Algebraic Soft-Decision Decoding of Hermitian Codes
Algebraic Soft-Decision Decoding of Hermitian Codes
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DOI：
10.1109/tit.2010.2046208
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发表时间：
2008-07
影响因子：
2.5
通讯作者：
Kwankyu Lee;M. O'Sullivan
中科院分区：
文献类型：
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作者：
Kwankyu Lee;M. O'Sullivan
提出了一种厄米特码的代数软判决译码器。我们应用Koetter和Vardy的软判决解码框架，现在已经建立了Reed-Solmon码，Hermitian码。首先，我们提供了一个代数基础的软决策解码。然后，我们提出了一种插值算法来寻找Q多项式，在解码中起着关键作用。通过仿真比较了Hermitian码和Reed-Solmon码的代数软判决译码器的性能，前者优于后者。
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-Solmon codes, to Hermitian codes. First we provide an algebraic foundation for soft-decision decoding. Then we present an interpolation algorithm to find 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-Solmon codes, favorable to the former.