Paper 2013/015 Original: eprint.iacr.org/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
Preprint.
History
2013-01-18: last updated
2013-01-18: published
Short URL
https://ia.cr/2013/015
License
https://creativecommons.org/licenses/by/4.0/

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}
}
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