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Description of minimum weight codewords of cyclic codes by algebraic systems

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Publication:1383493
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DOI10.1006/ffta.1996.0009zbMath0896.94015OpenAlexW1975576968MaRDI QIDQ1383493

Daniel Augot

Publication date: 26 April 1998

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00723500/file/ffa.pdf


zbMATH Keywords

Gröbner basescyclic codesminimum distanceminimum weight codewords


Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Cyclic codes (94B15)


Related Items

Minimum weight codewords in dual algebraic-geometric codes from the Giulietti-Korchmáros curve ⋮ New classes of affine-invariant codes sandwiched between Reed-Muller codes ⋮ On the small-weight codewords of some Hermitian codes ⋮ The weight distributions of irreducible cyclic codes of length \(2^m\)



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