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Applicable Algebra in Engineering, Communication and Computing
Erschienen in: Applicable Algebra in Engineering, Communication and Computing 3/2024

20.04.2022 | Original Paper

δ-dual codes over finite commutative semi-simple rings

verfasst von: Hai Q. Dinh, Ha T. Le, Bac T. Nguyen, Paravee Maneejuk

Erschienen in: Applicable Algebra in Engineering, Communication and Computing | Ausgabe 3/2024

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Abstract

In this paper, \(\delta \)-dual codes over finite commutative semi-simple rings are defined as a generalization of dual codes over finite commutative semi-simple rings. Some properties of \(\delta \)-dual codes are given. We present necessary and sufficient conditions for a \(\lambda \)-constacyclic code of length n to be \(\delta \)-self-dual, \(\delta \)-self-orthogonal, \(\delta \)-dual-containing, \(\delta \)-LCD over finite commutative semi-simple rings. We also study the \(\delta \)-dual of skew \(\Theta \)-\(\lambda \)-constacyclic codes over finite commutative semi-simple rings. Among others, we also give necessary and sufficient conditions for a skew \(\Theta \)-\(\lambda \)-constacyclic code of any length n to be \(\delta \)-self-dual, \(\delta \)-self-orthogonal, \(\delta \)-dual-containing, \(\delta \)-LCD over finite commutative semi-simple rings.
Vorheriger Artikel Constructing and expressing Hermitian self-dual cyclic codes of length over
Nächster Artikel Several classes of permutation polynomials with trace functions over

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Metadaten
Titel
δ-dual codes over finite commutative semi-simple rings
verfasst von
Hai Q. Dinh
Ha T. Le
Bac T. Nguyen
Paravee Maneejuk
Publikationsdatum
20.04.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Applicable Algebra in Engineering, Communication and Computing / Ausgabe 3/2024
Print ISSN: 0938-1279
Elektronische ISSN: 1432-0622
DOI
https://doi.org/10.1007/s00200-022-00549-4

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