Method and apparatus for performing elliptic curve arithmetic

Details Method and apparatus for performing elliptic curve arithmetic Method and apparatus for performing elliptic curve arithmetic

2003-05-05

2008-08-26

Zand, Kambiz (Department: 2134)

Cryptography

Particular algorithmic function encoding

C380S263000

Reexamination Certificate

active

07418099

ABSTRACT:
A method of performing a cryptographic operation on a point in an elliptic curve cryptosystem using an elliptic carve. The method comprises the steps of obtaining information that uniquely identifies the elliptic curve and performing computations on the point to obtain the result of the cryptographic operation. The computations use the information. The computations produce an incorrect result if the point is not on the elliptic curve.

REFERENCES:
patent: 6252959 (2001-06-01), Paar et al.
patent: 6490352 (2002-12-01), Schroeppel
Biehl, Ingrid, Meyer, Bernd & Müller, Volker, Differential Fault Attacks on Elliptic Curve Cryptosystems, Advances in Cryptology—Crypto 2000 Proceedings, 2000, pp. 131-146, Lecture Notes in Computer Science vol, 1880, Ed. Mihir Bellare, Springer-Verlag.

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