xec, 0x86, 0x50, 0x35, 0xab, 0xc4, 0x17, 0x88,
-  0x81, 0xdb, 0x3f, 0xe5, 0x14, 0x03, 0x4f, 0x40, 0x5c, 0x2b, 0x10, 0xd6,
-  0xd8, 0xb0, 0x06, 0x9c, 0x90, 0xa4, 0x0f, 0xda, 0x36, 0xcb, 0x3c, 0x8c,
-  0xd5, 0x95, 0x70, 0xa8, 0x03, 0xde, 0x13, 0x6b, 0xd5, 0x07, 0xd9, 0x1a,
-  0x9a, 0x76, 0xc1, 0xd2, 0xd7, 0x5c, 0x8a, 0xc3, 0xde, 0x88, 0xed, 0xdf,
-  0x43, 0x5f, 0x3f, 0x98, 0x4f, 0x3f, 0xf1, 0xee, 0xfc, 0x48, 0xc9, 0x64,
-  0xb5, 0xa9, 0x3c, 0x2e, 0x74, 0xd0, 0x70, 0x03, 0x75, 0x65, 0xd4, 0x2c,
-  0xde, 0xbe, 0x69, 0x3e, 0x41, 0x6c, 0x88, 0x08, 0x50, 0x7f, 0x86, 0x00,
-  0x8f, 0x8c, 0xc7, 0x39, 0x6d, 0x90, 0x11, 0xe9, 0xae, 0x4d, 0x01, 0x58,
-  0xda, 0x18, 0xa5, 0xf5, 0x15, 0xf5, 0x39, 0xaf, 0x1b, 0xf8, 0x21, 0xdf,
-  0xd2, 0x57, 0x41, 0xca, 0x64, 0xb5, 0xb0, 0x66, 0x07, 0xc4, 0x80, 0xc0,
-  0xc0, 0x36, 0x05, 0x22, 0x95, 0x2d, 0xbf, 0x9c, 0xc1, 0xc8, 0x90, 0x91
+static const uint8_t p_4096[] = { /* key component p, 256 bytes */
+  0xc9, 0x6c, 0x26, 0x11, 0xb3, 0x7e, 0x87, 0x65, 0x5c, 0x55, 0xa8, 0xbc,
+  0x88, 0x57, 0xf9, 0xb1, 0x5f, 0x6e, 0xe0, 0xd1, 0x5e, 0x73, 0x11, 0xd8,
+  0xfb, 0x70, 0xab, 0x21, 0xa2, 0x69, 0xe1, 0x1d, 0xd5, 0xda, 0x01, 0x58,
+  0x1d, 0x57, 0x28, 0x88, 0x00, 0xcf, 0x53, 0x7c, 0xa7, 0xf0, 0xed, 0x0f,
+  0xc2, 0x6d, 0x54, 0x3c, 0xa6, 0x5e, 0x8a, 0x7f, 0xca, 0x67, 0xdc, 0x4f,
+  0x63, 0xce, 0x4d, 0x12, 0x7b, 0x9e, 0xd2, 0xe2, 0x68, 0x6d, 0xea, 0xd6,
+  0x05, 0xe2, 0x02, 0x57, 0xf8, 0xa9, 0x7c, 0x90, 0x7d, 0x0a, 0x04, 0xff,
+  0x47, 0xf1, 0x5e, 0x24, 0x95, 0x08, 0x3a, 0x27, 0x30, 0xe6, 0x6b, 0xbb,
+  0x95, 0xe8, 0x08, 0x67, 0x9a, 0xab, 0x8a, 0xd4, 0x41, 0xc7, 0x68, 0xdd,
+  0xd6, 0x92, 0xbe, 0x63, 0x15, 0x72, 0x62, 0xf8, 0x2c, 0x44, 0x37, 0x0d,
+  0xa6, 0x19, 0xa8, 0x16, 0x9c, 0x9c, 0x29, 0xf7, 0x6b, 0xb9, 0xb3, 0x57,
+  0x03, 0x75, 0xf0, 0xf3, 0x67, 0xbf, 0xfb, 0x1f, 0xa2, 0x15, 0xfa, 0xf9,
+  0x40, 0xfc, 0x58, 0xe1, 0x94, 0xf4, 0x5c, 0xda, 0x15, 0x43, 0xb2, 0x82,
+  0xa2, 0x7f, 0x06, 0xea, 0x14, 0x74, 0x46, 0x5d, 0xbb, 0x6f, 0xe5, 0x66,
+  0x2d, 0x29, 0x47, 0xaa, 0x34, 0x3c, 0x01, 0x7a, 0x6f, 0xcd, 0x7f, 0x68,
+  0x92, 0xb4, 0x27, 0x76, 0xe6, 0x97, 0x5c, 0xdf, 0x59, 0x17, 0x31, 0x50,
