IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Exact Power Analysis of Unified Code over Generalized Mersenne Prime Fields
Toshiyuki MASUE
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2013 Volume E96.A Issue 2 Pages 618-625

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Abstract

This paper presents a power analysis that applies to elliptic curves over generalized Mersenne prime field $\mathbb{F}_p$. This prime field enables efficient modular reductions which influence the computational performance of an elliptic curve cryptosystem. The general modular reductions stochastically calculate extra operations. Some studies showed the possibility of power analysis attacks to scalar multiplication with a unified code by using the statistical information of extra operations. In this paper, we present the statistical experiment and possibility of attacks, and propose the more sensitive attack and the countermeasure without performance impact.

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© 2013 The Institute of Electronics, Information and Communication Engineers
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