Isomorphism classes of Edwards curves over finite fields

R.  Farashahi; D.  Moody; H.  Wu

Paper 2011/206

Isomorphism classes of Edwards curves over finite fields

R. Farashahi, 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 curves Edwards curves Isomorphisms
Contact author(s): dbmoody25 @ gmail com
History: 2011-10-17: last of 2 revisions; 2011-04-25: received; See all versions
Short URL: https://ia.cr/2011/206
License: CC BY

BibTeX

@misc{cryptoeprint:2011/206,
      author = {R.  Farashahi and D.  Moody and H.  Wu},
      title = {Isomorphism classes of Edwards curves over finite fields},
      howpublished = {Cryptology {ePrint} Archive, Paper 2011/206},
      year = {2011},
      url = {https://eprint.iacr.org/2011/206}
}