+  0xce, 0x00, 0x73, 0x88, 0x33, 0x3a, 0x07, 0x16, 0x86, 0x75, 0xe0, 0x8a,
+  0x8e, 0xfe, 0x0a, 0xe7, 0xe1, 0x88, 0xe5, 0x18, 0x6c, 0x79, 0x86, 0xd8,
+  0x46, 0x48, 0x38, 0x04, 0x28, 0x29, 0x12, 0x87, 0x26, 0x69, 0xa7, 0xf6,
+  0x78, 0xb6, 0x6e, 0x05, 0x1a, 0x14, 0x26, 0x63, 0x08, 0x4b, 0xf2, 0x6d,
+  0xd8, 0x2f, 0x29, 0x45, 0x85, 0x56, 0x47, 0x6c, 0xee, 0x1c, 0x35, 0xe1,
+  0x3d, 0xf9, 0x6d, 0xf1
 };
 
-static const uint8_t q_4096[] = { /* key component q, 516 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xde, 0x54, 0x45, 0xd2,
-  0x8a, 0x56, 0x9c, 0x26, 0x94, 0x78, 0xc1, 0x43, 0x3b, 0x17, 0x65, 0x3e,
-  0x7f, 0x21, 0x16, 0x4a, 0xec, 0x0a, 0x8d, 0xd1, 0x9c, 0x7d, 0xaa, 0x60,
-  0xe3, 0x21, 0x99, 0x2d, 0x07, 0x50, 0x79, 0x27, 0xea, 0x65, 0xbf, 0xaa,
-  0xb9, 0x7c, 0x01, 0xa1, 0x2c, 0xb3, 0x94, 0x71, 0x89, 0xda, 0x54, 0x95,
-  0x83, 0x03, 0xc3, 0x90, 0x2e, 0xa8, 0xc9, 0x74, 0x66, 0xc4, 0xf0, 0x6c,
-  0xaa, 0xaf, 0xe5, 0x1a, 0x15, 0x67, 0x8f, 0x0e, 0xaf, 0xcf, 0xee, 0xa9,
-  0xf1, 0x08, 0xf5, 0xc4, 0x00, 0x96, 0x66, 0xea, 0x74, 0x51, 0xb6, 0x27,
-  0xe5, 0x5c, 0x21, 0x54, 0xea, 0x0c, 0x7f, 0x9c, 0xfe, 0x37, 0xbb, 0x13,
-  0x7a, 0x61, 0xf0, 0xff, 0x87, 0x28, 0x65, 0xc3, 0xc7, 0xf1, 0x4c, 0xe9,
-  0xc1, 0xc6, 0xa6, 0x6f, 0xf7, 0x64, 0x16, 0x7c, 0xc0, 0x30, 0xa3, 0x3d,
-  0xba, 0x29, 0x97, 0x1d, 0xa7, 0xa9, 0x77, 0xb7, 0xb4, 0x0c, 0x72, 0xc9,
-  0xdf, 0xb4, 0x94, 0x48, 0x88, 0xf8, 0xee, 0x14, 0x14, 0xbe, 0x44, 0x6d,
-  0xb2, 0x92, 0x64, 0xa3, 0x38, 0x4e, 0x22, 0xf0, 0x63, 0x6c, 0xef, 0xc6,
-  0x53, 0x05, 0xf7, 0x17, 0x68, 0x8b, 0x03, 0x66, 0x19, 0xeb, 0xa4, 0xaf,
-  0x30, 0xb2, 0xae, 0xba, 0xb5, 0x84, 0xab, 0x8d, 0x0c, 0xb3, 0x72, 0x6e,
-  0x1a, 0xb9, 0xa9, 0x45, 0xbe, 0x21, 0xbe, 0xc1, 0xb1, 0xba, 0x2f, 0x7c,
-  0x86, 0xac, 0x42, 0x24, 0xcb, 0x99, 0x32, 0x5d, 0x4f, 0xde, 0x26, 0x33,
-  0xfb, 0x14, 0xa9, 0x79, 0x6f, 0x22, 0x52, 0xc4, 0xdb, 0x77, 0xba, 0xf0,
-  0xcf, 0xee, 0x6f, 0x29, 0xdb, 0x8f, 0x37, 0x9f, 0x39, 0x5b, 0xd3, 0x5c,
-  0xb2, 0xbd, 0x8c, 0x86, 0x75, 0x39, 0x6e, 0x9f, 0x1c, 0x42, 0x0b, 0x74,
-  0xaa, 0x13, 0xef, 0x03, 0xbc, 0xed, 0x11, 0x3b, 0xa8, 0x40, 0xcd, 0x11
