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Next: <a href="Prime-numbers.html#Prime-numbers" accesskey="n" rel="next">Prime numbers</a>, Previous: <a href="S_002dexpressions.html#S_002dexpressions" accesskey="p" rel="prev">S-expressions</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
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<hr>
<a name="MPI-library-1"></a>
<h2 class="chapter">12 MPI library</h2>

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<tr><td align="left" valign="top">&bull; <a href="Data-types.html#Data-types" accesskey="1">Data types</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">MPI related data types.
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<tr><td align="left" valign="top">&bull; <a href="Basic-functions.html#Basic-functions" accesskey="2">Basic functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">First steps with MPI numbers.
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<tr><td align="left" valign="top">&bull; <a href="MPI-formats.html#MPI-formats" accesskey="3">MPI formats</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">External representation of MPIs.
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<tr><td align="left" valign="top">&bull; <a href="Calculations.html#Calculations" accesskey="4">Calculations</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">Performing MPI calculations.
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<tr><td align="left" valign="top">&bull; <a href="Comparisons.html#Comparisons" accesskey="5">Comparisons</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">How to compare MPI values.
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<tr><td align="left" valign="top">&bull; <a href="Bit-manipulations.html#Bit-manipulations" accesskey="6">Bit manipulations</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">How to access single bits of MPI values.
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<tr><td align="left" valign="top">&bull; <a href="EC-functions.html#EC-functions" accesskey="7">EC functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">Elliptic curve related functions.
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<tr><td align="left" valign="top">&bull; <a href="Miscellaneous.html#Miscellaneous" accesskey="8">Miscellaneous</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">Miscellaneous MPI functions.
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<p>Public key cryptography is based on mathematics with large numbers.  To
implement the public key functions, a library for handling these large
numbers is required.  Because of the general usefulness of such a
library, its interface is exposed by Libgcrypt.
In the context of Libgcrypt and in most other applications, these large
numbers are called MPIs (multi-precision-integers).
</p>



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