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	4-dimensional GLV method on GLS elliptic curves with j-invariant 1728
	Song, Chenggen ; Xu, Maozhi ; Zhou, Zhenghua
	2012
英文摘要	In order to obtain a fast multiplication on elliptic curves, the Gallant-Lambert-Vanstone(GLV) method is introduced to the general situation in dimension 4, one of the open problems in Galbraith, Lin and Scott's work (J. Cryptol. DOI: 10.1007/s00145-010-9065-y) is answered, that is, studying the performance of 4-dimensional GLV method for faster point multiplication on some GLS curves over Fp2 with j-invariant 1728. Finally some results and examples are presented, showing that the 4-dimensional GLV method runs in between 70% and 73% the time of the 2-dimensional GLV method which Galbraith et al. did in their work.; EI; 0; 2; 25-28; 34
语种	英语
出处	EI
出版者	guofang keji daxue xuebaojournal of national university of defense technology
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/315497]
专题	数学科学学院
推荐引用方式 GB/T 7714	Song, Chenggen,Xu, Maozhi,Zhou, Zhenghua. 4-dimensional GLV method on GLS elliptic curves with j-invariant 1728. 2012-01-01.

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