[Resource Topic] 2011/206: Isomorphism classes of Edwards curves over finite fields

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Title:
Isomorphism classes of Edwards curves over finite fields

Authors: R. Farashahi, D. Moody, H. Wu

Abstract:

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

ePrint: https://eprint.iacr.org/2011/206

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