+static const uint8_t q_4096[] = { /* key component q, 256 bytes */
+  0xfb, 0xc8, 0x06, 0xfb, 0x50, 0xe1, 0x8a, 0x5d, 0x91, 0xb3, 0xe0, 0xad,
+  0xc3, 0xfd, 0xb6, 0xd1, 0x34, 0xa3, 0x35, 0xe1, 0x09, 0x4b, 0xf5, 0x0d,
+  0xf0, 0x6a, 0x54, 0xf0, 0x65, 0xf8, 0xf9, 0x9d, 0xbf, 0xed, 0xb8, 0xbc,
+  0x2f, 0x47, 0x01, 0x06, 0x42, 0x39, 0x6c, 0x93, 0x80, 0xb0, 0x77, 0x56,
+  0x53, 0xcf, 0x92, 0x42, 0x06, 0x8b, 0x4a, 0x09, 0xdb, 0x11, 0x47, 0xfa,
+  0x7a, 0xf2, 0x2a, 0xcb, 0x1a, 0x78, 0x7f, 0x13, 0x64, 0xaf, 0x1f, 0xb4,
+  0x20, 0x4a, 0x75, 0xb7, 0xf4, 0x35, 0x05, 0x4b, 0x7b, 0x8e, 0xb8, 0xc6,
+  0xdf, 0xca, 0xf6, 0xc9, 0x54, 0x52, 0x8f, 0xa5, 0x95, 0xce, 0xe6, 0x5b,
+  0x52, 0x83, 0x38, 0x65, 0xd8, 0x12, 0x84, 0x9c, 0x72, 0xa5, 0xb7, 0x0b,
+  0x21, 0xdf, 0xd3, 0xeb, 0x84, 0x47, 0x54, 0x4d, 0x3b, 0xbd, 0xae, 0xd9,
+  0x89, 0xd9, 0xa5, 0x11, 0xb4, 0xcb, 0x58, 0x4e, 0xa7, 0xd9, 0xe0, 0xc2,
+  0x39, 0xd8, 0xb7, 0xbe, 0xe4, 0x38, 0x83, 0x6f, 0x7b, 0x13, 0xb9, 0xc2,
+  0x91, 0x2c, 0x1c, 0x78, 0x4d, 0x28, 0x83, 0x80, 0x24, 0xa8, 0x31, 0x16,
+  0x4d, 0x4a, 0x10, 0x7f, 0xbc, 0xc0, 0x82, 0x8a, 0x6b, 0x68, 0xb6, 0xe9,
+  0x63, 0xbd, 0xdf, 0x56, 0x37, 0xa2, 0x68, 0xa4, 0x2f, 0x56, 0x22, 0xc4,
+  0x49, 0x05, 0x25, 0x3e, 0xbf, 0x2e, 0x87, 0x49, 0x98, 0x3a, 0x5f, 0x96,
+  0xf2, 0x2c, 0x96, 0x9e, 0xbd, 0xcd, 0xa3, 0xfa, 0x75, 0xe8, 0x62, 0x1a,
+  0xe2, 0xee, 0x91, 0xb0, 0xe4, 0xdb, 0x77, 0xea, 0x61, 0x6b, 0x1e, 0x58,
+  0x72, 0x7c, 0xd9, 0x9b, 0xf9, 0x9b, 0x7a, 0x1e, 0x84, 0xcb, 0xe8, 0x9f,
+  0xb1, 0x29, 0x7d, 0xc3, 0xa3, 0xe6, 0x89, 0x12, 0xed, 0x52, 0xb2, 0x9d,
+  0x13, 0xc6, 0xa9, 0xfc, 0x00, 0x53, 0x70, 0x70, 0xfd, 0x5a, 0xc2, 0x13,
+  0x00, 0x68, 0x08, 0xa1
 };
 
-static const uint8_t u_4096[] = { /* key component u, 516 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x7c, 0xf3, 0x95, 0xd0,
-  0x07, 0x8f, 0x76, 0x03, 0x73, 0xff, 0xa5, 0x25, 0x60, 0xc5, 0x3e, 0x5f,
-  0x6d, 0x05, 0x31, 0x59, 0x38, 0xda, 0x2c, 0x17, 0xe3, 0x8c, 0x0f, 0xad,
-  0xf9, 0x3b, 0x1d, 0xaf, 0x7e, 0xfb, 0xa6, 0xa3, 0x73, 0xb5, 0x4a, 0xe5,
-  0xe7, 0x65, 0x10, 0x6e, 0x49, 0x29, 0x7c, 0xb2, 0x96, 0xcf, 0xb7, 0x71,
-  0x67, 0x35, 0xe1, 0x87, 0xad, 0x19, 0x16, 0xe3, 0x3a, 0x00, 0x5e, 0x2b,
