ModExp now working!

2 files changed, 676 insertions, 533 deletions

diff --git a/tests/test-rsa.c b/tests/test-rsa.c
index 23d1b8b..6813c80 100644
--- a/tests/test-rsa.c
+++ b/tests/test-rsa.c
@@ -119,23 +119,27 @@ static int _set_blockmem(const off_t reset_addr,
   _set_blockmem(_field_##_PTR_RST, #_field_ "_PTR_RST", _field_##_DATA, #_field_ "_DATA", (_value_).val, (_value_).len, _buffer_, sizeof(_buffer_))
 
 /*
- * Test driver.
+ * Run one modexp test.
  */
 
-static int test(const rsa_tc_t * const tc)
+static int test_modexp(const char * const kind,
+		       const rsa_tc_t * const tc,
+		       const rsa_tc_bn_t * const msg, /* Input message */
+		       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);
 
-  printf("Signature test for %lu-bit RSA key\n", (unsigned long) tc->size);
+  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, tc->m, b));
+  check(set_blockmem(MODEXP_MESSAGE, (*msg), b));
   check(set_register(MODEXP_MODULUS_LENGTH, tc->n.len / 4));
 
-  check(set_blockmem(MODEXP_EXPONENT, tc->d, b));
-  check(set_register(MODEXP_EXPONENT_LENGTH, tc->d.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));
@@ -154,45 +158,24 @@ static int test(const rsa_tc_t * const tc)
   check(get_blockmem(MODEXP_RESULT, b, tc->n.len));
 
   printf("Comparing results with known value...");
-  if (memcmp(b, tc->s.val, tc->s.len))
+  if (memcmp(b, val->val, val->len))
     printf("MISMATCH\n");
   else
     printf("OK\n");
-
-  printf("Verification test for %lu-bit RSA key\n", (unsigned long) tc->size);
-
-  check(set_blockmem(MODEXP_MODULUS, tc->n, b));
-  check(set_blockmem(MODEXP_MESSAGE, tc->m, b));
-  check(set_register(MODEXP_MODULUS_LENGTH, tc->n.len / 4));
-
-  check(set_blockmem(MODEXP_EXPONENT, tc->e, b));
-  check(set_register(MODEXP_EXPONENT_LENGTH, tc->e.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));
-
-  printf("Comparing results with known value...");
-  if (memcmp(b, tc->m.val, tc->m.len))
-    printf("MISMATCH\n");
-  else
-    printf("OK\n");
-
   return 0;
 }
 
+/*
+ * Test signature and exponentiation for one RSA keypair.
+ */
+
+static int test_rsa(const rsa_tc_t * const tc)
+{
+  return (test_modexp("Signature",    tc, &tc->m, &tc->d, &tc->s) || /* RSA decryption */
+	  test_modexp("Verification", tc, &tc->s, &tc->e, &tc->m));  /* RSA encryption */
+}
 
 int main(int argc, char *argv[])
 {
@@ -211,14 +194,8 @@ int main(int argc, char *argv[])
    * Run the test cases.
    */
 
-#if 0
-#define N (sizeof(rsa_tc)/sizeof(*rsa_tc))
-#else
-#define N (1)
-#endif
-
-  for (i = 0; i < N; i++)
-    if (test(&rsa_tc[i]))
+  for (i = 0; i < (sizeof(rsa_tc)/sizeof(*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 5ae3ada..419178d 100644
--- a/tests/test-rsa.h
+++ b/tests/test-rsa.h
@@ -8,44 +8,38 @@
 
 /* 1024-bit RSA private key (PKCS #8)
 -----BEGIN PRIVATE KEY-----
-MIICdgIBADANBgkqhkiG9w0BAQEFAASCAmAwggJcAgEAAoGBANB17AqVBI74yqaQ
-c42dWOkXZLQ3ULWMrYpuMZkTX4DuhOsr3ljTjuNYJeker96xuqFaFgsAV8R8x3Ze
-MYaKPhVe5XzvsAjE3WoKie6YpO6clxoH3mHlsNPPcOHNxqDeW0UfL7nbmVGWny+I
-S0sJdJrmxN2+fuYfeSZcat+xazAVAgMBAAECgYA/8myeMmhbk2ZXAijwYDxOBKcX
-wYA4sRbrSDJeytqZKpILskFa7kr+4qN+h7NblRmzNXddmJVT6RMm9G4s32t7hKq/
-qe8kxgC1aHKtXtuQQejs1/hTUTP73vySx0I4QiZ9QOX1yRvXRZV45GD8hYN0MXK+
-03O2lXzA1qaOMxVqYQJBANaRRDD2v64QZYrtBNjRMiryChl8+X0hxd33QXW4AR1A
-SClmLlmJh5RkmsZopkuHEMduJn2yqSQq8wcGnKTiU+cCQQD4tsblcx0D/KZA9i3h
-iMVWvGgJnaxWIRJjQi+6gIVqiBlJr/4FqEi3mXEURkLdGbrBBTdTtp2kKfS96xOO
-eZyjAkBbThWmgFmwyGltZM7bNKoUfEqv7e58wRJiEgVZAqP2vpP2ifTPRSbcjrMO
-GxooqaEKPGVEt/Ih4eTo6Hdf8q+hAkEAllMK1kYERJOg/OSOiKF8/Na1XxKAxjIJ
-BhtL88KYYPJPrn0D4PF8uhOxCBsLcM2LVfzMGvnmQAHn3h5GXLfeVwJAYcoQDtnx
-Et+5wWaTYN9bvQYRBqcChxc/MuUBEyOSxFuyIqIRb3V2XvsXiB1WYqIu6Nsrbzfv
-RdWc9bHUt/bBEw==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 -----END PRIVATE KEY-----
 */
 
-static const uint8_t n_1024[] = { /* key component n, 128 bytes */
-  0xd0, 0x75, 0xec, 0x0a, 0x95, 0x04, 0x8e, 0xf8, 0xca, 0xa6, 0x90, 0x73,
-  0x8d, 0x9d, 0x58, 0xe9, 0x17, 0x64, 0xb4, 0x37, 0x50, 0xb5, 0x8c, 0xad,
-  0x8a, 0x6e, 0x31, 0x99, 0x13, 0x5f, 0x80, 0xee, 0x84, 0xeb, 0x2b, 0xde,
-  0x58, 0xd3, 0x8e, 0xe3, 0x58, 0x25, 0xe9, 0x1e, 0xaf, 0xde, 0xb1, 0xba,
-  0xa1, 0x5a, 0x16, 0x0b, 0x00, 0x57, 0xc4, 0x7c, 0xc7, 0x76, 0x5e, 0x31,
-  0x86, 0x8a, 0x3e, 0x15, 0x5e, 0xe5, 0x7c, 0xef, 0xb0, 0x08, 0xc4, 0xdd,
-  0x6a, 0x0a, 0x89, 0xee, 0x98, 0xa4, 0xee, 0x9c, 0x97, 0x1a, 0x07, 0xde,
-  0x61, 0xe5, 0xb0, 0xd3, 0xcf, 0x70, 0xe1, 0xcd, 0xc6, 0xa0, 0xde, 0x5b,
-  0x45, 0x1f, 0x2f, 0xb9, 0xdb, 0x99, 0x51, 0x96, 0x9f, 0x2f, 0x88, 0x4b,
-  0x4b, 0x09, 0x74, 0x9a, 0xe6, 0xc4, 0xdd, 0xbe, 0x7e, 0xe6, 0x1f, 0x79,
-  0x26, 0x5c, 0x6a, 0xdf, 0xb1, 0x6b, 0x30, 0x15
+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 e_1024[] = { /* key component e, 4 bytes */
-#if 1
-  /*
-   * Test Joachim's theory that it's just a known bug with short
-   * numbers: pad e out to same size as modulus, so an extra 124
-   * leading zeros.
-   */
+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,
@@ -56,209 +50,276 @@ static const uint8_t e_1024[] = { /* key component e, 4 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,
-#endif
-  0x00, 0x01, 0x00, 0x01
+  0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x01
 };
 
