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DOI:
Journal of Software:2007.18(7):1799-1805

椭圆曲线Tate对的压缩
胡磊
(信息安全国家重点实验室(中国科学院,研究生院),北京,100049)
Compression of Tate Pairings on Elliptic Curves
HU Lei
()
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Received:July 06, 2004    Revised:March 09, 2006
> 中文摘要: 利用有限域包含的循环群之间的映射,给出了特征为素数p,MOV次数为3的超奇异椭圆曲线上的一类Tate对的两种有效压缩方法,它们分别将Tate对的值从6logp比特长的串压缩到3logp和2logp比特长.两种压缩方法的实现均使用原有Tate对的优化算法的代码,不需要针对压缩对编写新的实现代码,而且两种压缩对的实现均保持原有Tate对的实现速度.
Abstract:In this paper, utilizing maps between cyclic groups contained in a finite field, two efficient methods for compressing a Tate pairing defined on a supersingular elliptic curve with prime characteristic p and MOV degree 3 are presented. They compress a pairing value from a string of length of 6logp bits to ones of 3logp and 2logp bits, respectively, and an implementation for both the compressed pairings makes use of the codes for the optimized algorithm of the original pairing and no new code is needed. Both the compressed pairings achieve the speed of the original implementation.
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基金项目:Supported by the National Natural Science Foundation of China under Grant Nos.90104034, 60373041 (国家自然科学基金); the National High-Tech Research and Development Plan of China under Grant No.2002AA141020 (国家高技术研究发展计划(863)) Supported by the National Natural Science Foundation of China under Grant Nos.90104034, 60373041 (国家自然科学基金); the National High-Tech Research and Development Plan of China under Grant No.2002AA141020 (国家高技术研究发展计划(863))
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胡磊.椭圆曲线Tate对的压缩.软件学报,2007,18(7):1799-1805

HU Lei.Compression of Tate Pairings on Elliptic Curves.Journal of Software,2007,18(7):1799-1805