-  0x78, 0x35, 0x94, 0x71, 0x53, 0x2f, 0x97, 0x38, 0x5f, 0xb8, 0x10, 0x16,
-  0xe5, 0xbf, 0x93, 0x42, 0x96, 0xe4, 0x0a, 0xf2, 0x9c, 0xe6, 0xc5, 0x12,
-  0xd3, 0xdb, 0xb2, 0xe1, 0x7e, 0x60, 0x93, 0x0b, 0xe8, 0x37, 0x79, 0x32,
-  0xd0, 0x69, 0x1e, 0x57, 0x30, 0xe5, 0x42, 0xb2, 0xb9, 0x25, 0x93, 0x1e,
-  0x9c, 0xef, 0x1d, 0x4c, 0x24, 0x14, 0x6a, 0x15, 0xf2, 0x43, 0x2c, 0x5f,
-  0xe3, 0x47, 0xa9, 0x8d, 0xa2, 0xa6, 0x59, 0x79, 0xe4, 0x0e, 0xe0, 0x01,
-  0x68, 0x7d, 0x23, 0x8b, 0xf3, 0x8b, 0x6c, 0xbc, 0x22, 0x8a, 0x43, 0xcc,
-  0x51, 0xb7, 0x93, 0xbb, 0xea, 0x2a, 0x8a, 0xda, 0x7a, 0x76, 0xe7, 0x84,
-  0x11, 0x2c, 0xd4, 0x87, 0xc0, 0x82, 0x76, 0x3b, 0xe6, 0x76, 0xf9, 0x67,
-  0xec, 0x91, 0x20, 0xab, 0xcf, 0x23, 0x83, 0x9e, 0x73, 0x80, 0x81, 0x3e,
-  0x01, 0x8a, 0x68, 0xcc, 0x77, 0x8a, 0xee, 0xdf, 0x8a, 0x7b, 0x5e, 0xf4,
-  0xd5, 0xfa, 0x6e, 0xde, 0x5d, 0x56, 0x05, 0x41, 0x65, 0x47, 0x0e, 0x8d,
-  0x22, 0x15, 0xa1, 0x0e, 0x23, 0x20, 0x0d, 0xa8, 0xc3, 0x7c, 0x49, 0xde,
-  0xe7, 0x88, 0x5a, 0x9c, 0x5d, 0xd6, 0x5c, 0xe1, 0xb4, 0x5e, 0xc0, 0xf2,
-  0x66, 0x7d, 0xdf, 0x83, 0xc8, 0xdb, 0xe4, 0xdf, 0x22, 0xdf, 0x9e, 0xf8,
-  0x18, 0xff, 0x76, 0xc9, 0xf7, 0x08, 0x89, 0x6a, 0x4e, 0x67, 0x1c, 0x7a
+static const uint8_t u_4096[] = { /* key component u, 256 bytes */
+  0x17, 0x6d, 0x50, 0x05, 0xa2, 0x81, 0x24, 0x76, 0xce, 0xe4, 0x5b, 0xad,
+  0xfd, 0x41, 0x05, 0xac, 0x59, 0xe9, 0x03, 0x22, 0x4c, 0x8e, 0x70, 0xe1,
+  0xee, 0xfb, 0x66, 0x29, 0xee, 0x8e, 0x9a, 0x59, 0x84, 0x6c, 0x07, 0x71,
+  0xbb, 0x3c, 0x78, 0xf1, 0xa0, 0x5a, 0x23, 0x18, 0x35, 0xf9, 0xc6, 0x4e,
+  0x58, 0x64, 0xc0, 0xba, 0xa0, 0x35, 0xe7, 0xf6, 0x62, 0x20, 0x35, 0x61,
+  0x4f, 0x2b, 0x20, 0x62, 0x90, 0xfb, 0x77, 0x52, 0x0e, 0xdc, 0x17, 0x02,
+  0x10, 0xc3, 0xe6, 0x0f, 0xdf, 0x71, 0xf2, 0x94, 0xe8, 0x4b, 0xc6, 0x63,
+  0x57, 0x60, 0x9b, 0x78, 0xdb, 0xf9, 0xac, 0x6b, 0xc2, 0x0b, 0xb7, 0x35,
+  0xa7, 0xf3, 0xdd, 0x5e, 0x28, 0xdc, 0xb3, 0xea, 0xd4, 0xe2, 0xf5, 0xc4,
+  0xbe, 0xa1, 0x8e, 0x53, 0x61, 0x74, 0x82, 0x2d, 0x1c, 0xb4, 0x91, 0x28,
+  0x24, 0x97, 0xb0, 0x28, 0xc8, 0x64, 0x12, 0x45, 0xb5, 0xc4, 0x70, 0x31,
