<i>γ</i>-Dual Codes over Finite Commutative Chain Rings

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

• constacyclic codes
• dual codes
• chain rings
• skew codes