-static const uint8_t d_1024[] = { /* key component d, 128 bytes */
-  0x3f, 0xf2, 0x6c, 0x9e, 0x32, 0x68, 0x5b, 0x93, 0x66, 0x57, 0x02, 0x28,
-  0xf0, 0x60, 0x3c, 0x4e, 0x04, 0xa7, 0x17, 0xc1, 0x80, 0x38, 0xb1, 0x16,
-  0xeb, 0x48, 0x32, 0x5e, 0xca, 0xda, 0x99, 0x2a, 0x92, 0x0b, 0xb2, 0x41,
-  0x5a, 0xee, 0x4a, 0xfe, 0xe2, 0xa3, 0x7e, 0x87, 0xb3, 0x5b, 0x95, 0x19,
-  0xb3, 0x35, 0x77, 0x5d, 0x98, 0x95, 0x53, 0xe9, 0x13, 0x26, 0xf4, 0x6e,
-  0x2c, 0xdf, 0x6b, 0x7b, 0x84, 0xaa, 0xbf, 0xa9, 0xef, 0x24, 0xc6, 0x00,
-  0xb5, 0x68, 0x72, 0xad, 0x5e, 0xdb, 0x90, 0x41, 0xe8, 0xec, 0xd7, 0xf8,
-  0x53, 0x51, 0x33, 0xfb, 0xde, 0xfc, 0x92, 0xc7, 0x42, 0x38, 0x42, 0x26,
-  0x7d, 0x40, 0xe5, 0xf5, 0xc9, 0x1b, 0xd7, 0x45, 0x95, 0x78, 0xe4, 0x60,
-  0xfc, 0x85, 0x83, 0x74, 0x31, 0x72, 0xbe, 0xd3, 0x73, 0xb6, 0x95, 0x7c,
-  0xc0, 0xd6, 0xa6, 0x8e, 0x33, 0x15, 0x6a, 0x61
+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 p_1024[] = { /* key component p, 64 bytes */
-  0xd6, 0x91, 0x44, 0x30, 0xf6, 0xbf, 0xae, 0x10, 0x65, 0x8a, 0xed, 0x04,
-  0xd8, 0xd1, 0x32, 0x2a, 0xf2, 0x0a, 0x19, 0x7c, 0xf9, 0x7d, 0x21, 0xc5,
-  0xdd, 0xf7, 0x41, 0x75, 0xb8, 0x01, 0x1d, 0x40, 0x48, 0x29, 0x66, 0x2e,
-  0x59, 0x89, 0x87, 0x94, 0x64, 0x9a, 0xc6, 0x68, 0xa6, 0x4b, 0x87, 0x10,
-  0xc7, 0x6e, 0x26, 0x7d, 0xb2, 0xa9, 0x24, 0x2a, 0xf3, 0x07, 0x06, 0x9c,
-  0xa4, 0xe2, 0x53, 0xe7
+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 q_1024[] = { /* key component q, 64 bytes */
-  0xf8, 0xb6, 0xc6, 0xe5, 0x73, 0x1d, 0x03, 0xfc, 0xa6, 0x40, 0xf6, 0x2d,
-  0xe1, 0x88, 0xc5, 0x56, 0xbc, 0x68, 0x09, 0x9d, 0xac, 0x56, 0x21, 0x12,
-  0x63, 0x42, 0x2f, 0xba, 0x80, 0x85, 0x6a, 0x88, 0x19, 0x49, 0xaf, 0xfe,
-  0x05, 0xa8, 0x48, 0xb7, 0x99, 0x71, 0x14, 0x46, 0x42, 0xdd, 0x19, 0xba,
-  0xc1, 0x05, 0x37, 0x53, 0xb6, 0x9d, 0xa4, 0x29, 0xf4, 0xbd, 0xeb, 0x13,
-  0x8e, 0x79, 0x9c, 0xa3
+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 u_1024[] = { /* key component u, 64 bytes */
-  0x87, 0x5c, 0xc3, 0x4c, 0x33, 0xc7, 0x67, 0xfa, 0xc6, 0xf6, 0xcd, 0xf4,
-  0x33, 0x85, 0x07, 0x78, 0x7f, 0x56, 0x80, 0x30, 0xee, 0x4c, 0x34, 0x03,
-  0xa0, 0x5d, 0xa7, 0x34, 0x0d, 0xc9, 0x18, 0x8e, 0xd0, 0xd5, 0xe2, 0xb9,
-  0x0b, 0x53, 0x4c, 0xb5, 0x00, 0x5b, 0x10, 0x9f, 0xba, 0xbf, 0x2f, 0x65,
-  0x0a, 0x40, 0x58, 0x18, 0xb3, 0x83, 0xa0, 0x0c, 0x71, 0x01, 0xa4, 0x86,
-  0xbe, 0xcc, 0x1b, 0x7b
+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 m_1024[] = { /* message to be signed, 128 bytes */
-  0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+static const uint8_t m_1024[] = { /* message to be signed, 132 bytes */
+  0x00, 0x00, 0x00, 0x00, 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, 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, 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, 128 bytes */
-  0x06, 0x33, 0x9a, 0x64, 0x36, 0x7d, 0xb0, 0x2a, 0xf4, 0x11, 0x58, 0xcc,
-  0x95, 0xe7, 0x60, 0x49, 0x45, 0x19, 0xc1, 0x65, 0x11, 0x11, 0x84, 0xbe,
-  0xe4, 0x1d, 0x8e, 0xe2, 0x2a, 0xe5, 0xf5, 0xd1, 0x1d, 0xa7, 0xf9, 0x62,
-  0xac, 0x93, 0xac, 0x88, 0x91, 0x5e, 0xee, 0x13, 0xa3, 0x35, 0x0c, 0x22,
-  0xf0, 0xdf, 0xa6, 0x2e, 0xfd, 0xfc, 0x2b, 0x62, 0x29, 0xf2, 0x6e, 0x27,
-  0xbe, 0xbd, 0xc8, 0x4e, 0x47, 0x46, 0xdf, 0x79, 0x7b, 0x38, 0x7a, 0xd2,
-  0x13, 0x42, 0x3c, 0x9f, 0x98, 0xe8, 0xa1, 0x46, 0xff, 0x48, 0x6b, 0x6c,
-  0x1a, 0x85, 0x41, 0x4e, 0x73, 0x11, 0x71, 0x21, 0xb7, 0x00, 0xe5, 0x47,
-  0xab, 0x4e, 0x07, 0xb2, 0x21, 0xb9, 0x88, 0xb8, 0x24, 0xdd, 0x77, 0xc2,
-  0x04, 0x6b, 0x0a, 0x20, 0xcd, 0xdb, 0x98, 0x6a, 0xac, 0x75, 0xc2, 0xf2,
-  0xb0, 0x44, 0xed, 0x59, 0xea, 0x56, 0x58, 0x79
+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
 };
 
 /* 2048-bit RSA private key (PKCS #8)
 -----BEGIN PRIVATE KEY-----
-MIIEvAIBADANBgkqhkiG9w0BAQEFAASCBKYwggSiAgEAAoIBAQC5tGlpsGBD/vGf
-MiPLUUoggaENQ4tothWYpc+ve35q5AhUqzz04yZ0gnHey2rkg5qNfwiaukL8r6QD
-Mgq/7Wh6hWoT8LBUWIljN/9zzb407brHZBKRRKl/j3WXC2kJ31+SbE7BXWCDqMmZ
-4X2sphvQLI9muvN3HtgZxWVpzFfMX+I4eveeoVZcc5vYrUNqTS4aysq2TOzt4x56
-82d1spEGWEkbWgN1rlUlyCQE3Itdo1FPkPS7dVS799ajiQZRx1dHbojhDxT+0uTd
-Q9V14qehygOGQGBft87dU7t/BR0jatt8WlH+6EqXTfZ2ENywNjDZC1lr1USN8Ksm
-CIYBIcgjAgMBAAECggEADfVPjxAgzDuXcb3VDu03QyY7MsIG8oHtMaIU8D26DNLD
-BYoxdL62Hz/Gy1ZC3JY/wa7wuKCTdGbHTy4tvKtdlQf+Jy2KM2zMNtb4rn2idFwC
-FAajlqOwkdP4pLfI12MgzeKyMLqSDJNdQ+G9DoMVyBnxVWlr72I0IAvESaWAW+4g
-IsRjEYEfNxFHk5bM11zEw9487dUegDWNYOod6PQ8bHhElDcKLcAGI6QNJ7ob9GrC
-qMxWQpZTp14/DA6zaarm6x8ZfgpFFCSfWtVO4nPQxm3h6/4fUjA+4kd2UaStBd91
-SyUFg7PKT2mzZlAlOsPUrWIoZvT0M6JXDJ11lBRZoQKBgQDFCvJP0fKGyh4lvWUq
-+XXaPZiK7Q7+xaGFjbSVQUxrXWRJOQ8MIStgziEEqzIkjrbGR8LtoDaZ9qFcOoaS
-QSHj4cNNjKVsnQR9BIik5872P/6qr+SNh0K+MQ18wO/7JzF3DugaiI3ebqMfc5aE
-jsdDmbGinrhhVKJNkf2HUm4qewKBgQDxRP8nVmQlT5RqG8ggBRPQJCJOIDxamYvU
-qsBJDe8rjDrvVSoZ5ojH381UlANjqa1K7GrQzXf8rv8LY2j2zNy3KedGtCb5o+0y
-jfcSohnC71L33pFIl2oYi4QOqmLyqjEe3IoxMDsi7HyLjL1N5be2aKyq/45ukxSk
-7yufFUrceQKBgCPbSBkKZY3tveq0OnLFjpK2Xsn5NZ9bK3d4QAJhLZzkE9nXTkuw
-xYoKOKv201sftVcDvA8t9oGyBc8Yv2BiBd7IOJgmHfxT3ns5lfwcSuc44gkBlR/E
-G3ssxf2Lxp/3k+LMjaQ2cUqm63xPtnZM3SoKD+893uOnWRmwlWhIsc99AoGAeyl8
-kukwADfqjGwYMfhFj/gSJw2foaRGVE7CD8j0MafJIgm4jzY21slxeN6CCGtCkj+z
-m1l4Cd6PRZH+sBYOCdZzQI2QY9mBqU/9M17ahb9D/FJ6mbLprxPxWscx8axdnOJ6
-DPgRCBfu0BINROmiaZRvqG8Cl4GvhS6uduwYpgkCgYB4D8aOcb39bdAeycSc25Ds
-JEH6k8yf64JbLUr9Yh+4vmix12Mg6E7hjQWy5XF64wDCHPcuBmY5kYfnMU4XJ9P4
-SGeS4wajJua2pMDdZiANd4KwAEl/hBoFLTRBsL5qjJ8T33Agu38uCaTBczBp5fS5
-G3nOVVHOuTBEMDUuwZQPmA==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 -----END PRIVATE KEY-----
 */
 