+  0xcc, 0x87, 0x65, 0x93, 0x4c, 0x1a, 0x05, 0x6c, 0x99, 0x9d, 0x03, 0xf5,
+  0x3b, 0x8f, 0x80, 0x1a, 0xe4, 0x40, 0x77, 0x82, 0xc1, 0xb7, 0x6e, 0x22,
+  0x5e, 0x7a, 0x6e, 0x27, 0x57, 0xb9, 0x73, 0xd7, 0xc1, 0x4b, 0x41, 0x14,
+  0x8d, 0xbb, 0x29, 0x21, 0xd9, 0xa3, 0x43, 0x4d, 0x44, 0x41, 0xe3, 0x20,
+  0x0f, 0x6f, 0x71, 0x18, 0x64, 0xc5, 0xc9, 0x94, 0x94, 0x28, 0xb3, 0x4e,
+  0x62, 0xe7, 0x69, 0xf9, 0xca, 0xa5, 0xbe, 0x49, 0xd0, 0xf0, 0xef, 0x97,
+  0x4e, 0x6a, 0x93, 0x4b, 0xb5, 0xb1, 0x95, 0x75, 0xa1, 0xc6, 0xed, 0x58,
+  0x46, 0xf0, 0x27, 0x24, 0x24, 0x9b, 0x6d, 0x48, 0xc0, 0x74, 0x6c, 0x0d,
+  0x92, 0xb7, 0x50, 0xe2, 0x7a, 0xce, 0xac, 0x48, 0xcc, 0x6c, 0x3c, 0x2b,
+  0x77, 0x06, 0x67, 0x41, 0x8c, 0xd6, 0xce, 0x41, 0x0c, 0x33, 0x8e, 0x8b,
+  0x32, 0x74, 0x7c, 0x25
 };
 
-static const uint8_t m_4096[] = { /* message to be signed, 516 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+static const uint8_t m_4096[] = { /* message to be signed, 512 bytes */
+  0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
@@ -738,57 +554,57 @@ static const uint8_t m_4096[] = { /* message to be signed, 516 bytes */
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
   0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
-  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30,
-  0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01,
-  0x05, 0x00, 0x04, 0x20, 0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3,
-  0x24, 0x16, 0x26, 0x3c, 0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b,
-  0x74, 0x1c, 0xa6, 0x49, 0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97
+  0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60,
+  0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20,
+  0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c,
+  0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49,
+  0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97
 };
 
-static const uint8_t s_4096[] = { /* signed message, 516 bytes */
-  0x00, 0x00, 0x00, 0x00, 0x6c, 0x1e, 0xb1, 0xa7, 0x14, 0xf6, 0x22, 0xfe,
-  0xa4, 0xcd, 0x99, 0x45, 0x31, 0x5f, 0x6a, 0xaa, 0x8f, 0x12, 0x23, 0x29,
-  0xef, 0x66, 0x84, 0x3d, 0xd0, 0x87, 0x2e, 0xa2, 0x20, 0xef, 0x7d, 0xa9,
