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arXiv · 0807.4995

Algebraic Soft-Decision Decoding of Hermitian Codes

Kwankyu Lee·Michael E. O'Sullivan
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Abstract

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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Kwankyu Lee, Michael E. O'Sullivan. 2008-07-31. Algebraic Soft-Decision Decoding of Hermitian Codes. https://arxiv.org/abs/0807.4995

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