-static const uint8_t n_2048[] = { /* key component n, 256 bytes */
-  0xb9, 0xb4, 0x69, 0x69, 0xb0, 0x60, 0x43, 0xfe, 0xf1, 0x9f, 0x32, 0x23,
-  0xcb, 0x51, 0x4a, 0x20, 0x81, 0xa1, 0x0d, 0x43, 0x8b, 0x68, 0xb6, 0x15,
-  0x98, 0xa5, 0xcf, 0xaf, 0x7b, 0x7e, 0x6a, 0xe4, 0x08, 0x54, 0xab, 0x3c,
-  0xf4, 0xe3, 0x26, 0x74, 0x82, 0x71, 0xde, 0xcb, 0x6a, 0xe4, 0x83, 0x9a,
-  0x8d, 0x7f, 0x08, 0x9a, 0xba, 0x42, 0xfc, 0xaf, 0xa4, 0x03, 0x32, 0x0a,
-  0xbf, 0xed, 0x68, 0x7a, 0x85, 0x6a, 0x13, 0xf0, 0xb0, 0x54, 0x58, 0x89,
-  0x63, 0x37, 0xff, 0x73, 0xcd, 0xbe, 0x34, 0xed, 0xba, 0xc7, 0x64, 0x12,
-  0x91, 0x44, 0xa9, 0x7f, 0x8f, 0x75, 0x97, 0x0b, 0x69, 0x09, 0xdf, 0x5f,
-  0x92, 0x6c, 0x4e, 0xc1, 0x5d, 0x60, 0x83, 0xa8, 0xc9, 0x99, 0xe1, 0x7d,
-  0xac, 0xa6, 0x1b, 0xd0, 0x2c, 0x8f, 0x66, 0xba, 0xf3, 0x77, 0x1e, 0xd8,
-  0x19, 0xc5, 0x65, 0x69, 0xcc, 0x57, 0xcc, 0x5f, 0xe2, 0x38, 0x7a, 0xf7,
-  0x9e, 0xa1, 0x56, 0x5c, 0x73, 0x9b, 0xd8, 0xad, 0x43, 0x6a, 0x4d, 0x2e,
-  0x1a, 0xca, 0xca, 0xb6, 0x4c, 0xec, 0xed, 0xe3, 0x1e, 0x7a, 0xf3, 0x67,
-  0x75, 0xb2, 0x91, 0x06, 0x58, 0x49, 0x1b, 0x5a, 0x03, 0x75, 0xae, 0x55,
-  0x25, 0xc8, 0x24, 0x04, 0xdc, 0x8b, 0x5d, 0xa3, 0x51, 0x4f, 0x90, 0xf4,
-  0xbb, 0x75, 0x54, 0xbb, 0xf7, 0xd6, 0xa3, 0x89, 0x06, 0x51, 0xc7, 0x57,
-  0x47, 0x6e, 0x88, 0xe1, 0x0f, 0x14, 0xfe, 0xd2, 0xe4, 0xdd, 0x43, 0xd5,
-  0x75, 0xe2, 0xa7, 0xa1, 0xca, 0x03, 0x86, 0x40, 0x60, 0x5f, 0xb7, 0xce,
-  0xdd, 0x53, 0xbb, 0x7f, 0x05, 0x1d, 0x23, 0x6a, 0xdb, 0x7c, 0x5a, 0x51,
-  0xfe, 0xe8, 0x4a, 0x97, 0x4d, 0xf6, 0x76, 0x10, 0xdc, 0xb0, 0x36, 0x30,
-  0xd9, 0x0b, 0x59, 0x6b, 0xd5, 0x44, 0x8d, 0xf0, 0xab, 0x26, 0x08, 0x86,
-  0x01, 0x21, 0xc8, 0x23
+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 e_2048[] = { /* key component e, 4 bytes */
-  0x00, 0x01, 0x00, 0x01
+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 d_2048[] = { /* key component d, 256 bytes */
-  0x0d, 0xf5, 0x4f, 0x8f, 0x10, 0x20, 0xcc, 0x3b, 0x97, 0x71, 0xbd, 0xd5,
-  0x0e, 0xed, 0x37, 0x43, 0x26, 0x3b, 0x32, 0xc2, 0x06, 0xf2, 0x81, 0xed,
-  0x31, 0xa2, 0x14, 0xf0, 0x3d, 0xba, 0x0c, 0xd2, 0xc3, 0x05, 0x8a, 0x31,
-  0x74, 0xbe, 0xb6, 0x1f, 0x3f, 0xc6, 0xcb, 0x56, 0x42, 0xdc, 0x96, 0x3f,
-  0xc1, 0xae, 0xf0, 0xb8, 0xa0, 0x93, 0x74, 0x66, 0xc7, 0x4f, 0x2e, 0x2d,
-  0xbc, 0xab, 0x5d, 0x95, 0x07, 0xfe, 0x27, 0x2d, 0x8a, 0x33, 0x6c, 0xcc,
-  0x36, 0xd6, 0xf8, 0xae, 0x7d, 0xa2, 0x74, 0x5c, 0x02, 0x14, 0x06, 0xa3,
-  0x96, 0xa3, 0xb0, 0x91, 0xd3, 0xf8, 0xa4, 0xb7, 0xc8, 0xd7, 0x63, 0x20,
-  0xcd, 0xe2, 0xb2, 0x30, 0xba, 0x92, 0x0c, 0x93, 0x5d, 0x43, 0xe1, 0xbd,
-  0x0e, 0x83, 0x15, 0xc8, 0x19, 0xf1, 0x55, 0x69, 0x6b, 0xef, 0x62, 0x34,
-  0x20, 0x0b, 0xc4, 0x49, 0xa5, 0x80, 0x5b, 0xee, 0x20, 0x22, 0xc4, 0x63,
-  0x11, 0x81, 0x1f, 0x37, 0x11, 0x47, 0x93, 0x96, 0xcc, 0xd7, 0x5c, 0xc4,
-  0xc3, 0xde, 0x3c, 0xed, 0xd5, 0x1e, 0x80, 0x35, 0x8d, 0x60, 0xea, 0x1d,
-  0xe8, 0xf4, 0x3c, 0x6c, 0x78, 0x44, 0x94, 0x37, 0x0a, 0x2d, 0xc0, 0x06,
-  0x23, 0xa4, 0x0d, 0x27, 0xba, 0x1b, 0xf4, 0x6a, 0xc2, 0xa8, 0xcc, 0x56,
-  0x42, 0x96, 0x53, 0xa7, 0x5e, 0x3f, 0x0c, 0x0e, 0xb3, 0x69, 0xaa, 0xe6,
-  0xeb, 0x1f, 0x19, 0x7e, 0x0a, 0x45, 0x14, 0x24, 0x9f, 0x5a, 0xd5, 0x4e,
-  0xe2, 0x73, 0xd0, 0xc6, 0x6d, 0xe1, 0xeb, 0xfe, 0x1f, 0x52, 0x30, 0x3e,
-  0xe2, 0x47, 0x76, 0x51, 0xa4, 0xad, 0x05, 0xdf, 0x75, 0x4b, 0x25, 0x05,
-  0x83, 0xb3, 0xca, 0x4f, 0x69, 0xb3, 0x66, 0x50, 0x25, 0x3a, 0xc3, 0xd4,
-  0xad, 0x62, 0x28, 0x66, 0xf4, 0xf4, 0x33, 0xa2, 0x57, 0x0c, 0x9d, 0x75,
-  0x94, 0x14, 0x59, 0xa1
+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 p_2048[] = { /* key component p, 128 bytes */
-  0xc5, 0x0a, 0xf2, 0x4f, 0xd1, 0xf2, 0x86, 0xca, 0x1e, 0x25, 0xbd, 0x65,
-  0x2a, 0xf9, 0x75, 0xda, 0x3d, 0x98, 0x8a, 0xed, 0x0e, 0xfe, 0xc5, 0xa1,
-  0x85, 0x8d, 0xb4, 0x95, 0x41, 0x4c, 0x6b, 0x5d, 0x64, 0x49, 0x39, 0x0f,
-  0x0c, 0x21, 0x2b, 0x60, 0xce, 0x21, 0x04, 0xab, 0x32, 0x24, 0x8e, 0xb6,
-  0xc6, 0x47, 0xc2, 0xed, 0xa0, 0x36, 0x99, 0xf6, 0xa1, 0x5c, 0x3a, 0x86,
-  0x92, 0x41, 0x21, 0xe3, 0xe1, 0xc3, 0x4d, 0x8c, 0xa5, 0x6c, 0x9d, 0x04,
-  0x7d, 0x04, 0x88, 0xa4, 0xe7, 0xce, 0xf6, 0x3f, 0xfe, 0xaa, 0xaf, 0xe4,
-  0x8d, 0x87, 0x42, 0xbe, 0x31, 0x0d, 0x7c, 0xc0, 0xef, 0xfb, 0x27, 0x31,
