[Resource Topic] 2013/015: Complete and Unified Group Laws are not Enough for Elliptic Curve Cryptography

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

Authors: 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.

ePrint: https://eprint.iacr.org/2013/015

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