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Cryptanalysis of Nonlinear Filter Generators with {0, 1}-Metric Viterbi Decoding
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Cryptanalysis of Nonlinear Filter Generators with {0, 1}-Metric Viterbi Decoding
Sabine Leveiller5, 6 , Joseph Boutros6 , Philippe Guillot7 and Gilles Zémor6 
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Thales Communication, 66, rue du Fossé Blanc, 92231 Genevilliers, France |
| (6) |
Ecole Nationale Supérieure des Télécommunications, 46, rue Barrault, 75013 Paris, France |
| (7) |
Canal-Plus Technologies, 34, place Raoul Dautry, 75015 Paris, France |
Abstract
This paper presents a new deterministic attack against stream ciphers based on a nonlinear filter key-stream generator. By
“deterministic” we mean that it avoids replacing the non-linear Boolean function by a probabilistic channel. The algorithm
we present is based on a trellis, and essentially amounts to a Viterbi algorithm with a {0,1}- metric. The trellis is derived
from the Boolean function and the received key-stream. The efficiency of the algorithm is comparable to Golic et al.’s recent
“generalized inversion attack” but uses an altogether different approach: it brings in a novel cryptanalytic tool by calling
upon trellis decoding.
Keywords Boolean functions - stream ciphers - filter generator - Viterbi algorithm - Fourier transform
A full version of this paper was published in: B. Honary (Ed.) Cryptography and Coding. Proceedings 8th IMA International
Conference, Cirencester, UK, December 2001. LNCS 2260, Springer 2001.
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