Cryptology ePrint Archive: Report 2017/629

A Systematic Approach to the Side-Channel Analysis of ECC Implementations with Worst-Case Horizontal Attacks

Romain Poussier and Yuanyuan Zhou and Fran├žois-Xavier Standaert

Abstract: The wide number and variety of side-channel attacks against scalar multiplication algorithms makes their security evaluations complex, in particular in case of time constraints making exhaustive analyses impossible. In this paper, we present a systematic way to evaluate the security of such implementations against horizontal attacks. As horizontal attacks allow extracting most of the information in the leakage traces of scalar multiplications, they are suitable to avoid risks of overestimated security levels. For this purpose, we additionally propose to use linear regression in order to accurately characterize the leakage function and therefore approach worst-case security evaluations. We then show how to apply our tools in the contexts of ECDSA and ECDH implementations, and validate them against two targets: a Cortex-M4 and a Cortex-A8 micro-controllers.

Category / Keywords: public-key cryptography / side-channel, elliptic curves, scalar multiplications, horizontal attacks, worst case

Original Publication (with minor differences): IACR-CHES-2017

Date: received 27 Jun 2017

Contact author: romain poussier at uclouvain be

Available format(s): PDF | BibTeX Citation

Version: 20170627:195323 (All versions of this report)

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