Algebraic Soft-Decision Decoding of Hermitian Codes

Details Algebraic Soft-Decision Decoding of Hermitian Codes Algebraic Soft-Decision Decoding of Hermitian Codes

2008-07-31

arxiv.org/abs/0807.4995v1

Computer Science

Information Theory

17 pages, submitted to IEEE Transaction on Information Theory

Scientific paper

An algebraic soft-decision decoder for Hermitian codes is presented. We apply Koetter and Vardy's soft-decision decoding framework, now well established for Reed-Solomon codes, to Hermitian codes. First we provide an algebraic foundation for soft-decision decoding. Then we present an interpolation algorithm finding the Q-polynomial that plays a key role in the decoding. With some simulation results, we compare performances of the algebraic soft-decision decoders for Hermitian codes and Reed-Solomon codes, favorable to the former.

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