Elliptic curve cryptosystem optimization using two phase key...

Cryptography – Key management – Having particular key generator

Reexamination Certificate

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C380S045000, C380S046000, C380S047000

Reexamination Certificate

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07912216

ABSTRACT:
A computer-implemented method of generating an elliptic curve cryptosystem (ECC) signature includes the steps of: generating a first random key (k1) having n bits, where n is a natural number; calculating a first ECC point (V) from k1and a base point; and storing k1and V securely in a computer-readable medium. To digitally sign electronic data, the method further includes the steps of generating a second random key (k2), where k2has fewer than n bits; calculating a second ECC point (Q) from V and k2; and digitally signing electronic data using Q.

REFERENCES:
patent: 5963646 (1999-10-01), Fielder et al.
patent: 6141420 (2000-10-01), Vanstone et al.
patent: 6209091 (2001-03-01), Sudia et al.
patent: 6618483 (2003-09-01), Vanstone et al.
patent: 2006/0174126 (2006-08-01), Crandall et al.
patent: 2007/0206789 (2007-09-01), Sotoodeh

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