Isomorphism classes of Edwards curves over finite fields

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• 作者：Reza Rezaeian Farashahi^a ; ^b ; ^{reza.farashahi@mq.edu.au} ; Dustin Moody^c ; ^{dbmoody25@gmail.com} ; Hongfeng Wu^d ; ^{whfmath@gmail.com}
• 关键词：11G05 ; 14H52 ; 14G17
• 刊名：Finite Fields and Their Applications
• 出版年：2012
• 期刊代码：66_10715797
• 类别：mt
• 出版时间：May, 2012
• 卷：18
• 期：3
• 页码：597-612
• 文件大小：195 K

摘要

Edwards curves are an alternate model for elliptic curves, which have attracted notice in cryptography. We give exact formulas for the number of -isomorphism classes of Edwards curves and twisted Edwards curves. This answers a question recently asked by R. Farashahi and I. Shparlinski.