Abstract
The class of information set decoding algorithms is the best known way of decoding general codes, i.e. codes that admit no special structure, in the Hamming metric. Stern's algorithm is the origin of the most efficient algorithms in this class. In this paper we consider the same decoding problem but for a channel with soft information. We give a version of Stern's algorithm for a channel with soft information that includes some novel steps of ordering vectors in lists, based on reliability values. We then demonstrate how this new algorithm can be used in a few cryptographic applications, including a very efficient attack on a recently proposed McEliece-type cryptosystem.
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