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|Author(s):||Reza Farashahi; Dustin Moody; Hongfeng Wu;|
|Title:||Isomorphism Classes of Edwards Curves over Finite Fields|
|Published:||May 18, 2012|
|Abstract:||Edwards curves are a new model for elliptic curves, which have attracted notice in cryptography. We give exact formulas for the number of F_q-isomorphism classes of Edwards curves and twisted Edwards curves. This answers a question recently asked by R. Farashahi and I. Shparlinski.|
|Citation:||Finite Fields and Their Applications|
|Pages:||pp. 597 - 612|
|Keywords:||Elliptic curve, Edwards curve, Isomorphism classes, Cryptography|
|DOI:||http://dx.doi.org/10.1016/j.ffa.2011.12.004 (Note: May link to a non-U.S. Government webpage)|
|PDF version:||Click here to retrieve PDF version of paper (367KB)|