【摘 要】
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In this paper,we present the generalized Huff curves that contain Huffs model as a special case.First,it is proved that every elliptic curve with three points of order 2 is isomorphic to a generalized
【机 构】
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College of Sciences,North China University of Technology,Beijing 100144,China
【出 处】
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第六届中国可信计算与信息安全学术会议
论文部分内容阅读
In this paper,we present the generalized Huff curves that contain Huffs model as a special case.First,it is proved that every elliptic curve with three points of order 2 is isomorphic to a generalized Huff curve.Then,the fast and explicit formulae are derived for generalized Huff curves in projective coordinates.This paper also enumerates the number of isomorphism classes of generalized Huff curves over finite fields.Finally,the explicit formulae are presented for the doubling step and addition step in Millers algorithm to compute the Tate pairing on generalized Huff elliptic curves.
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