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Paper 2011/206

Isomorphism classes of Edwards curves over finite fields

R. Farashahi and D. Moody and 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.

Note: After submission, we (Moody and Wu) became aware of independent work by R. Farashahi which has similar results. We have combined our work into this one article, so there will not be duplicate work in the literature.

Metadata
Available format(s)
PDF
Publication info
Published elsewhere. Unknown where it was published
Keywords
Elliptic curvesEdwards curvesIsomorphisms
Contact author(s)
dbmoody25 @ gmail com
History
2011-10-17: last of 2 revisions
2011-04-25: received
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Short URL
https://ia.cr/2011/206
License
Creative Commons Attribution
CC BY
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