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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 cryptosystemEdwards Curves
Contact author(s)
genos @ uncc edu
History
2013-01-18: received
Short URL
https://ia.cr/2013/015
License
Creative Commons Attribution
CC BY
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