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\def\ppa{-- ++(10pt,0pt) -- ++(0pt,10pt) ++(5pt,-10pt)}
\def\ppb{-- ++(10pt,0pt) -- ++(0pt,10pt) ++(-10pt,0pt) -- ++(0pt,-10pt) ++(15pt,0pt)}
\def\ppc{-- ++(10pt,0pt) ++(-10pt,0pt) -- ++(0pt,10pt) ++(15pt,-10pt)}
\def\ppd{-- ++(10pt,0pt) -- ++(0pt,10pt) -- ++(-10pt,0pt) ++(15pt,-10pt)}
\def\ppe{-- ++(10pt,0pt) -- ++(0pt,10pt) -- ++(-10pt,0pt) -- ++(0pt,-10pt) ++(15pt,0pt)}
\def\ppf{-- ++(10pt,0pt) ++(0pt,10pt) -- ++(-10pt,0pt) -- ++(0pt,-10pt) ++(15pt,0pt)}
\def\ppg{ ++(10pt,0pt) -- ++(0pt,10pt) -- ++(-10pt,0pt) ++(15pt,-10pt)}
\def\pph{ ++(10pt,0pt) -- ++(0pt,10pt) -- ++(-10pt,0pt) -- ++(0pt,-10pt) ++(15pt,0pt)}
\def\ppi{ ++(10pt,0pt) ++(0pt,10pt) -- ++(-10pt,0pt) -- ++(0pt,-10pt) ++(15pt,0pt)}
\def\ppj{-- ++(10pt,0pt) -- ++(0pt,10pt) ++(-5pt,-5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppk{-- ++(10pt,0pt) -- ++(0pt,10pt) ++(-10pt,0pt) -- ++(0pt,-10pt) ++(5pt,5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppl{-- ++(10pt,0pt) ++(-10pt,0pt) -- ++(0pt,10pt) ++(5pt,-5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppm{-- ++(10pt,0pt) -- ++(0pt,10pt) -- ++(-10pt,0pt) ++(5pt,-5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppn{-- ++(10pt,0pt) -- ++(0pt,10pt) -- ++(-10pt,0pt) -- ++(0pt,-10pt) ++(5pt,5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppo{-- ++(10pt,0pt) ++(0pt,10pt) -- ++(-10pt,0pt) -- ++(0pt,-10pt) ++(5pt,5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppp{ ++(10pt,0pt) -- ++(0pt,10pt) -- ++(-10pt,0pt) ++(5pt,-5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppq{ ++(10pt,0pt) -- ++(0pt,10pt) -- ++(-10pt,0pt) -- ++(0pt,-10pt) ++(5pt,5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppr{ ++(10pt,0pt) ++(0pt,10pt) -- ++(-10pt,0pt) -- ++(0pt,-10pt) ++(5pt,5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\pps{ ++(0pt,10pt) -- ++(5pt,-10pt) -- ++(5pt,10pt) ++(5pt,-10pt)}
\def\ppt{ ++(0pt,10pt) -- ++(10pt,-5pt) -- ++(-10pt,-5pt) ++(15pt,0pt)}
\def\ppu{ ++(10pt,10pt) -- ++(-10pt,-5pt) -- ++(10pt,-5pt) ++(5pt,0pt)}
\def\ppv{-- ++(5pt,10pt) -- ++(5pt,-10pt) ++(5pt,0pt)}
\def\ppw{ ++(0pt,10pt) -- ++(5pt,-10pt) -- ++(5pt,10pt) ++(-5pt,-5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppx{ ++(0pt,10pt) -- ++(10pt,-5pt) -- ++(-10pt,-5pt) ++(5pt,5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppy{ ++(10pt,10pt) -- ++(-10pt,-5pt) -- ++(10pt,-5pt) ++(-5pt,5pt) node {$\cdot$} ++(10pt,-5pt)}
\def\ppz{-- ++(5pt,10pt) -- ++(5pt,-10pt) ++(-5pt,5pt) node {$\cdot$} ++(10pt,-5pt)}
\newcommand \sboxOne{
\mbox{
$
\begin{array}{|c|c|c|c|c|}\hline
\amp 00 \amp 01 \amp 10 \amp 11 \\ \hline
00 \amp 01 \amp 11 \amp 10 \amp 11 \\ \hline
01 \amp 11 \amp 10 \amp 01 \amp 00 \\ \hline
10 \amp 00 \amp 10 \amp 01 \amp 11 \\ \hline
11 \amp 11 \amp 01 \amp 11 \amp 10 \\ \hline
\end{array}
$
}
}
\newcommand \sboxTwo{
\mbox{
$
\begin{array}{|c|c|c|c|c|}\hline
\amp 00 \amp 01 \amp 10 \amp 11 \\ \hline
00 \amp 00 \amp 01 \amp 10 \amp 11 \\ \hline
01 \amp 10 \amp 00 \amp 01 \amp 11 \\ \hline
10 \amp 11 \amp 00 \amp 01 \amp 00 \\ \hline
11 \amp 10 \amp 01 \amp 10 \amp 11 \\ \hline
\end{array}
$
}
}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\)
Section 7.3 Advancing Symmetry
Objectives
- More Arithmetic with Bits
- AES
Subsection 7.3.1 Bitwise Multiplications
The Basics
Polynomials and Why it Works
Subsection 7.3.2 Advanced Encryption Standard (AES)
Enter a Little History
Enter Quotes from Mini-AES
Enter Questions