Complete and Unified Group Laws are not Enough for Elliptic Curve Cryptography

Graham Enos

Paper 2013/015

Complete and Unified Group Laws are not Enough for Elliptic Curve Cryptography

Graham Enos

Abstract

We analyze four recently proposed normal forms for elliptic curves. Though these forms are mathematically appealing and exhibit some cryptographically desirable properties, they nonetheless fall short of cryptographic viability, especially when compared to various types of Edwards Curves. In this paper, we present these forms and demonstrate why they fail to measure up to the standards set by Edwards Curves.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: elliptic curve cryptosystem Edwards Curves
Contact author(s): genos @ uncc edu
History: 2013-01-18: received
Short URL: https://ia.cr/2013/015
License: CC BY

BibTeX

@misc{cryptoeprint:2013/015,
      author = {Graham Enos},
      title = {Complete and Unified Group Laws are not Enough for Elliptic Curve Cryptography},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/015},
      year = {2013},
      url = {https://eprint.iacr.org/2013/015}
}