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Finding low-weight polynomial multiples using discrete logarithm

Frédéric Didier·Yann Laigle-Chapuy
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Abstract

Finding low-weight multiples of a binary polynomial is a difficult problem arising in the context of stream ciphers cryptanalysis. The classical algorithm to solve this problem is based on a time memory trade-off. We will present an improvement to this approach using discrete logarithm rather than a direct representation of the involved polynomials. This gives an algorithm which improves the theoretical complexity, and is also very flexible in practice.

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Frédéric Didier, Yann Laigle-Chapuy. 2007-07-12. Finding low-weight polynomial multiples using discrete logarithm. https://arxiv.org/abs/cs/0701069

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