-  0xa1, 0xfb, 0x8d, 0x4a, 0x13, 0xdb, 0x1f, 0x6e, 0xbf, 0x92, 0x2d, 0xcd,
-  0x96, 0x9f, 0x7b, 0x7e, 0x8c, 0xae, 0x5f, 0x22, 0xa2, 0xbf, 0x08, 0x00,
-  0x4c, 0x01, 0xfe, 0x38, 0x85, 0x57, 0x21, 0x70, 0x6d, 0x6a, 0x9f, 0x5f,
-  0xb1, 0x52, 0x71, 0xba, 0x1f, 0x98, 0xe0, 0x16, 0x0e, 0x0d, 0xaf, 0x64,
-  0xd2, 0x2b, 0x21, 0xd1, 0x5c, 0x98, 0x0a, 0x5d, 0xdc, 0x22, 0x19, 0x4f,
-  0xff, 0x41, 0x68, 0xe0, 0xee, 0x6f, 0x38, 0x6f, 0xf1, 0x5b, 0x86, 0x95,
-  0xce, 0x4c, 0xf7, 0xf3, 0xf4, 0x29, 0x31, 0xa5, 0xe7, 0x03, 0x5a, 0x34,
-  0x99, 0xff, 0x7a, 0x24, 0x92, 0x4d, 0xf1, 0x50, 0xe6, 0x11, 0xc5, 0xf3,
-  0x63, 0x02, 0xaf, 0x67, 0x49, 0x3b, 0x0a, 0x52, 0xf9, 0xb0, 0x5e, 0x20,
-  0x70, 0xc9, 0x64, 0x2c, 0x80, 0x11, 0xc3, 0x75, 0xdf, 0x25, 0xfa, 0xdc,
-  0x08, 0x13, 0xaa, 0x3f, 0x28, 0xa3, 0x8e, 0x8f, 0x20, 0x07, 0x62, 0x9f,
-  0xdf, 0xeb, 0xba, 0x7a, 0x44, 0xef, 0x3b, 0xa2, 0x38, 0x1b, 0xde, 0x23,
-  0x62, 0xd4, 0xf7, 0xa6, 0x95, 0xae, 0xa7, 0x1e, 0x38, 0x4e, 0x85, 0x19,
-  0xd4, 0x10, 0x52, 0xf4, 0x26, 0xd3, 0x1c, 0xe9, 0x88, 0xd5, 0xb3, 0xee,
-  0x6f, 0xac, 0x66, 0x5b, 0x10, 0xcf, 0xa9, 0x9a, 0x11, 0x02, 0x50, 0x70,
-  0xd8, 0xba, 0x3c, 0x81, 0x87, 0x90, 0xd0, 0xb2, 0xc5, 0xe8, 0x60, 0x75,
-  0x52, 0x82, 0x60, 0x2a, 0x3b, 0x37, 0x67, 0x21, 0x47, 0x59, 0x85, 0xb3,
-  0xb4, 0x97, 0x18, 0x65, 0xa9, 0xef, 0xb8, 0x6d, 0x83, 0x01, 0x37, 0x51,
-  0x8f, 0x92, 0x89, 0xc3, 0xc4, 0x12, 0x71, 0x65, 0xd7, 0x1b, 0xe0, 0x91,
-  0x6a, 0xc3, 0xf3, 0x56, 0x77, 0x31, 0xb0, 0x23, 0xbd, 0x0f, 0x6b, 0xe9,
-  0x31, 0x52, 0xe8, 0x91, 0x64, 0xd2, 0x44, 0x3e, 0xcd, 0xe3, 0xf1, 0xf1,
-  0xcc, 0xfc, 0xda, 0x88, 0x44, 0xc9, 0xb4, 0x83, 0xfb, 0x8e, 0x38, 0x08,
-  0x4e, 0x59, 0xdf, 0x20, 0x84, 0x95, 0x6b, 0x8b, 0x79, 0xfd, 0x33, 0xf0,
-  0x19, 0xea, 0x14, 0x43, 0xb5, 0x9a, 0x93, 0xc9, 0x8d, 0x2e, 0x07, 0x1a,
-  0x0a, 0x5e, 0x5d, 0x2e, 0x52, 0xef, 0x7f, 0xf8, 0x33, 0x2d, 0xaa, 0x99,
-  0x94, 0x7f, 0x10, 0x4d, 0x5b, 0xa2, 0x26, 0x8e, 0x69, 0x26, 0xb3, 0xe9,
-  0xa8, 0xc4, 0xf1, 0x31, 0x81, 0x42, 0x15, 0x4e, 0x62, 0x6c, 0x59, 0x59,
-  0xf7, 0xac, 0xb4, 0xf9, 0x56, 0x85, 0xef, 0x5f, 0x71, 0xb5, 0x2a, 0xcb,
