Method and apparatus for calculating a multiplicative...

Electrical computers and digital processing systems: support – Multiple computer communication using cryptography – Particular communication authentication technique

Reexamination Certificate

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C713S176000, C713S180000, C726S006000, C726S017000

Reexamination Certificate

active

10040050

ABSTRACT:
Techniques for implementing a digital signature algorithm in electronic computer hardware include computing the multiplicative inverse of a particular integer modulo a prime modulus by computing a first quantity modulo the prime modulus. The first quantity substantially equals, modulo the prime modulus, the particular integer raised to a power of a second quantity. The second quantity is two less than the prime modulus. The techniques allow an integrated circuit block to compute a modulo multiplicative inverse, such as for signing and verifying digital signatures, using existing blocks of circuitry that consume considerably less area on a chip, and incur fewer developmental costs, than an implementation of an algorithm conventionally used in software.

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B. Schneier, “Applied Cryptography: Protocols, Algorithms, and Source Code in C” (New York: John Wiley & Sons), 2nded. 1996, pp. 246-250, pp. 466-474, pp. 483-494.

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