Atomicity Improvement for Elliptic Curve Scalar Multiplication

Details Atomicity Improvement for Elliptic Curve Scalar Multiplication Atomicity Improvement for Elliptic Curve Scalar Multiplication

2010-02-24

arxiv.org/abs/1002.4569v2

CARDIS 2010, Passau : Germany (2010)

Computer Science

Cryptography and Security

Scientific paper

In this paper we address the problem of protecting elliptic curve scalar multiplication implementations against side-channel analysis by using the atomicity principle. First of all we reexamine classical assumptions made by scalar multiplication designers and we point out that some of them are not relevant in the context of embedded devices. We then describe the state-of-the-art of atomic scalar multiplication and propose an atomic pattern improvement method. Compared to the most ef?cient atomic scalar multiplication published so far, our technique shows an average improvement of up to 10.6%.

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