Cryptography method on elliptic curves

Details Cryptography method on elliptic curves Cryptography method on elliptic curves

2007-05-15

2007-05-15

Revak, Christopher (Department: 2131)

Cryptography

Particular algorithmic function encoding

Public key

C713S180000, C713S171000

Reexamination Certificate

active

10257129

ABSTRACT:
A cryptography method for generating probabilistic digital signatures and/or for a key-exchange a protocol and/or for an encryption algorithm is based on the use of a public key algorithm on abnormal binary elliptic curve, such as a Koblitz curve. A point P (x, y) is selected, and pairs (ki, Pi) are stored with Pibeing the point corresponding to the scalar multiplication of the point P by ki. A random variable (k) is generated and a point C is calculated that corresponds to the scalar multiplication of P by k. The generation of the random variable (k) and the calculation of the point C are performed simultaneously.

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Solinas, J.A.,An Improved Algorithm for Arithmetic on a Family of Elliptic Curves, Proceedings of Crypto 1997, pp. 357-371.

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