Cyclotomic polynomial construction of discrete logarithm cryptosystems over finite fields

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United States of America Patent

PATENT NO 6665405
SERIAL NO

09704722

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Abstract

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Cyclotomic polynomials are used to construct subgroups of multiplicative groups of finite fields that allow very efficient implementation of discrete logarithm based public key cryptosystems, including public key encryption schemes and digital signature schemes. A field is represented with an optimal normal basis, and a generator of a subgroup of the multiplicative group of the field is used to form a public key.

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  • CITIBANK, N.A.

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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Lenstra, Arjen K Basking Ridge, NJ 8 176

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