Weil descent attack of elliptic curves over finite fields of characteristic three

被引:0
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作者
Arita, Seigo
机构
来源
NEC Research and Development | 2002年 / 43卷 / 03期
关键词
Curve fitting - Functions - Polynomials - Problem solving - Theorem proving - Vectors;
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摘要
This paper shows that some elliptic curves over finite fields of characteristic three of composite degree are attacked by Weil descent. For such an elliptic curve E, we construct a Cab curve D on its Weil restriction in order to reduce the discrete logarithm problem on E to that on D, which is attached by a modified form of Gaudry's variant.
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页码:188 / 190
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