Algebraic Soft-Decision Decoding of Hermitian Codes
IEEE Transactions on Information Theory（2010）
摘要
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.
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关键词
algebraic soft-decision decoding,koetter-vardy soft-decision decoding,algebraic soft-decision decoder,reed-solmon code,hermitian matrices,algebraic foundation,gröbner bases,soft-decision decoding,interpolation,q-polynomial,hermitian code,hermitian codes,soft-decision decoding framework,key role,simulation result,algebraic codes,polynomials,decoding,interpolation algorithm,algebra,geometry,codes,information analysis,statistics,electronic circuits,mathematics,noise measurement,algorithm design and analysis,encoding
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