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	Faster Pairing Computation on Jacobi Quartic Curves with High-Degree Twists
	Zhang, Fan ; Li, Liangze ; Wu, Hongfeng
	2015
关键词	Elliptic curve Jacobi quartic curve Tate pairing Miller function Group law ELLIPTIC-CURVES FORM FACTORIZATION
英文摘要	In this paper, we first propose a geometric approach to explain the group law on Jacobi quartic curves which are seen as the intersection of two quadratic surfaces in space. Using the geometry interpretation we construct Miller function. Then we present explicit formulae for the addition and doubling steps in Miller's algorithm to compute the Tate pairing on Jacobi quartic curves. Our formulae on Jacobi quartic curves are better than previously proposed ones for the general case of even embedding degree. Finally, we present efficient formulas for Jacobi quartic curves with twists of degree 4 or 6. Our pairing computation on Jacobi quartic curves are faster than the pairing computation on Weier-strass curves when j = 1728. The addition steps of our formulae are fewer than the addition steps on Weierstrass curves when j = 0.; EI; CPCI-S(ISTP); viczf@pku.edu.cn; liliangze2005@163.com; whfmath@gmail.com; 310-327; 9473
语种	英语
出处	SCI ; EI
出版者	TRUSTED SYSTEMS, INTRUST 2014
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/436893]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhang, Fan,Li, Liangze,Wu, Hongfeng. Faster Pairing Computation on Jacobi Quartic Curves with High-Degree Twists. 2015-01-01.

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