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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...
In this paper, we propose an efficient interpolation-based systematic encoder for low-rate Blaum-Roth codes. Our algorithm is based upon an equivalent definition of [p, k] Blaum-Roth codes from the perspective of generator matrices. Moreover, applying the interpolation method first proposed by D.J.J. Versfeld et al. to the generator matrix, we then derive a formula to resolve the erasure-only decoding...
The work presented in this paper focuses on an efficient erasure-only decoding algorithm for Generalized Reed-Solomon (in short, GRS) codes. The underlying principle of previous decoding algorithms for GRS is first to recover the codewords and further to obtain the original messages. Greatly different from the previous solutions, our novel algorithm, referred to as Direct Erasure-only Decoding, can...
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