Cryptographic keys using random numbers instead of random...

Cryptography – Key management – Having particular key generator

Reexamination Certificate

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C380S028000, C380S029000, C380S030000, C380S046000, C380S047000, C713S176000, C713S180000, C713S181000

Reexamination Certificate

active

07551737

ABSTRACT:
A system and method for providing cryptographic keys which are usable in a network of connected computer nodes applying a signature scheme. The method employs: generating a random secret key usable in the network of connected computer nodes; generating an exponent interval I having a plurality of exponent elements, the exponent interval having a specified first random limit, wherein each element of the plurality of exponent elements of the exponent interval has a unique prime factor tat is larger than a given security parameter; and, providing a public key comprising an exponent-interval description including The first random limit, and a public key value derived from the random secret key, such That the random secret key and a selected exponent value from the plurality of exponent elements in the exponent interval I are usable for deriving a signature value on a message to be sent within The network to a second computer node for verification.

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Fabrice Boudot, Efficient proofs that a committed number lies in an interval, EOROCRYPT 2000, LNCS 1807, pp. 431-444, 2000, Springer-Verlag Berlin Heidelberg 2000.

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