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New Algebraic Soft Decision Decoding Algorithm for Reed-Solomon Code

Published 30 Jul 2014 in cs.IT and math.IT | (1407.8069v3)

Abstract: In this paper, a new algebraic soft-decision decoding algorithm for Reed-Solomon code is presented. It is based on rational interpolation and the interpolation points are constructed by Berlekamp-Messay algorithm. Unlike the traditional K{\"o}tter-Vardy algorithm, new algorithm needs interpolation for two smaller multiplicity matrixes, due to the corresponding factorization algorithm for re-constructing codewords.

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