Method of calculating multiplication by scalars on an...

Details Method of calculating multiplication by scalars on an... Method of calculating multiplication by scalars on an...

2006-05-16

2006-05-16

Morse, Gregory (Department: 2134)

Cryptography

Particular algorithmic function encoding

Reexamination Certificate

active

07046801

ABSTRACT:
A cryptographic processing method in which dependence of cryptographic processing process and secret information on each other is cut off; and in which, when a scalar multiplied point is calculated from a scalar value and a point on an elliptic curve in an elliptic curve cryptosystem, a value of a bit of the scalar value is judged; and in which operations on the elliptic curve are executed a predetermined times and in a predetermined order without depending on the judged value of the bit.

REFERENCES:
patent: 5854759 (1998-12-01), Kaliski et al.
patent: 5987131 (1999-11-01), Clapp
patent: 0 981 115 (2000-02-01), None
patent: 0025204 (2000-05-01), None
J. Lopez, “Fast Multiplication on Elliptic Curves over GF(2m) without Precomputation”, Cryptographic Hardware and Embedded Systems, 1stInternational Workshop, Ches '99, 1999 Proceedings, Lecture Notes in Computer Science, vol. 1717, Aug. 12, 1999, pp. 316-327.
Proceedings of CRYPTO '99, LNCS 1666, Springer-Verlag, (1999) pp. 388-397.
Proceedings of CHES '99, LNCS 1717, Springer-Verlag, (1999) pp. 292-302, 316-327.
Math. Comp. 48 (1987) pp. 243-264.

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