Faster group operations on elliptic curves

Hisil, Huseyin, Wong, Kenneth Koon-Ho, Carter, Gary, & Dawson, Edward (2009) Faster group operations on elliptic curves. In Information Security 2009 : proceedings of the 7th Australasian Information Security Conference, CRPIT/Springer, Wellington, New Zealand, pp. 11-19.

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This paper improves implementation techniques of Elliptic Curve Cryptography. We introduce new formulae and algorithms for the group law on Jacobi quartic, Jacobi intersection, Edwards, and Hessian curves. The proposed formulae and algorithms can save time in suitable point representations. To support our claims, a cost comparison is made with classic scalar multiplication algorithms using previous and current operation counts. Most notably, the best speeds are obtained from Jacobi quartic curves which provide the fastest timings for most scalar multiplication strategies benefiting from the proposed 12M + 5S + 1D point doubling and 7M + 3S + 1D point addition algorithms.

Furthermore, the new addition algorithm provides an efficient way to protect against side channel attacks which are based on simple power analysis (SPA). Keywords: Efficient elliptic curve arithmetic,unified addition, side channel attack.

Impact and interest:

6 citations in Scopus
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ID Code: 27634
Item Type: Conference Paper
Refereed: Yes
Keywords: Efficient elliptic curve arithmetic, unified addition, side channel attack
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Institutes > Information Security Institute
Past > Schools > School of Engineering Systems
Copyright Owner: Copyright 2009 Springer
Deposited On: 29 Sep 2009 21:28
Last Modified: 01 Mar 2012 01:43

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