Cryptology ePrint Archive: Report 2012/092

Tolerant Algebraic Side-Channel Analysis of {AES}

Yossef Oren and Avishai Wool

Abstract: We report on a Tolerant Algebraic Side-Channel Analysis (TASCA) attack on an AES implementation, using an optimizing pseudo- Boolean solver to recover the secret key from a vector of Hamming weights corresponding to a single encryption. We first develop a boundary on the maximum error rate that can be tolerated as a function of the set size output by the decoder and the number of measurements. Then, we show that the TASCA approach is capable of recovering the secret key from errored traces in a reasonable time for error rates approaching this theoretical boundary specifically, the key was recovered in 10 hours on average from 100 measurements with error rates of up to 20%. We discovered that, perhaps counter-intuitively, there are strong incentives for the attacker to use as few leaks as possible to recover the key. We describe the equation setup, the experiment setup and discuss the results.

Category / Keywords: implementation / Algebraic attacks, power analysis, side-channel attacks

Date: received 23 Feb 2012

Contact author: yos at eng tau ac il

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Version: 20120223:215733 (All versions of this report)

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