-  0x69, 0xfc, 0xf3, 0x3c, 0xbc, 0xea, 0x33, 0x0d, 0x82, 0x0f, 0xa8, 0x17,
-  0x3e, 0x8f, 0x5b, 0x1e, 0x04, 0x9c, 0xbf, 0x29, 0x25, 0xe6, 0x2d, 0x8f,
-  0x8f, 0x1b, 0x92, 0xea, 0xe8, 0xd6, 0x7c, 0x32, 0x54, 0x12, 0x09, 0xd2,
-  0x4a, 0xcd, 0x45, 0xfe, 0x66, 0x1b, 0x48, 0xcc, 0x00, 0xef, 0xad, 0xef,
-  0x01, 0xf6, 0x25, 0x6f, 0xbf, 0x3c, 0xc5, 0x35, 0x22, 0x6c, 0xc6, 0x47,
-  0xca, 0x6d, 0xf2, 0xe7, 0xf1, 0x08, 0x93, 0x04, 0x10, 0xcb, 0x5b, 0xdf,
-  0xab, 0x3a, 0x97, 0x40, 0xd9, 0xa9, 0xcc, 0xe6, 0x73, 0xc0, 0xa4, 0x00,
-  0xfe, 0x15, 0xf7, 0x39, 0xa0, 0x75, 0x1f, 0x08, 0xd4, 0xcf, 0xa8, 0x33,
-  0x24, 0x42, 0x8e, 0x68, 0xe2, 0x1c, 0xd5, 0x42, 0xdc, 0x89, 0xb4, 0x41,
-  0xa1, 0x27, 0x1a, 0xb3, 0x9c, 0x28, 0x43, 0x09, 0x41, 0x5a, 0xce, 0x82,
-  0xa3, 0x06, 0x80, 0x2b, 0x3c, 0x51, 0xe3, 0xee, 0xdb, 0xc0, 0xe6, 0x1c,
-  0x88, 0xd8, 0x75, 0x32, 0x0a, 0xf3, 0x86, 0x9c, 0x4d, 0x9b, 0x7b, 0xc3
+static const uint8_t s_4096[] = { /* signed message, 512 bytes */
+  0x1f, 0xf4, 0x15, 0x31, 0x5b, 0x8c, 0x8f, 0xb4, 0xe1, 0x8c, 0x9e, 0x7b,
+  0x9d, 0x48, 0x3a, 0xa6, 0x3e, 0xd5, 0x86, 0x8e, 0x0e, 0xdc, 0x2f, 0x3c,
+  0xae, 0xfd, 0xda, 0xad, 0x6a, 0x6b, 0x3a, 0x73, 0xc9, 0xca, 0x69, 0x79,
+  0x85, 0x59, 0xbd, 0xd1, 0xca, 0x7b, 0xf5, 0xe2, 0xc4, 0x32, 0x98, 0xcb,
+  0x1e, 0x57, 0x20, 0x3c, 0xe8, 0xd7, 0x8d, 0x3a, 0x73, 0xd9, 0x44, 0xca,
+  0x3b, 0x38, 0x92, 0x7c, 0xb0, 0x7c, 0x38, 0x6a, 0x2d, 0xa9, 0x3e, 0xc3,
+  0x5e, 0x77, 0xf3, 0x5d, 0x43, 0x3b, 0xea, 0xff, 0x23, 0x2a, 0x13, 0x50,
+  0x8c, 0x1a, 0x72, 0xe1, 0xc8, 0x55, 0x53, 0x3d, 0xbb, 0xf9, 0x7f, 0x3f,
+  0xb6, 0xf7, 0xec, 0xd9, 0x64, 0x45, 0x8f, 0xc7, 0xf8, 0x9d, 0xb1, 0xcb,
+  0x84, 0xa1, 0x6d, 0xbf, 0x15, 0xa2, 0x4e, 0x32, 0xcf, 0xdd, 0x98, 0x72,
+  0xe2, 0xfd, 0x43, 0x1d, 0x44, 0xde, 0xed, 0xc5, 0x43, 0x76, 0xdd, 0xf9,
+  0x13, 0xb9, 0x5d, 0x30, 0xd0, 0x69, 0xda, 0x2a, 0xce, 0xd0, 0x79, 0x88,
+  0xcc, 0x94, 0x7f, 0x35, 0xdf, 0x30, 0xb7, 0x05, 0xa9, 0x54, 0x41, 0x0e,
+  0x8a, 0x0d, 0x56, 0xb2, 0xf7, 0x1b, 0xe8, 0xb2, 0xb8, 0xd2, 0xe5, 0x4b,
+  0x3d, 0x2a, 0x57, 0x27, 0x02, 0xe0, 0x69, 0xb7, 0x52, 0x8a, 0xb3, 0x39,
+  0x5e, 0xdb, 0x5f, 0x52, 0x09, 0x62, 0xe8, 0xf2, 0xdb, 0x50, 0x44, 0x00,
