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refinement of millers algorithm over edwards curves
Xu Lei; Lin Dongdai
2010
Conference NameCryptographers Track held at the RSA Conference (CT-RSA)
SourceLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages106-118
Conference DateMAR 01-05,
Conference PlaceSan Francisco, CA
Publish PlaceHEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY
PublisherTOPICS IN CRYPTOLOGY - CT-RSA 2010, PROCEEDINGS
ISSN0302-9743
ISBN978-3-642-11924-8
DepartmentXu, Lei; Lin, Dongdai Chinese Acad Sci, Inst Software, State Key Lab Informat Secur, Beijing, Peoples R China.
English AbstractEdwards gave a new form of elliptic curves in I, and these curves were introduced to cryptography by Bernstein and Lange in 2. The Edwards curves enjoy faster addition and doubling operations, so they are very attractive for elliptic curve cryptography. In 2006, Blake, Murty and Xu proposed three refinements to Millers algorithm for computing Weil/Tate pairings over Weierstrass curves. In this paper we extend their method to Edwards curve and propose a, faster algorithm for computing pairings with Edwards coordinates, which comes from the analysis of divisors of rational functions.
KeywordCryptography Bilinear Pairing Miller Algorithm Twisted Edwards Curve
Content Type会议论文
URIhttp://ir.iscas.ac.cn/handle/311060/8882
Collection信息安全国家重点实验室
Recommended Citation
GB/T 7714
Xu Lei,Lin Dongdai. refinement of millers algorithm over edwards curves[C]. HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY:TOPICS IN CRYPTOLOGY - CT-RSA 2010, PROCEEDINGS,2010:106-118.
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