Cryptology ePrint Archive: Report 2013/764

Dynamic Countermeasure Against the Zero Power Analysis

Jean-Luc Danger and Sylvain Guilley and Philippe Hoogvorst and CÚdric Murdica and David Naccache

Abstract: Elliptic Curve Cryptography can be vulnerable to Side-Channel Attacks, such as the Zero Power Analysis (ZPA). This attack takes advantage of the occurrence of special points that bring a zero-value when computing a doubling or an addition of points. This paper consists in analysing this attack. Some properties of the said special points are explicited. A novel dynamic countermeasure is described. The elliptic curve formulæ are updated depending on the elliptic curve and the provided base point.

Category / Keywords: public-key cryptography / Elliptic Curve Cryptography, Side-Channel Analysis, Zero Power Analysis, Zero-Value Points, Dynamic Countermeasure, Jacobi Symbol.

Date: received 18 Nov 2013

Contact author: cedric murdica at gmail com

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Version: 20131121:191137 (All versions of this report)

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