Published in

MDPI, Journal of Low Power Electronics and Applications, 1(7), p. 3, 2017

DOI: 10.3390/jlpea7010003

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Completing the Complete ECC Formulae with Countermeasures

This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

This work implements and evaluates the recent complete addition formulae for the prime order elliptic curves of Renes, Costello and Batina on an FPGA platform. We implement three different versions: (1) an unprotected architecture; (2) an architecture protected through coordinate randomization; and (3) an architecture with both coordinate randomization and scalar splitting in place. The evaluation is done through timing analysis and test vector leakage assessment (TVLA). Theresultsshowthatapplyinganincreasinglevelofcountermeasuresleadstoanincreasingresistance against side-channel attacks. This is the first work looking into side-channel security issues of hardware implementations of the complete formulae.