Method and apparatus for modular inversion for information...

G - Physics – 06 – F

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G06F 17/10 (2006.01) G06F 7/72 (2006.01) G11B 23/00 (2006.01) H04L 9/28 (2006.01)

Patent

CA 2253009

The present invention is directed towards a method and system for modular inversion for information security. The modular inversion, including an extended binary GCD, can be determined with a reduced time overhead by the present invention. For determining the modular inversion, digital signals representing values X and N of n-bits and a parameter t are input, then Y is determined where Y is X2-t mod N. Using Y, an extended GCD is used to find S where S is Y-1 2k modN and k and R is determined for S where R is S2-(k+t-2n). A Montgomery inverse of X may be found on a residue class ring Z/NZ using R=X-1 2 2n.

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