Isomorphism classes of Edwards curves over finite fields

R.  Farashahi; D.  Moody; H.  Wu

Paper 2011/206 Original: eprint.iacr.org/2011/206 ↗

Isomorphism classes of Edwards curves over finite fields

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.

Metadata

Available format(s): PDF
Publication info: Preprint.
History: 2011-10-17: last updated; 2011-04-25: published
Short URL: https://ia.cr/2011/206
License: https://creativecommons.org/licenses/by/4.0/

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}
}