Twisted Edwards curves revisited

Hisil, Huseyin, Wong, Kenneth Koon-Ho, Carter, Gary, & Dawson, Edward (2008) Twisted Edwards curves revisited. Lecture Notes in Computer Science, LNCS 5350, pp. 326-343.

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Abstract

This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a wide range of applications. Notably, the new addition algorithm uses for suitably selected curve constants. In comparison, the fastest point addition algorithms for (twisted) Edwards curves stated in the literature use . It is also shown that the new addition algorithm can be implemented with four processors dropping the effective cost to . This implies an effective speed increase by the full factor of 4 over the sequential case. Our results allow faster implementation of elliptic curve scalar multiplication. In addition, the new point addition algorithm can be used to provide a natural protection from side channel attacks based on simple power analysis (SPA).

Impact and interest:

39 citations in Scopus
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43 citations in Web of Science®

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ID Code: 27630
Item Type: Journal Article
Refereed: Yes
Keywords: Efficient elliptic curve arithmetic, unified addition, side channel attack, SPA
DOI: 10.1007/978-3-540-89255-7_20
ISBN: 9783540892540
ISSN: 0302-9743
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Institutes > Information Security Institute
Past > Schools > School of Engineering Systems
Copyright Owner: Copyright 2008 Springer
Deposited On: 29 Sep 2009 21:44
Last Modified: 17 Jul 2014 06:44

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