Cryptology ePrint Archive: Report 2014/543

A Practical Second-Order Fault Attack against a Real-World Pairing Implementation

Johannes Blömer and Ricardo Gomes da Silva and Peter Günther and Juliane Krämer and Jean-Pierre Seifert

Abstract: Several fault attacks against pairing-based cryptography have been described theoretically in recent years. Interestingly, none of these have been practically evaluated. We accomplished this task and prove that fault attacks against pairing-based cryptography are indeed possible and are even practical — thus posing a serious threat. Moreover, we successfully conducted a second-order fault attack against an open source implementation of the eta pairing on an AVR XMEGA A1. We injected the first fault into the computation of the Miller Algorithm and applied the second fault to skip the final exponentiation completely. We introduce a low-cost setup that allowed us to generate multiple independent faults in one computation. The setup implements these faults by clock glitches which induce instruction skips. With this setup we conducted the first practical fault attack against a complete pairing computation.

Category / Keywords: implementation / Pairing-Based Cryptography, Fault Attacks, eta Pairing

Original Publication (in the same form): Proceedings of FDTC 2014

Date: received 11 Jul 2014, last revised 6 Oct 2015

Contact author: peter guenther at uni-paderborn de

Available format(s): PDF | BibTeX Citation

Version: 20151006:091014 (All versions of this report)

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