-  0x77, 0x0e, 0xe8, 0x1a, 0x88, 0x8d, 0xde, 0x6e, 0xa3, 0x1f, 0x73, 0x96,
-  0x84, 0x8e, 0xc7, 0x43, 0x99, 0xb1, 0xa2, 0x9e, 0xb8, 0x61, 0x54, 0xa2,
-  0x4d, 0x91, 0xfd, 0x87, 0x52, 0x6e, 0x2a, 0x7b
+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 q_2048[] = { /* key component q, 128 bytes */
-  0xf1, 0x44, 0xff, 0x27, 0x56, 0x64, 0x25, 0x4f, 0x94, 0x6a, 0x1b, 0xc8,
-  0x20, 0x05, 0x13, 0xd0, 0x24, 0x22, 0x4e, 0x20, 0x3c, 0x5a, 0x99, 0x8b,
-  0xd4, 0xaa, 0xc0, 0x49, 0x0d, 0xef, 0x2b, 0x8c, 0x3a, 0xef, 0x55, 0x2a,
-  0x19, 0xe6, 0x88, 0xc7, 0xdf, 0xcd, 0x54, 0x94, 0x03, 0x63, 0xa9, 0xad,
-  0x4a, 0xec, 0x6a, 0xd0, 0xcd, 0x77, 0xfc, 0xae, 0xff, 0x0b, 0x63, 0x68,
-  0xf6, 0xcc, 0xdc, 0xb7, 0x29, 0xe7, 0x46, 0xb4, 0x26, 0xf9, 0xa3, 0xed,
-  0x32, 0x8d, 0xf7, 0x12, 0xa2, 0x19, 0xc2, 0xef, 0x52, 0xf7, 0xde, 0x91,
-  0x48, 0x97, 0x6a, 0x18, 0x8b, 0x84, 0x0e, 0xaa, 0x62, 0xf2, 0xaa, 0x31,
-  0x1e, 0xdc, 0x8a, 0x31, 0x30, 0x3b, 0x22, 0xec, 0x7c, 0x8b, 0x8c, 0xbd,
-  0x4d, 0xe5, 0xb7, 0xb6, 0x68, 0xac, 0xaa, 0xff, 0x8e, 0x6e, 0x93, 0x14,
-  0xa4, 0xef, 0x2b, 0x9f, 0x15, 0x4a, 0xdc, 0x79
+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 u_2048[] = { /* key component u, 128 bytes */
-  0x5e, 0x42, 0x7f, 0x1d, 0x33, 0x81, 0x1e, 0xa4, 0x18, 0xdf, 0x86, 0xba,
-  0xb0, 0x1b, 0x77, 0x56, 0xf4, 0x65, 0x91, 0x31, 0xd8, 0xac, 0xbc, 0x63,
-  0x55, 0x55, 0x11, 0x5c, 0xc5, 0x31, 0x61, 0x08, 0xe0, 0xb3, 0x5c, 0xce,
-  0x9e, 0x82, 0xbb, 0xc4, 0x7d, 0xd3, 0xc3, 0xc0, 0x95, 0x0b, 0xc0, 0xbf,
-  0x7c, 0xaf, 0xcd, 0xa2, 0x1f, 0xbb, 0x8f, 0x7f, 0xce, 0xde, 0x42, 0x59,
-  0xd5, 0x71, 0x49, 0xa2, 0x91, 0xe2, 0x24, 0xc2, 0xf7, 0x7f, 0xd2, 0xae,
-  0x10, 0xbd, 0x34, 0xb6, 0xc4, 0xec, 0xa2, 0x17, 0xc8, 0x4f, 0x76, 0xf6,
-  0x1d, 0x90, 0x72, 0x58, 0x55, 0x18, 0xbe, 0x44, 0xd4, 0xf1, 0x85, 0xf5,
-  0x90, 0x65, 0x45, 0x4f, 0xf1, 0x3b, 0x65, 0xe7, 0x79, 0x3b, 0xe5, 0x4e,
-  0x56, 0x28, 0x4b, 0x62, 0x4d, 0x8e, 0x1d, 0x25, 0x26, 0x37, 0x1a, 0xb5,
-  0x5c, 0xd5, 0x14, 0x67, 0x73, 0x74, 0x70, 0x24
+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 m_2048[] = { /* message to be signed, 256 bytes */
-  0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+static const uint8_t m_2048[] = { /* message to be signed, 260 bytes */
+  0x00, 0x00, 0x00, 0x00, 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,
@@ -275,266 +336,371 @@ static const uint8_t m_2048[] = { /* message to be signed, 256 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,
-  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_2048[] = { /* signed message, 256 bytes */
-  0xa4, 0xcf, 0x2b, 0x55, 0x74, 0x6e, 0x9a, 0x97, 0x4e, 0x50, 0x7a, 0x8c,
-  0xbb, 0x32, 0x3d, 0x42, 0x4a, 0x14, 0x0d, 0x50, 0x29, 0xc8, 0x76, 0x2c,
-  0xd9, 0x25, 0x16, 0x62, 0xee, 0xc7, 0xd7, 0xf9, 0x7f, 0xc5, 0x0c, 0x4b,
-  0xa4, 0x6e, 0xd3, 0xe5, 0x0d, 0x01, 0x7c, 0xd7, 0x9e, 0xe2, 0x9f, 0xa0,
-  0xf0, 0x51, 0x57, 0x4f, 0x9b, 0xf2, 0x89, 0x03, 0x04, 0xe7, 0xda, 0x19,
-  0x05, 0xe7, 0xcb, 0xea, 0xaf, 0x84, 0xae, 0x21, 0x44, 0x6f, 0x85, 0xc4,
-  0x71, 0x9b, 0x35, 0xed, 0xd8, 0x55, 0xd7, 0x25, 0xaa, 0xdb, 0xd8, 0x0f,
-  0x24, 0xac, 0x3e, 0x3d, 0xcd, 0xa5, 0x72, 0xd9, 0x96, 0x75, 0x4b, 0x93,
-  0xc4, 0x37, 0xef, 0x25, 0xe4, 0xa0, 0xda, 0x66, 0x51, 0x5e, 0xc2, 0xa9,
-  0xcb, 0x4b, 0xde, 0xca, 0x70, 0x68, 0xd0, 0x9a, 0x76, 0x79, 0x86, 0x5f,
-  0xab, 0xc0, 0x5d, 0x35, 0x10, 0x59, 0xa5, 0x4b, 0x17, 0x56, 0x68, 0xe2,
-  0x24, 0x53, 0x3c, 0x73, 0x0f, 0x9d, 0x74, 0xeb, 0xb8, 0x9e, 0xb3, 0x18,
-  0x8c, 0x20, 0x32, 0xf6, 0x28, 0x98, 0xe8, 0x6e, 0x95, 0xf5, 0x62, 0x2f,
-  0x72, 0x13, 0x38, 0xe6, 0xd7, 0xaa, 0x46, 0x69, 0x07, 0xe8, 0x1e, 0x14,
-  0xe3, 0x45, 0x03, 0x34, 0xa7, 0xde, 0xaf, 0xca, 0x42, 0x08, 0x22, 0xea,
-  0x27, 0xe8, 0xaa, 0x49, 0xaf, 0x2f, 0xbe, 0xa6, 0x1f, 0xdc, 0x28, 0x7f,
-  0x75, 0x3c, 0xfc, 0xe0, 0x80, 0x63, 0xf0, 0xd2, 0xd2, 0x93, 0x6b, 0x91,
-  0xe1, 0x3b, 0x97, 0x50, 0xf4, 0x0f, 0xce, 0x73, 0xa2, 0x01, 0x7d, 0x97,
-  0x84, 0x97, 0x61, 0xf5, 0x50, 0x66, 0x23, 0x1b, 0x94, 0x91, 0x67, 0x21,
-  0xdc, 0x1a, 0xe0, 0x2a, 0x83, 0x91, 0x29, 0x64, 0x73, 0xb7, 0x2a, 0x0c,
-  0x44, 0x48, 0x11, 0x36, 0x5f, 0xb3, 0x73, 0x1d, 0x43, 0xb6, 0xc3, 0x5e,
-  0x9c, 0x63, 0x3c, 0x93
+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
 };
 
