Orthogonality matrices for modules over finite Frobenius rings and MacWilliams' equivalence theorem

DOI10.1006/ffta.2001.0343zbMath1010.94012OpenAlexW2006013398MaRDI QIDQ700162

Marcus Greferath

Publication date: 30 September 2002

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

Full work available at URL: https://doi.org/10.1006/ffta.2001.0343

zbMATH Keywords

Frobenius ringsMacWilliams equivalence theoremhomogeneous weightslinear codes over ringsMöbius inversion on posets

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

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The extension theorem for Lee and Euclidean weight codes over integer residue rings ⋮ MacWilliams' extension theorem for bi-invariant weights over finite principal ideal rings ⋮ Relative one-weight linear codes ⋮ MacWilliams extension property for arbitrary weights on linear codes over module alphabets

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