Syndrome series of one point algebraic-geometric codes and majority voting scheme

DOI10.1007/BF02883631zbMath0985.94051MaRDI QIDQ5955871

Bao Li, Guozhen Xiao

Publication date: 18 February 2002

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

minimal polynomialdecoding of algebraic-geometric codesgeneralized Berlekamp-Massey algorithmmajority voting schemerecurring relations on syndrome series

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Cites Work

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• Extension of the Berlekamp-Massey algorithm to N dimensions
• Decoding algebraic-geometric codes up to the designed minimum distance
• On the decoding of algebraic-geometric codes
• Generalized Berlekamp-Massey decoding of algebraic-geometric codes up to half the Feng-Rao bound

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