 /* 4096-bit RSA private key (PKCS #8)
 -----BEGIN PRIVATE KEY-----
-MIIJQgIBADANBgkqhkiG9w0BAQEFAASCCSwwggkoAgEAAoICAQCXoePh4q52ADM2
-D4knAEIxB5z5sNsiYCqrCtPNR3kTzQ0vnqgy+k7LQeXj/k7fWnsig26XRt8hp4EV
-O3rSZa4a/1k2J+duYIFTe2DrBCWNBD9CDuIQOq0P8Im0OdYJS4mKnXvN8bYet71f
-y7yZQzU9CkjR4cAaOK/OTZVQQKMkjMoGamba6nxPDVpl913foQTc0fH7dtXOhB/L
-/MKvroaLbwVz/mzS4ujsmzYM/rl+HW4UqA4gslLZ/VFwTs30h3Tg02rL7ugEZC80
-3nFhrMZ8ZTFv2NxKSUOn7Bnzcyp3eOPJCsTqbjYQjlBNrepwb8P/aHALCps4e0MN
-wZmsZMS4U7XFKId0iA7MBpjS9biGt3PAI08yO3Tv3hTH6xiUm8PL7wD0my8HEvxd
-aZ9FmDxq7mD77oysmLpAJaSAOfeDI7wZHhe1DZDDpKzldtN/dWxUJ3f5dZaihEUk
-skAxQmMWjJnfkK5vpgRiH983ydKdaKN/YzzOOVPEZlC6R1BxR8++9EoC99KyJJjo
-lJm0Oz/JT1JGShKZYV39r7pWej6FygasivKFNuMQMo/nKwfH6d9G/APxzpd5hz/R
-84o4OC/Bt5mRw6nIeG++9Z2RUxtSxaSFmxgS0TXw5l4ElUgisT6vom2pouu42aUk
-AjBNWWmn7fzjYLjG+StSHZYVHcTJwwIDAQABAoICACePOu7RvwZWIwY1o2ijbqFw
-BQo3k9QyFq+tEXj67qG123zS/brfBvOMa7fBvz4SUxG8DHw3JzuWgdzSOcbudC/i
-8ploa76mOtdW1wA5grp5oy9OxrfJNyFzddmpRSgDpwyc7ZHbP9JfyW5WrwulNxyH
-tFvdc8rjgypln1DirC169bIazF7M0kWljDISCVGwpp4dv+4FIN7SJaGIfhprg/qY
-qmmKtUWHoZEpJT7arfYzI2cMOTNakrcAmeCdDqp/NIT7Y191It8SbCZ06ku7UcVe
-eTle8IoI9ze2J0cWgrvMtFDdGGa4/i3vkw/REdrnrdDSpHic+cYQknviSH9rgs7V
-VbSLsnV0U4mt2SR36mHyIVSnQTNtqKNb0bfY6JYfRmUBS4saUHKWT2xg5ZF0XMiX
-jUlpC7+m1MzgHxowMjqf4b5cde6us8wz25nKa++/ma9HeCU9+L5J2zQ2AAzsuHwE
-FJvqX4Kvg/huhaV18WBoIcM6yh69B00tgyScqdxNr5V/7x0eUOoI79X5sp657Zce
-/RtWzWegV1RfHUMr3mvHKemdCoTUJbTzs9scmNyRSRbsyPqhsgO25Xq0VrX1cEt1
-aLlu6mbJ4iXCTeMUzMH5oOCOcaC/U7svYDd2yvtVV2W92u/0ZbLpPBejVU9ej9Xv
-zh5kko9L3nyLiWKxYOKBAoIBAQC9ZzWJDN0trvr0w6yg5wHgO7U8f+DhgBiWzg1f
-r4MUnNpQ3Yb0XyLRXdzCNkmKiMkN9McBAy7KbNhf0lyb+6UNPyawBAc69RLVWNXk
-RkIdaQltBX83SgAECKukLvYY4AYQiaSDHW5uX3tAP5rPZHrGQ7l22rckVeTUXrXT
-9+CuhX2DKbOTG5qOXnlbwjsyX0wGhKqcE2+2rfMegdhKfeojVKVncEtY5iQUMSlS
-xtlxh/tSjzTJDaEQOL7N+Az0XiAgpMf77pI/651vIdn7U3ntmlGwq+09eZmJOccz
-TH5X+lWCVIrooeiBt02a3jVHXr2urpbC2z053n782Mw/6otjAoIBAQDM8s+vL1oi
-NmcSzvnv3GvE35prWUOnVVaoXzLiXUEz1luJtSowBuMbaL2tVwrRROGf5Jntbg0k
-3d1StmfIUeMlmtQXtgYXUyZ4Ek6L6HMaH/765cFUwiKYxM/B+RyL+uSyUH4lJEnZ
-P2OWUSCnFKeB+JeXFFwl4U18cKcsuoAixPPcj0zyS3bncOu14hjQKAMo8DCRVAVB
-5U2Eh4siwyibzNEp2uUsMkSVx1t382qXCi8YpLBnmUatzyS6KrwEVOWRvjc8EfeK
-pC1vyk0WcWoC99+pHA5TURm4bEZhjpw6j/oaVqjvFitFxHC/tEXyu2dNlru7d3zG
-T3vOz5PeEYYhAoIBAQCYae94w/NQidjFEpleOccWrLWhY76ReEVRRasZbuFquvYr
-0LiC+fPIy2GUn576bixsoKdrtyX2GzTblyqTEyO0zzbQuc0fsotfR8eHlMorZJUD
-OEMxOMledaO50ViUl+IJeNn78Lkm9Ir4HrbzYYYy+djLPiHWiZBFHZnwYy5ZAm8I
-F4y8OqBbJMdAAcMlO+6v6B5qznE9bimQSSjGeSDrIXihDopzlW8/GHiKdh4Q8D5c
-J4VwrRkJNsDEenHiS8RKwI91unvSGEZuYa1KQ9iATYijRRb6O1pERUx5iXq6TWZ2
-JJZLsc6qY9l9YIc7UZAOe8wyLb7NTLCfw85JOPLFAoIBAC0ELGADW53mKy+zbKyl
-0roUjzuDCNwpX3ZuKqQT7a1wKP0PYOvZp2quz/LSCps6sQBI2xKOuK5fWSzAyfzz
-F5x77JgksCPRbMK06rHKZfXYD06WxqdSWP0LRcMKb53DhxYvnfWUifAA/2PWAAET
-BVQEAW/61d6wJS/vIpktgdWhQxswEquprb1aTTvPJLob/82vLEvPk7QMpME2cHY7
-PaEzFMJHxUy24d+wQUQQoFn6r6uPCPxIa4Dj3eJSXqfo6d/gUwuLur6mHyDN467J
-TIrIXUUs12yvhKHAjpkBFQm79Chy3npdeTXC1y0UcMTHKwKc2DFuJmb8sGoVqBn/
-6WECggEAb5ivKyaQQG+eYu4+9hFEIWAe71Yi28/NLaOHfyjaeTciBDLm/XlHX6hE
-7K3PgGV8FTulY1rcIRvGL2cI6+s9Ig2yXGgeREDgJBXNt+/tU5BEZMcmQhdp6RRj
-f8zX7LVIhMUrY05J4UIJ4tVjQk6+raLp+4xF0BqGvj7tNkiqNGp++WQ5W296YJJ1
-O7NGnUuOrOlujwGpZb/eolN2CxuG/u9+Qw7H8q6XSY9Qy/sIsG6exNep3uirV6T8
-aXl0oxF0s/y8GOFthFRCxb0zl53We84fV6wC6TP4JjnwH0g8de/d/LYL3UWdnVp3
-kGtZAf6sJuZ46gk9R0vQHX5WXHQUIw==
+MIIJQQIBADANBgkqhkiG9w0BAQEFAASCCSswggknAgEAAoICAQC/2rbgLB4maN9c
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+JMuZMl1P3iYz+xSpeW8iUsTbd7rwz+5vKduPN585W9Ncsr2MhnU5bp8cQgt0qhPv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 -----END PRIVATE KEY-----
 */
 
