scientific article

zbMath1209.94065MaRDI QIDQ3568122

Hai Quang Dinh

Publication date: 17 June 2010

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Galois ringsweight distributionHamming distancematrix ringscodes over finite ringscyclic codesinjective modulessemisimple ringsmonomial transformationsquasi-Frobenius ringsdual codespseudo-injective modulesquasi-injective moduleschain ringshomogeneous distancematrices over finite fieldsnegacyclic codesEuclidean distancerepeated-root codesself-injective ringsFrobenius modulescontinuous modulesMacWilliams equivalence theoremLee distanceselfdual codesnonsingular ringscode equivalencesCS moduleshomogeneous semilocal ringscodes over finite modules\(\mathbb{Z}_{2^n}\)-codesMacWilliams modulesMacWilliams ringspseudo-injective rings

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Finite rings and finite-dimensional associative algebras (16P10) Linear codes (general theory) (94B05) Quasi-Frobenius rings (16L60) Other types of codes (94B60) Cyclic codes (94B15)

Related Items (3)

Cyclic DNA codes over the ring \(\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2+v^2\mathbb {F}_2+uv^2\mathbb {F}_2\) ⋮ Symbol-triple distance of repeated-root constacyclic codes of prime power lengths ⋮ DNA cyclic codes over the ring 𝔽2[u,v/〈u2 − 1,v3 − v,uv − vu〉]

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