+  0x77, 0x8a, 0x49, 0x80, 0xee, 0xf7, 0xad, 0x99, 0xb4, 0x73, 0xd3, 0x01,
+  0xca, 0xae, 0x09, 0x9f, 0xad, 0xb0, 0x23, 0xb1, 0x5b, 0x5b, 0xed, 0x34,
+  0xb6, 0xbf, 0x71, 0x90, 0xeb, 0xa6, 0x31, 0x58, 0xe5, 0xce, 0xa5, 0x5a,
+  0x7c, 0x7c, 0x6a, 0x90, 0x34, 0x3f, 0x84, 0x16, 0x6c, 0x7c, 0xae, 0x1f,
+  0x00, 0xab, 0x6a, 0xe5, 0x09, 0x09, 0x83, 0xe8, 0xf0, 0x78, 0xfa, 0xe8,
+  0xe9, 0x81, 0xd0, 0x7f, 0xc4, 0x20, 0x70, 0x10, 0xcf, 0xd4, 0x0f, 0x0b,
+  0x0f, 0x50, 0x53, 0x15, 0x62, 0xf5, 0x68, 0xcf, 0x7f, 0x3b, 0xdd, 0x1d,
+  0x88, 0x7a, 0x9b, 0xea, 0x38, 0x89, 0x70, 0x69, 0x04, 0x0b, 0x54, 0xb3,
+  0xc7, 0x9c, 0x27, 0xe3, 0x51, 0xb8, 0xaf, 0x9d, 0xf8, 0xbf, 0xdd, 0x8d,
+  0x9f, 0xe2, 0x33, 0xd5, 0x32, 0x44, 0xd1, 0xae, 0xc3, 0x1e, 0x0f, 0xab,
+  0xcd, 0x41, 0x9a, 0x5f, 0x48, 0x51, 0xe9, 0x4e, 0x46, 0x89, 0xee, 0x53,
+  0xa4, 0x48, 0x36, 0xff, 0xfd, 0xfa, 0xd1, 0xd6, 0xa3, 0x5d, 0xc4, 0xb9,
+  0xbd, 0x87, 0x83, 0xcb, 0x6a, 0x00, 0x6d, 0x3c, 0x07, 0x3e, 0xd3, 0xf5,
+  0x87, 0xb2, 0xa1, 0x85, 0x13, 0x80, 0x59, 0xac, 0x58, 0x8e, 0xcf, 0xf3,
+  0x01, 0x42, 0x09, 0x6b, 0xed, 0x54, 0xbb, 0x82, 0xe6, 0xbb, 0xd9, 0xd2,
+  0xfa, 0x02, 0x90, 0x0f, 0x68, 0xff, 0xa8, 0x26, 0x14, 0x02, 0xc3, 0xf3,
+  0x39, 0xc4, 0xde, 0x7e, 0x66, 0x23, 0xfe, 0x2e, 0x9d, 0x13, 0xdb, 0xc8,
+  0x91, 0x4b, 0x54, 0x7b, 0x2b, 0x78, 0x8b, 0x2b, 0x4e, 0xef, 0x3d, 0x47,
+  0x8c, 0xd7, 0x60, 0x9f, 0x45, 0x26, 0xe6, 0x4e, 0x46, 0x9d, 0x35, 0x52,
+  0x81, 0x8f, 0xc6, 0xd7, 0x5a, 0x4e, 0x90, 0xc5, 0x1a, 0x69, 0x52, 0x40,
+  0x4b, 0x79, 0xef, 0xe7, 0x68, 0x26, 0xe2, 0xbb, 0x52, 0xa5, 0x78, 0xec,
+  0xe4, 0xfb, 0x32, 0xcb, 0x81, 0xad, 0xc0, 0x7b, 0xe4, 0x14, 0x12, 0x80,
+  0xa8, 0xb8, 0xea, 0xb3, 0xbb, 0x28, 0x74, 0x39, 0x89, 0xfa, 0x38, 0x3d,
+  0xa5, 0x8d, 0xfd, 0xb1, 0x3f, 0x20, 0xc1, 0x33, 0x33, 0xa9, 0xcf, 0x1c,
+  0xa1, 0xe6, 0x3a, 0x1e, 0x95, 0x46, 0x37, 0xbc, 0xdd, 0x94, 0x34, 0x53,
+  0x33, 0xef, 0x46, 0x72, 0xde, 0xc2, 0x87, 0xac, 0xe1, 0xfa, 0xb0, 0x67,
+  0xb6, 0xbe, 0x5c, 0x45, 0x78, 0xee, 0xa9, 0xa2
 };
 
 typedef struct { const uint8_t *val; size_t len; } rsa_tc_bn_t;
-- 
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