δ-dual codes over finite commutative semi-simple rings.

Autor: Dinh, Hai Q., Le, Ha T., Nguyen, Bac T., Maneejuk, Paravee
Předmět:
Zdroj: Applicable Algebra in Engineering, Communication & Computing; May2024, Vol. 35 Issue 3, p315-335, 21p
Abstrakt: In this paper, δ -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 δ -dual codes are given. We present necessary and sufficient conditions for a λ -constacyclic code of length n to be δ -self-dual, δ -self-orthogonal, δ -dual-containing, δ -LCD over finite commutative semi-simple rings. We also study the δ -dual of skew Θ - λ -constacyclic codes over finite commutative semi-simple rings. Among others, we also give necessary and sufficient conditions for a skew Θ - λ -constacyclic code of any length n to be δ -self-dual, δ -self-orthogonal, δ -dual-containing, δ -LCD over finite commutative semi-simple rings. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index