2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166140An 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.17 pages, submitted to IEEE Transaction on Information TheoryInformation TheoryAlgebraic Soft-Decision Decoding of Hermitian Codestext