A multidimensional linear distinguishing attack on the Shannon cipher
by Risto M. Hakala, Kaisa Nyberg
International Journal of Applied Cryptography (IJACT), Vol. 1, No. 3, 2009

Abstract: In this article, we present a linear distinguishing attack on the stream cipher Shannon. Our distinguisher can distinguish the output keystream of Shannon from about 2¹⁰⁷ keystream words while using an array of 2³² counters. The distinguisher makes use of a multidimensional linear transformation instead of a 1D transformation, which is traditionally used in linear distinguishing attacks. This gives a clear improvement to the keystream requirement: we need approximately 2⁵ times less keystream than when a 1D transformation is used. In addition, we give evidence of the correctness of the distinguisher by applying it to a smaller version of Shannon.

Online publication date: Tue, 24-Feb-2009

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