Simplified understanding and efficient decoding of a class of algebraic-geometric codes

DOI10.1109/18.335973zbMath0814.94026OpenAlexW2110424634MaRDI QIDQ4324162

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Publication date: 1 March 1995

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.335973

zbMATH Keywords

algebraic-geometric codesBCH codesplane curvesHankel matrixGaussian eliminationshift registerdecoding algorithmHermitian curvesrunning timedesigned minimum distance

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Parallel algorithms in computer science (68W10) Computational aspects of algebraic curves (14Q05) Direct numerical methods for linear systems and matrix inversion (65F05) Decoding (94B35)

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On the existence of order functions ⋮ A type of recurring relation on sequences and efficient decoding of a class of algebraic-geometric codes. II

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