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chapter6_mathematical_ciphers.ptx
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<?xml version="1.0" encoding="UTF-8" ?>
<!--********************************************************************
Copyright 2017 Charles F. Rocca Jr
This file is part of a MathBook XML project.
This project is focused on creating a brief inquiry based text for
use in a introductory course in cryptology for non-technical students.
The material is presented, whenever possible, in a historically honest
manner.
Copyright 2015 Robert A. Beezer
This file is part of MathBook XML.
MathBook XML is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 2 or version 3 of the
License (at your option).
MathBook XML is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with MathBook XML. If not, see <http://www.gnu.org/licenses/>.
*********************************************************************-->
<chapter xml:id="MathematicalCrypto" xmlns:xi="http://www.w3.org/2001/XInclude">
<title> Mathematics to the Rescue </title>
<objectives>
<ul>
<li>Modular Arithmetic</li>
<li>Affine</li>
<li>Matrices</li>
<li> Hill? </li>
</ul>
</objectives>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Modular Materials
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -->
<xi:include href="mathematical_ciphers/modular_arithmetic.ptx"/>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Affine Materials
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -->
<xi:include href="mathematical_ciphers/affine_cipher.ptx"/>
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Hill's Cipher
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -->
<xi:include href="mathematical_ciphers/hill_cipher.ptx" />
<xi:include href="mathematical_ciphers/attacking_hill_cipher.ptx" />
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Chapter Exercises
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -->
<xi:include href="mathematical_ciphers/math_cipher_exercises.ptx" />
</chapter>