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γ-Dual Codes over Finite Commutative Chain Rings

In this article, the notion of γ-dual codes over finite chain rings is introduced as an extension of dual codes over finite chain rings. Various characteristics and properties of γ-dual… Click to show full abstract

In this article, the notion of γ-dual codes over finite chain rings is introduced as an extension of dual codes over finite chain rings. Various characteristics and properties of γ-dual codes over finite chain rings are explored. We provide both necessary and sufficient conditions for the existence of γ-self-dual codes over finite chain rings. Additionally, we investigate the γ-dual of skew ϕ-α-constacyclic codes over finite chain rings.

Keywords: dual codes; chain rings; finite commutative; codes finite; finite chain

Journal Title: Axioms
Year Published: 2024

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