General principles for the algebraic decoding of cyclic codes

DOI10.1109/18.333886zbMath0824.94026OpenAlexW1967589453MaRDI QIDQ4324146

Xuemin Chen, Tor Helleseth, Trieu-Kien Truong, Irving S. Reed

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/10.1109/18.333886

zbMATH Keywords

Gröbner basesdecodingcyclic codesNewton identities

Mathematics Subject Classification ID

Cyclic codes (94B15) Decoding (94B35)

Related Items (6)

Matrix-product structure of repeated-root cyclic codes over finite fields ⋮ Towards a Gröbner-free approach to coding ⋮ On the decoding of binary cyclic codes with the Newton identities ⋮ Bounded distance decoding of linear error-correcting codes with Gröbner bases ⋮ HELP: a sparse error locator polynomial for BCH codes ⋮ Degröbnerization: a political manifesto

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