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17 \def\approx{\raisebox{0.2ex}{\mbox{\small $\sim$}}}
45 \newcommand{\emailaddr}[1]{\mbox{$<${#1}$>$}}
46 \def\twiddle{\raisebox{0.3ex}{\mbox{\tiny $\sim$}}}
62 \mbox{ }
1280 a \equiv b \mbox{ (mod }c\mbox{)}
1373 This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed.
1399 An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$
1411 example, to calculate $a^3 \mbox { mod }b$ using Montgomery reduction the value of $a$ can be normalized by
1561 This computes $Y \equiv G^X \mbox{ (mod }P\mbox{)}$ using a variable width sliding window algorithm. This function
1563 $X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that
1604 Performs a Fermat primality test to the base $b$. That is it computes $b^a \mbox{ mod }a$ and tests whether the value is
1650 want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime.
1814 Computes the multiplicative inverse of $a$ modulo $b$ and stores the result in $c$ such that $ac \equiv 1 \mbox{ (mod }b\mbox{)}$.