-static const uint8_t n_4096[] = { /* key component n, 512 bytes */
-  0x97, 0xa1, 0xe3, 0xe1, 0xe2, 0xae, 0x76, 0x00, 0x33, 0x36, 0x0f, 0x89,
-  0x27, 0x00, 0x42, 0x31, 0x07, 0x9c, 0xf9, 0xb0, 0xdb, 0x22, 0x60, 0x2a,
-  0xab, 0x0a, 0xd3, 0xcd, 0x47, 0x79, 0x13, 0xcd, 0x0d, 0x2f, 0x9e, 0xa8,
-  0x32, 0xfa, 0x4e, 0xcb, 0x41, 0xe5, 0xe3, 0xfe, 0x4e, 0xdf, 0x5a, 0x7b,
-  0x22, 0x83, 0x6e, 0x97, 0x46, 0xdf, 0x21, 0xa7, 0x81, 0x15, 0x3b, 0x7a,
-  0xd2, 0x65, 0xae, 0x1a, 0xff, 0x59, 0x36, 0x27, 0xe7, 0x6e, 0x60, 0x81,
-  0x53, 0x7b, 0x60, 0xeb, 0x04, 0x25, 0x8d, 0x04, 0x3f, 0x42, 0x0e, 0xe2,
-  0x10, 0x3a, 0xad, 0x0f, 0xf0, 0x89, 0xb4, 0x39, 0xd6, 0x09, 0x4b, 0x89,
-  0x8a, 0x9d, 0x7b, 0xcd, 0xf1, 0xb6, 0x1e, 0xb7, 0xbd, 0x5f, 0xcb, 0xbc,
-  0x99, 0x43, 0x35, 0x3d, 0x0a, 0x48, 0xd1, 0xe1, 0xc0, 0x1a, 0x38, 0xaf,
-  0xce, 0x4d, 0x95, 0x50, 0x40, 0xa3, 0x24, 0x8c, 0xca, 0x06, 0x6a, 0x66,
-  0xda, 0xea, 0x7c, 0x4f, 0x0d, 0x5a, 0x65, 0xf7, 0x5d, 0xdf, 0xa1, 0x04,
-  0xdc, 0xd1, 0xf1, 0xfb, 0x76, 0xd5, 0xce, 0x84, 0x1f, 0xcb, 0xfc, 0xc2,
-  0xaf, 0xae, 0x86, 0x8b, 0x6f, 0x05, 0x73, 0xfe, 0x6c, 0xd2, 0xe2, 0xe8,
-  0xec, 0x9b, 0x36, 0x0c, 0xfe, 0xb9, 0x7e, 0x1d, 0x6e, 0x14, 0xa8, 0x0e,
-  0x20, 0xb2, 0x52, 0xd9, 0xfd, 0x51, 0x70, 0x4e, 0xcd, 0xf4, 0x87, 0x74,
-  0xe0, 0xd3, 0x6a, 0xcb, 0xee, 0xe8, 0x04, 0x64, 0x2f, 0x34, 0xde, 0x71,
-  0x61, 0xac, 0xc6, 0x7c, 0x65, 0x31, 0x6f, 0xd8, 0xdc, 0x4a, 0x49, 0x43,
-  0xa7, 0xec, 0x19, 0xf3, 0x73, 0x2a, 0x77, 0x78, 0xe3, 0xc9, 0x0a, 0xc4,
-  0xea, 0x6e, 0x36, 0x10, 0x8e, 0x50, 0x4d, 0xad, 0xea, 0x70, 0x6f, 0xc3,
-  0xff, 0x68, 0x70, 0x0b, 0x0a, 0x9b, 0x38, 0x7b, 0x43, 0x0d, 0xc1, 0x99,
-  0xac, 0x64, 0xc4, 0xb8, 0x53, 0xb5, 0xc5, 0x28, 0x87, 0x74, 0x88, 0x0e,
-  0xcc, 0x06, 0x98, 0xd2, 0xf5, 0xb8, 0x86, 0xb7, 0x73, 0xc0, 0x23, 0x4f,
-  0x32, 0x3b, 0x74, 0xef, 0xde, 0x14, 0xc7, 0xeb, 0x18, 0x94, 0x9b, 0xc3,
-  0xcb, 0xef, 0x00, 0xf4, 0x9b, 0x2f, 0x07, 0x12, 0xfc, 0x5d, 0x69, 0x9f,
-  0x45, 0x98, 0x3c, 0x6a, 0xee, 0x60, 0xfb, 0xee, 0x8c, 0xac, 0x98, 0xba,
-  0x40, 0x25, 0xa4, 0x80, 0x39, 0xf7, 0x83, 0x23, 0xbc, 0x19, 0x1e, 0x17,
-  0xb5, 0x0d, 0x90, 0xc3, 0xa4, 0xac, 0xe5, 0x76, 0xd3, 0x7f, 0x75, 0x6c,
-  0x54, 0x27, 0x77, 0xf9, 0x75, 0x96, 0xa2, 0x84, 0x45, 0x24, 0xb2, 0x40,
-  0x31, 0x42, 0x63, 0x16, 0x8c, 0x99, 0xdf, 0x90, 0xae, 0x6f, 0xa6, 0x04,
-  0x62, 0x1f, 0xdf, 0x37, 0xc9, 0xd2, 0x9d, 0x68, 0xa3, 0x7f, 0x63, 0x3c,
-  0xce, 0x39, 0x53, 0xc4, 0x66, 0x50, 0xba, 0x47, 0x50, 0x71, 0x47, 0xcf,
-  0xbe, 0xf4, 0x4a, 0x02, 0xf7, 0xd2, 0xb2, 0x24, 0x98, 0xe8, 0x94, 0x99,
-  0xb4, 0x3b, 0x3f, 0xc9, 0x4f, 0x52, 0x46, 0x4a, 0x12, 0x99, 0x61, 0x5d,
-  0xfd, 0xaf, 0xba, 0x56, 0x7a, 0x3e, 0x85, 0xca, 0x06, 0xac, 0x8a, 0xf2,
-  0x85, 0x36, 0xe3, 0x10, 0x32, 0x8f, 0xe7, 0x2b, 0x07, 0xc7, 0xe9, 0xdf,
-  0x46, 0xfc, 0x03, 0xf1, 0xce, 0x97, 0x79, 0x87, 0x3f, 0xd1, 0xf3, 0x8a,
-  0x38, 0x38, 0x2f, 0xc1, 0xb7, 0x99, 0x91, 0xc3, 0xa9, 0xc8, 0x78, 0x6f,
-  0xbe, 0xf5, 0x9d, 0x91, 0x53, 0x1b, 0x52, 0xc5, 0xa4, 0x85, 0x9b, 0x18,
-  0x12, 0xd1, 0x35, 0xf0, 0xe6, 0x5e, 0x04, 0x95, 0x48, 0x22, 0xb1, 0x3e,
-  0xaf, 0xa2, 0x6d, 0xa9, 0xa2, 0xeb, 0xb8, 0xd9, 0xa5, 0x24, 0x02, 0x30,
-  0x4d, 0x59, 0x69, 0xa7, 0xed, 0xfc, 0xe3, 0x60, 0xb8, 0xc6, 0xf9, 0x2b,
-  0x52, 0x1d, 0x96, 0x15, 0x1d, 0xc4, 0xc9, 0xc3
+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 e_4096[] = { /* key component e, 4 bytes */
-  0x00, 0x01, 0x00, 0x01
+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 d_4096[] = { /* key component d, 512 bytes */
-  0x27, 0x8f, 0x3a, 0xee, 0xd1, 0xbf, 0x06, 0x56, 0x23, 0x06, 0x35, 0xa3,
-  0x68, 0xa3, 0x6e, 0xa1, 0x70, 0x05, 0x0a, 0x37, 0x93, 0xd4, 0x32, 0x16,
-  0xaf, 0xad, 0x11, 0x78, 0xfa, 0xee, 0xa1, 0xb5, 0xdb, 0x7c, 0xd2, 0xfd,
-  0xba, 0xdf, 0x06, 0xf3, 0x8c, 0x6b, 0xb7, 0xc1, 0xbf, 0x3e, 0x12, 0x53,
-  0x11, 0xbc, 0x0c, 0x7c, 0x37, 0x27, 0x3b, 0x96, 0x81, 0xdc, 0xd2, 0x39,
-  0xc6, 0xee, 0x74, 0x2f, 0xe2, 0xf2, 0x99, 0x68, 0x6b, 0xbe, 0xa6, 0x3a,
-  0xd7, 0x56, 0xd7, 0x00, 0x39, 0x82, 0xba, 0x79, 0xa3, 0x2f, 0x4e, 0xc6,
-  0xb7, 0xc9, 0x37, 0x21, 0x73, 0x75, 0xd9, 0xa9, 0x45, 0x28, 0x03, 0xa7,
-  0x0c, 0x9c, 0xed, 0x91, 0xdb, 0x3f, 0xd2, 0x5f, 0xc9, 0x6e, 0x56, 0xaf,
-  0x0b, 0xa5, 0x37, 0x1c, 0x87, 0xb4, 0x5b, 0xdd, 0x73, 0xca, 0xe3, 0x83,
-  0x2a, 0x65, 0x9f, 0x50, 0xe2, 0xac, 0x2d, 0x7a, 0xf5, 0xb2, 0x1a, 0xcc,
-  0x5e, 0xcc, 0xd2, 0x45, 0xa5, 0x8c, 0x32, 0x12, 0x09, 0x51, 0xb0, 0xa6,
-  0x9e, 0x1d, 0xbf, 0xee, 0x05, 0x20, 0xde, 0xd2, 0x25, 0xa1, 0x88, 0x7e,
-  0x1a, 0x6b, 0x83, 0xfa, 0x98, 0xaa, 0x69, 0x8a, 0xb5, 0x45, 0x87, 0xa1,
-  0x91, 0x29, 0x25, 0x3e, 0xda, 0xad, 0xf6, 0x33, 0x23, 0x67, 0x0c, 0x39,
-  0x33, 0x5a, 0x92, 0xb7, 0x00, 0x99, 0xe0, 0x9d, 0x0e, 0xaa, 0x7f, 0x34,
-  0x84, 0xfb, 0x63, 0x5f, 0x75, 0x22, 0xdf, 0x12, 0x6c, 0x26, 0x74, 0xea,
-  0x4b, 0xbb, 0x51, 0xc5, 0x5e, 0x79, 0x39, 0x5e, 0xf0, 0x8a, 0x08, 0xf7,
-  0x37, 0xb6, 0x27, 0x47, 0x16, 0x82, 0xbb, 0xcc, 0xb4, 0x50, 0xdd, 0x18,
-  0x66, 0xb8, 0xfe, 0x2d, 0xef, 0x93, 0x0f, 0xd1, 0x11, 0xda, 0xe7, 0xad,
-  0xd0, 0xd2, 0xa4, 0x78, 0x9c, 0xf9, 0xc6, 0x10, 0x92, 0x7b, 0xe2, 0x48,
-  0x7f, 0x6b, 0x82, 0xce, 0xd5, 0x55, 0xb4, 0x8b, 0xb2, 0x75, 0x74, 0x53,
-  0x89, 0xad, 0xd9, 0x24, 0x77, 0xea, 0x61, 0xf2, 0x21, 0x54, 0xa7, 0x41,
-  0x33, 0x6d, 0xa8, 0xa3, 0x5b, 0xd1, 0xb7, 0xd8, 0xe8, 0x96, 0x1f, 0x46,
-  0x65, 0x01, 0x4b, 0x8b, 0x1a, 0x50, 0x72, 0x96, 0x4f, 0x6c, 0x60, 0xe5,
-  0x91, 0x74, 0x5c, 0xc8, 0x97, 0x8d, 0x49, 0x69, 0x0b, 0xbf, 0xa6, 0xd4,
-  0xcc, 0xe0, 0x1f, 0x1a, 0x30, 0x32, 0x3a, 0x9f, 0xe1, 0xbe, 0x5c, 0x75,
-  0xee, 0xae, 0xb3, 0xcc, 0x33, 0xdb, 0x99, 0xca, 0x6b, 0xef, 0xbf, 0x99,
-  0xaf, 0x47, 0x78, 0x25, 0x3d, 0xf8, 0xbe, 0x49, 0xdb, 0x34, 0x36, 0x00,
-  0x0c, 0xec, 0xb8, 0x7c, 0x04, 0x14, 0x9b, 0xea, 0x5f, 0x82, 0xaf, 0x83,
-  0xf8, 0x6e, 0x85, 0xa5, 0x75, 0xf1, 0x60, 0x68, 0x21, 0xc3, 0x3a, 0xca,
-  0x1e, 0xbd, 0x07, 0x4d, 0x2d, 0x83, 0x24, 0x9c, 0xa9, 0xdc, 0x4d, 0xaf,
-  0x95, 0x7f, 0xef, 0x1d, 0x1e, 0x50, 0xea, 0x08, 0xef, 0xd5, 0xf9, 0xb2,
-  0x9e, 0xb9, 0xed, 0x97, 0x1e, 0xfd, 0x1b, 0x56, 0xcd, 0x67, 0xa0, 0x57,
-  0x54, 0x5f, 0x1d, 0x43, 0x2b, 0xde, 0x6b, 0xc7, 0x29, 0xe9, 0x9d, 0x0a,
-  0x84, 0xd4, 0x25, 0xb4, 0xf3, 0xb3, 0xdb, 0x1c, 0x98, 0xdc, 0x91, 0x49,
