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	A note on pairing computation on Edwards curves
	Wu, Hongfeng ; Feng, Rongquan
	2012
英文摘要	Various elliptic curve models reveal different efficiency of pairing computation. This paper proposes new explicit formulas for the doubling and addition steps in Millers algorithm to compute the Tate pairing on Edwards curves. We present the first a simpler geometry approach to explain the group law on Edwards curves. Then we present explicit formulae for the addition step and doubling step in Miller's algorithm to compute Tate pairing on twisted Edwards curves. The approach proposed in this paper is different from the previously proposed ones. This new geometric interpretation on Edwards curves is clear and not complicated comparing to that on cubic curves defined by the chord and tangent rule. This is helpful in further understanding the Tate pairing computation on Edwards curves. ? 2012 by Binary Information Press.; EI; 0; 15; 4381-4388; 9
语种	英语
出处	EI
出版者	journal of information and computational science
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/411339]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wu, Hongfeng,Feng, Rongquan. A note on pairing computation on Edwards curves. 2012-01-01.

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