[Resource Topic] 2017/204: Linear Cryptanalysis Using Low-bias Linear Approximations

Welcome to the resource topic for 2017/204

Title:
Linear Cryptanalysis Using Low-bias Linear Approximations

Authors: Tomer Ashur, Daniël Bodden, Orr Dunkelman

Abstract:

This paper deals with linear approximations having absolute bias smaller than 2^{-\frac{n}{2}} which were previously believed to be unusable for a linear attack. We show how a series of observations which are individually not statistically significant can be used to create a \chi^2 distinguisher. This is different from previous works which combined a series of significant observations to reduce the data complexity of a linear attack. We test the distinguisher on a real-world cipher and show that it can be used to improve previous results.

ePrint: https://eprint.iacr.org/2017/204

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