-  0x16, 0xec, 0xc8, 0xfa, 0xa1, 0xb2, 0x03, 0xb6, 0xe5, 0x7a, 0xb4, 0x56,
-  0xb5, 0xf5, 0x70, 0x4b, 0x75, 0x68, 0xb9, 0x6e, 0xea, 0x66, 0xc9, 0xe2,
-  0x25, 0xc2, 0x4d, 0xe3, 0x14, 0xcc, 0xc1, 0xf9, 0xa0, 0xe0, 0x8e, 0x71,
-  0xa0, 0xbf, 0x53, 0xbb, 0x2f, 0x60, 0x37, 0x76, 0xca, 0xfb, 0x55, 0x57,
-  0x65, 0xbd, 0xda, 0xef, 0xf4, 0x65, 0xb2, 0xe9, 0x3c, 0x17, 0xa3, 0x55,
-  0x4f, 0x5e, 0x8f, 0xd5, 0xef, 0xce, 0x1e, 0x64, 0x92, 0x8f, 0x4b, 0xde,
-  0x7c, 0x8b, 0x89, 0x62, 0xb1, 0x60, 0xe2, 0x81
+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 p_4096[] = { /* key component p, 256 bytes */
-  0xbd, 0x67, 0x35, 0x89, 0x0c, 0xdd, 0x2d, 0xae, 0xfa, 0xf4, 0xc3, 0xac,
-  0xa0, 0xe7, 0x01, 0xe0, 0x3b, 0xb5, 0x3c, 0x7f, 0xe0, 0xe1, 0x80, 0x18,
-  0x96, 0xce, 0x0d, 0x5f, 0xaf, 0x83, 0x14, 0x9c, 0xda, 0x50, 0xdd, 0x86,
-  0xf4, 0x5f, 0x22, 0xd1, 0x5d, 0xdc, 0xc2, 0x36, 0x49, 0x8a, 0x88, 0xc9,
-  0x0d, 0xf4, 0xc7, 0x01, 0x03, 0x2e, 0xca, 0x6c, 0xd8, 0x5f, 0xd2, 0x5c,
-  0x9b, 0xfb, 0xa5, 0x0d, 0x3f, 0x26, 0xb0, 0x04, 0x07, 0x3a, 0xf5, 0x12,
-  0xd5, 0x58, 0xd5, 0xe4, 0x46, 0x42, 0x1d, 0x69, 0x09, 0x6d, 0x05, 0x7f,
-  0x37, 0x4a, 0x00, 0x04, 0x08, 0xab, 0xa4, 0x2e, 0xf6, 0x18, 0xe0, 0x06,
-  0x10, 0x89, 0xa4, 0x83, 0x1d, 0x6e, 0x6e, 0x5f, 0x7b, 0x40, 0x3f, 0x9a,
-  0xcf, 0x64, 0x7a, 0xc6, 0x43, 0xb9, 0x76, 0xda, 0xb7, 0x24, 0x55, 0xe4,
-  0xd4, 0x5e, 0xb5, 0xd3, 0xf7, 0xe0, 0xae, 0x85, 0x7d, 0x83, 0x29, 0xb3,
-  0x93, 0x1b, 0x9a, 0x8e, 0x5e, 0x79, 0x5b, 0xc2, 0x3b, 0x32, 0x5f, 0x4c,
-  0x06, 0x84, 0xaa, 0x9c, 0x13, 0x6f, 0xb6, 0xad, 0xf3, 0x1e, 0x81, 0xd8,
-  0x4a, 0x7d, 0xea, 0x23, 0x54, 0xa5, 0x67, 0x70, 0x4b, 0x58, 0xe6, 0x24,
-  0x14, 0x31, 0x29, 0x52, 0xc6, 0xd9, 0x71, 0x87, 0xfb, 0x52, 0x8f, 0x34,
-  0xc9, 0x0d, 0xa1, 0x10, 0x38, 0xbe, 0xcd, 0xf8, 0x0c, 0xf4, 0x5e, 0x20,
-  0x20, 0xa4, 0xc7, 0xfb, 0xee, 0x92, 0x3f, 0xeb, 0x9d, 0x6f, 0x21, 0xd9,
-  0xfb, 0x53, 0x79, 0xed, 0x9a, 0x51, 0xb0, 0xab, 0xed, 0x3d, 0x79, 0x99,
-  0x89, 0x39, 0xc7, 0x33, 0x4c, 0x7e, 0x57, 0xfa, 0x55, 0x82, 0x54, 0x8a,
-  0xe8, 0xa1, 0xe8, 0x81, 0xb7, 0x4d, 0x9a, 0xde, 0x35, 0x47, 0x5e, 0xbd,
-  0xae, 0xae, 0x96, 0xc2, 0xdb, 0x3d, 0x39, 0xde, 0x7e, 0xfc, 0xd8, 0xcc,
-  0x3f, 0xea, 0x8b, 0x63
+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 q_4096[] = { /* key component q, 256 bytes */
-  0xcc, 0xf2, 0xcf, 0xaf, 0x2f, 0x5a, 0x22, 0x36, 0x67, 0x12, 0xce, 0xf9,
-  0xef, 0xdc, 0x6b, 0xc4, 0xdf, 0x9a, 0x6b, 0x59, 0x43, 0xa7, 0x55, 0x56,
-  0xa8, 0x5f, 0x32, 0xe2, 0x5d, 0x41, 0x33, 0xd6, 0x5b, 0x89, 0xb5, 0x2a,
-  0x30, 0x06, 0xe3, 0x1b, 0x68, 0xbd, 0xad, 0x57, 0x0a, 0xd1, 0x44, 0xe1,
-  0x9f, 0xe4, 0x99, 0xed, 0x6e, 0x0d, 0x24, 0xdd, 0xdd, 0x52, 0xb6, 0x67,
-  0xc8, 0x51, 0xe3, 0x25, 0x9a, 0xd4, 0x17, 0xb6, 0x06, 0x17, 0x53, 0x26,
-  0x78, 0x12, 0x4e, 0x8b, 0xe8, 0x73, 0x1a, 0x1f, 0xfe, 0xfa, 0xe5, 0xc1,
-  0x54, 0xc2, 0x22, 0x98, 0xc4, 0xcf, 0xc1, 0xf9, 0x1c, 0x8b, 0xfa, 0xe4,
-  0xb2, 0x50, 0x7e, 0x25, 0x24, 0x49, 0xd9, 0x3f, 0x63, 0x96, 0x51, 0x20,
-  0xa7, 0x14, 0xa7, 0x81, 0xf8, 0x97, 0x97, 0x14, 0x5c, 0x25, 0xe1, 0x4d,
-  0x7c, 0x70, 0xa7, 0x2c, 0xba, 0x80, 0x22, 0xc4, 0xf3, 0xdc, 0x8f, 0x4c,
-  0xf2, 0x4b, 0x76, 0xe7, 0x70, 0xeb, 0xb5, 0xe2, 0x18, 0xd0, 0x28, 0x03,
-  0x28, 0xf0, 0x30, 0x91, 0x54, 0x05, 0x41, 0xe5, 0x4d, 0x84, 0x87, 0x8b,
-  0x22, 0xc3, 0x28, 0x9b, 0xcc, 0xd1, 0x29, 0xda, 0xe5, 0x2c, 0x32, 0x44,
-  0x95, 0xc7, 0x5b, 0x77, 0xf3, 0x6a, 0x97, 0x0a, 0x2f, 0x18, 0xa4, 0xb0,
-  0x67, 0x99, 0x46, 0xad, 0xcf, 0x24, 0xba, 0x2a, 0xbc, 0x04, 0x54, 0xe5,
-  0x91, 0xbe, 0x37, 0x3c, 0x11, 0xf7, 0x8a, 0xa4, 0x2d, 0x6f, 0xca, 0x4d,
-  0x16, 0x71, 0x6a, 0x02, 0xf7, 0xdf, 0xa9, 0x1c, 0x0e, 0x53, 0x51, 0x19,
-  0xb8, 0x6c, 0x46, 0x61, 0x8e, 0x9c, 0x3a, 0x8f, 0xfa, 0x1a, 0x56, 0xa8,
-  0xef, 0x16, 0x2b, 0x45, 0xc4, 0x70, 0xbf, 0xb4, 0x45, 0xf2, 0xbb, 0x67,
-  0x4d, 0x96, 0xbb, 0xbb, 0x77, 0x7c, 0xc6, 0x4f, 0x7b, 0xce, 0xcf, 0x93,
-  0xde, 0x11, 0x86, 0x21
+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 u_4096[] = { /* key component u, 256 bytes */
-  0x54, 0x31, 0x57, 0xff, 0x2c, 0xac, 0x38, 0xe7, 0xef, 0xa6, 0x8e, 0x0f,
-  0xba, 0xcd, 0x7f, 0xcb, 0x8a, 0x30, 0x4a, 0x98, 0xd9, 0xf2, 0xb8, 0x61,
-  0x5e, 0x93, 0x8f, 0x99, 0xf4, 0xe8, 0x3e, 0xd8, 0x23, 0x6f, 0xab, 0xc0,
-  0x64, 0x7d, 0x1a, 0xf1, 0x10, 0x8c, 0xd3, 0x3f, 0x3d, 0x2e, 0x0d, 0xa1,
-  0x6c, 0xb7, 0x27, 0x9f, 0x87, 0x0c, 0x73, 0x3a, 0xe4, 0xb3, 0x03, 0x14,
-  0xfd, 0x1a, 0x5e, 0xe9, 0x98, 0xde, 0xb0, 0x93, 0xd7, 0x36, 0x42, 0x7a,
-  0xc4, 0xc4, 0x78, 0x78, 0x8c, 0x4d, 0x88, 0xc1, 0x5f, 0x6c, 0x6e, 0x05,
-  0x65, 0xe9, 0x88, 0x04, 0xc4, 0x42, 0x3f, 0x02, 0x29, 0x79, 0xfe, 0x80,
-  0xaa, 0x60, 0x5f, 0x7a, 0x20, 0xb5, 0x63, 0x71, 0x58, 0x0f, 0x37, 0xdf,
-  0x0e, 0x94, 0x1b, 0xbb, 0x27, 0xb7, 0xcd, 0x03, 0xb6, 0x74, 0xd4, 0x2d,
-  0xe4, 0xe1, 0xa3, 0x7a, 0xdc, 0x98, 0xeb, 0x31, 0x85, 0x6b, 0x0b, 0x0e,
-  0x69, 0x1a, 0x5e, 0xfb, 0x45, 0x88, 0x23, 0x88, 0x83, 0x08, 0x1f, 0xe2,
-  0xd2, 0x91, 0xfd, 0x12, 0xbc, 0x5d, 0x55, 0x9e, 0x4b, 0x1d, 0x7f, 0xb3,
-  0xd3, 0xe9, 0x1b, 0x66, 0xdd, 0x37, 0x0d, 0x74, 0x0c, 0x42, 0xf2, 0xb3,
-  0xd0, 0x04, 0xa9, 0x68, 0x41, 0x20, 0xe8, 0x4f, 0xfd, 0x92, 0xd3, 0xc0,
-  0x24, 0xe7, 0x6d, 0x69, 0xd2, 0xe8, 0xc8, 0x08, 0x52, 0xd9, 0xfe, 0xcb,
-  0x4b, 0x0c, 0x72, 0x56, 0x0a, 0x2a, 0xa3, 0x63, 0x00, 0xe6, 0xc5, 0xe1,
-  0x91, 0x93, 0x21, 0x76, 0x2c, 0x14, 0xa4, 0xe3, 0xff, 0xf4, 0x45, 0xc0,
-  0x1a, 0x0e, 0x94, 0xb3, 0x6d, 0x52, 0xe3, 0x88, 0x22, 0xaf, 0xa2, 0x85,
-  0xa0, 0xfe, 0xdb, 0x2a, 0xfe, 0xa0, 0x4e, 0x9a, 0x2d, 0x1c, 0xbc, 0xe0,
-  0xbe, 0x15, 0xaf, 0xec, 0xa8, 0xc9, 0x2d, 0x7a, 0x69, 0xd3, 0x3d, 0xac,
-  0xa3, 0x92, 0x36, 0x0b
+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 m_4096[] = { /* message to be signed, 512 bytes */
-  0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+static const uint8_t m_4096[] = { /* message to be signed, 516 bytes */
+  0x00, 0x00, 0x00, 0x00, 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,
@@ -572,57 +738,57 @@ static const uint8_t m_4096[] = { /* message to be signed, 512 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
+  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
 };
 
