Cryptology ePrint Archive: Report 2005/125

SPA Resistant Left-to-Right Integer Recodings

Nicolas Th\'eriault

Abstract: We introduce two new left-to-right integer recodings which can be used to perform scalar multiplication with a fixed sequence of operations. These recodings make it possible to have a simple power analysis resistant implementation of a group-based cryptosystem without using unified formulas or introducing dummy operations. This approach is very useful for groups in which the doubling step are less expensive than the addition step, for example with hyperelliptic curves over binary fields or elliptic curves with mixed coordinates.

Category / Keywords: public-key cryptography / public-key cryptography, elliptic curve cryptosystem, hyperelliptic curve cryptosystem, side-channel attacks, countermeasures

Date: received 22 Apr 2005, last revised 17 May 2005

Contact author: ntheriau at math uwaterloo ca

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Version: 20050517:140623 (All versions of this report)

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