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+{{{
+#!htmlcomment
+
+This page is maintained automatically by a script.  Don't modify this page by hand,
+your changes will just be overwritten the next time the script runs.  Talk to your
+Friendly Neighborhood Repository Maintainer if you need to change something here.
+
+}}}
+
+{{{
+#!html
+<h1>modexp</h1>
+
+<p>Modular exponentiation core for implementing public key algorithms such
+as RSA, DH, ElGamal etc.</p>
+
+<p>The core calculates the following function:</p>
+
+<p>C = M ** e mod N</p>
+
+<p>M is a message with a length of n bits
+  e is the exponent with a length of m bits
+  N is the modulus  with a length of n bits</p>
+
+<p>The size n be one and up to and including 8192 bits in steps of 32
+bits.</p>
+
+<p>The size m be one and up to and including 8192 bits in steps of 32
+bits.</p>
+
+<p>The core has a 32-bit memory like interface, but provides status signals
+to inform the system that a given operation has is done. Additionally,
+any errors will also be asserted.</p>
+
+<p>The core is written in Verilog 2001 and suitable for implementation in
+FPGA and ASIC devices. No vendor specific macros are used in the code.</p>
+
+<h2>Implementation details</h2>
+
+<p>The core is iterative with 32-bit operands and not the fastest core on
+the planet.</p>
+
+<h2>Future developments</h2>
+
+<ul>
+<li><p>The core will perform blinding to protect against side channel
+attacks.</p></li>
+<li><p>Increased operands to 64-, 128-, or possibly even 256 bits for
+increased performance.</p></li>
+</ul>
+
+<h2>FPGA-results</h2>
+
+<h2>Altera Cyclone-V</h2>
+
+<ul>
+<li>203 registers</li>
+<li>387 ALMs</li>
+<li>106496 block memory bits</li>
+<li>107 MHz</li>
+</ul>
+
+<h3>Xilinx Artix-7 100T</h3>
+
+<ul>
+<li>160 registers</li>
+<li>565 LUTs</li>
+<li>13 RAMB18E1 block memories</li>
+<li>160 MHz</li>
+</ul>
+
+<h3>Xilinx Spartan-6 LX45</h3>
+
+<ul>
+<li>169 registers</li>
+<li>589 LUTs</li>
+<li>13 RAMB8BWER block memories</li>
+<li>136 MHz</li>
+</ul>
+
+<h2>Status</h2>
+
+<p><strong><em>(2015-04-27)</em></strong></p>
+
+<p>Modexp simulation with exponent and modolus with up to 1280 bits
+simulates. The auto test generation system works. Implementation in
+different FPGA types and vendors works.</p>
+
+<p><strong><em>(2015-04-23)</em></strong></p>
+
+<p>The Montgomery multiplication module works. The Residue calculation
+module works. Top level integration and debugging is onging. The core
+does not yet work and there are dragons to be found.</p>
+
+<p><strong><em>(2014-12-07)</em></strong></p>
+
+<p>Renamed the core tom modexp from rsa to make it more clear that it
+provides generic modular exponentiation, not RSA.</p>
+
+<p><strong><em>(2014-10-01)</em></strong></p>
+
+<p>Very early phase. Started to collect information and drawing some rough
+ideas on paper.</p>
+}}}
+
+[[RepositoryIndex(format=table,glob=core/math/modexp)]]
+
+|| Clone `https://git.cryptech.is/core/math/modexp.git` ||