-static const uint8_t s_4096[] = { /* signed message, 512 bytes */
-  0x57, 0x1c, 0xea, 0xc6, 0xef, 0x58, 0x63, 0x7f, 0x9f, 0x61, 0xd7, 0x28,
-  0x33, 0xb2, 0x06, 0x55, 0xf6, 0x19, 0x30, 0x04, 0x40, 0xbd, 0x8a, 0x1b,
-  0x61, 0x21, 0x5f, 0xc2, 0x97, 0x38, 0xd4, 0x3e, 0x20, 0x92, 0x12, 0x58,
-  0x40, 0xd9, 0x60, 0x6f, 0x52, 0x82, 0x00, 0x00, 0x44, 0x68, 0x29, 0xf5,
-  0xcb, 0x00, 0xf2, 0xde, 0xc8, 0x49, 0xba, 0x47, 0xf3, 0x5c, 0xb7, 0x8d,
-  0xfd, 0x5f, 0x67, 0x12, 0xb9, 0x76, 0xed, 0x24, 0x1f, 0x25, 0x04, 0x17,
-  0x08, 0x45, 0xaa, 0x55, 0x0a, 0x9b, 0x5e, 0x88, 0x03, 0x95, 0x1a, 0x77,
-  0x7b, 0xe0, 0xe2, 0xd8, 0xc2, 0xef, 0x53, 0x22, 0x66, 0x92, 0x73, 0x19,
-  0xcf, 0x1a, 0x26, 0x98, 0x57, 0x2e, 0xbc, 0x04, 0x36, 0xab, 0x26, 0xe9,
-  0x57, 0x1b, 0x5d, 0x3f, 0x49, 0x13, 0xf8, 0x53, 0x3d, 0x4f, 0xbe, 0x41,
-  0x59, 0x68, 0xa2, 0x34, 0x4e, 0xc7, 0x9d, 0x14, 0x0d, 0xaf, 0xdf, 0x91,
-  0xba, 0xf7, 0xe4, 0xce, 0x04, 0x12, 0x9b, 0x47, 0x17, 0x3d, 0xb4, 0xd3,
-  0x76, 0x74, 0xdb, 0x34, 0x80, 0x91, 0x26, 0x56, 0x7f, 0x55, 0x30, 0x64,
-  0x15, 0xa4, 0xc2, 0x20, 0x1a, 0x34, 0xde, 0x0a, 0x6b, 0x99, 0x6a, 0x92,
-  0xf0, 0x40, 0x26, 0xe4, 0x77, 0x73, 0x60, 0x98, 0xa9, 0xb8, 0xbf, 0xc6,
-  0xda, 0x68, 0xa4, 0xcb, 0xee, 0xae, 0x58, 0xf9, 0xa4, 0xb1, 0xfd, 0xb9,
-  0xaa, 0xfd, 0xea, 0xd2, 0x29, 0xec, 0x30, 0xb0, 0x30, 0xc7, 0x8e, 0xdb,
-  0x4b, 0x65, 0x59, 0x65, 0x11, 0xe5, 0xc2, 0xe8, 0xca, 0x43, 0x33, 0x32,
-  0x14, 0x5c, 0x97, 0xf4, 0xc2, 0xe9, 0xde, 0xc9, 0xa9, 0x9e, 0x55, 0x51,
-  0x0e, 0xf7, 0x93, 0xda, 0x95, 0xbb, 0xe5, 0xd0, 0xf6, 0xd9, 0x1b, 0x54,
-  0x34, 0x26, 0x25, 0x3a, 0xeb, 0xbf, 0x80, 0x0a, 0x8d, 0x94, 0x9f, 0x42,
-  0x82, 0xfe, 0x46, 0x33, 0xe8, 0x33, 0x2b, 0xe2, 0xf3, 0xb3, 0x62, 0x1f,
-  0x95, 0xbf, 0x80, 0xf1, 0x55, 0xc1, 0x10, 0xaf, 0xe4, 0x9f, 0x45, 0x97,
-  0xa7, 0x2e, 0xdc, 0xaf, 0xba, 0xe9, 0x0a, 0x35, 0x15, 0x53, 0xbb, 0x23,
-  0xad, 0xa4, 0x1a, 0xc5, 0x3b, 0x70, 0xb0, 0xe8, 0xad, 0x55, 0xb8, 0xd7,
-  0x92, 0x82, 0xf5, 0xb9, 0xbb, 0x4c, 0x86, 0xe3, 0x7e, 0xe4, 0x56, 0xde,
-  0x32, 0xa2, 0xd7, 0x9d, 0x2e, 0x78, 0x02, 0x32, 0x1e, 0x3e, 0x2c, 0x8e,
-  0x2c, 0xa3, 0xad, 0x67, 0x46, 0x68, 0xe7, 0x9e, 0x4b, 0x9b, 0x39, 0xa2,
-  0xdc, 0x41, 0x15, 0x77, 0xb2, 0xf7, 0xb6, 0xbe, 0xd0, 0xac, 0x6d, 0x30,
-  0xda, 0x2e, 0xa0, 0x2d, 0xac, 0x1f, 0x25, 0xd3, 0xf1, 0xaf, 0xed, 0x42,
-  0xd2, 0x8f, 0x3c, 0x34, 0xda, 0xb0, 0xab, 0xbe, 0xf6, 0xbc, 0xb2, 0xd2,
-  0x8c, 0x1c, 0x8b, 0x8e, 0x65, 0x4c, 0xbf, 0x35, 0x67, 0xe0, 0x4f, 0x14,
-  0xf1, 0x43, 0xea, 0x41, 0xce, 0x45, 0xc0, 0xbd, 0x56, 0xe1, 0xd7, 0x39,
-  0x82, 0x40, 0x68, 0xbc, 0x5e, 0x36, 0xed, 0x5a, 0x29, 0x1e, 0x97, 0x50,
-  0x3a, 0x73, 0x16, 0x75, 0x30, 0x7b, 0xb1, 0x90, 0x68, 0x3d, 0xba, 0xb1,
-  0x09, 0x90, 0x27, 0x7a, 0x0c, 0x7b, 0x25, 0x2d, 0xac, 0x66, 0xf5, 0x1e,
-  0xca, 0xdb, 0xf1, 0x96, 0x39, 0xb2, 0xf3, 0xa4, 0x3d, 0x26, 0xa2, 0x27,
-  0xa5, 0xab, 0xb2, 0x24, 0x34, 0xb0, 0xb5, 0xbf, 0xb7, 0xd1, 0x18, 0x4e,
-  0x74, 0x7b, 0x85, 0xe8, 0xfb, 0x1e, 0x54, 0x36, 0xf9, 0x85, 0xd5, 0x74,
-  0x47, 0xe9, 0xf7, 0x6a, 0x29, 0x65, 0xb4, 0x53, 0x9b, 0x5c, 0xd3, 0xae,
-  0xbc, 0x9f, 0x06, 0x27, 0xce, 0xa5, 0xf5, 0x7b, 0xd3, 0x93, 0xda, 0x09,
-  0x2d, 0xad, 0xa0, 0xca, 0xb7, 0xe8, 0xba, 0xf9, 0xa9, 0x6a, 0xe3, 0x2e,
-  0xd6, 0xc6, 0x3d, 0xae, 0x07, 0x24, 0x5a, 0xd7
+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
 };
 
 typedef struct { const uint8_t *val; size_t len; } rsa_tc_bn_t;