期刊论文详细信息
Journal of mathematical cryptology
Isolated elliptic curves and the MOV attack
article
Travis Scholl1 
[1] Department of Mathematics, University of Washington
关键词: Elliptic curves;    isogenies;    isolated curves;    embedding degree;    cryptography;    distribution of primes;   
DOI  :  10.1515/jmc-2016-0053
学科分类:社会科学、人文和艺术(综合)
来源: De Gruyter
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【 摘 要 】

We present a variation on the CM method that produces elliptic curves over prime fields with nearly prime order that do not admit many efficiently computable isogenies. Assuming the Bateman–Horn conjecture, we prove that elliptic curves produced this way almost always have a large embedding degree, and thus are resistant to the MOV attack on the ECDLP.

【 授权许可】

CC BY|CC BY-NC-ND   

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