FINDING SECURE ELLIPTIC CURVES OVER GF(2n) AND THEIR BASE POINTS

Liu Shengli; Zheng Dong; Wang Yumin

Volume 22 Issue 5

Sep. 2000

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Article Navigation > Journal of Electronics & Information Technology > 2000 > 22(5): 824-830

Liu Shengli, Zheng Dong, Wang Yumin. FINDING SECURE ELLIPTIC CURVES OVER GF(2n) AND THEIR BASE POINTS[J]. Journal of Electronics & Information Technology, 2000, 22(5): 824-830.

Citation:

Liu Shengli, Zheng Dong, Wang Yumin. FINDING SECURE ELLIPTIC CURVES OVER GF(2n) AND THEIR BASE POINTS[J]. Journal of Electronics & Information Technology, 2000, 22(5): 824-830.

Liu Shengli, Zheng Dong, Wang Yumin. FINDING SECURE ELLIPTIC CURVES OVER GF(2n) AND THEIR BASE POINTS[J]. Journal of Electronics & Information Technology, 2000, 22(5): 824-830.

Citation:

Liu Shengli, Zheng Dong, Wang Yumin. FINDING SECURE ELLIPTIC CURVES OVER GF(2n) AND THEIR BASE POINTS[J]. Journal of Electronics & Information Technology, 2000, 22(5): 824-830.

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FINDING SECURE ELLIPTIC CURVES OVER GF(2n) AND THEIR BASE POINTS

Received Date: 1998-12-28
Rev Recd Date: 1999-09-09
Publish Date: 2000-09-19

Abstract

Abstract

This paper systematically introduces how to find secure elliptic curves with the help of Weil theorem, and proposes an algorithm to find base points in the curves. Finally, an efficient method of finding the trace of any element in GF(2lk), which is involved in the algorithm of finding base points, is given.

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References(1)

References

Menezes A,Okamoto T,Vanstone S A.Reducing elliptic curve logarithms to logarithms in a finite field,IEEE Trans.on IT,1993,IT-39(5):1639-1646.[2]Koblitz N.A Course in Number Theory and Cryptography,Beijing:Springer-Verlag World Publishing Corp.1990,150-170.[3]Beth T,Schaefer F.Non supersingular elliptic curves for public key cryptosystems.Advances in Cryptology-EUROCRYPT91,Berlin:Springer-Verlag,1992,317-327.[4]McEliece J.Finite Field for Computer Scientists and Engineers,Boston:Kluwer Academic,1987,97-105.

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