LCD and self-orthogonal twisted group codes over finite commutative chain rings
Samir Assuena, Andr\'e Luiz Martins Pereira
TL;DR
This paper studies Galois LCD constacyclic group codes over finite commutative chain rings, characterizing their structure and identifying good codes using twisted group ring methods.
Contribution
It provides a characterization of Galois LCD constacyclic codes over finite commutative chain rings via idempotent generators and involution, introducing new code constructions.
Findings
Characterization of Galois LCD codes using idempotent generators
Identification of good LCD codes over finite chain rings
Application of twisted group ring structures to code analysis
Abstract
In this paper, we shall study k-Galois LCD constacyclic group codes over finite commutative chain rings with identity. In particular, we shall characterize Galois LCD constacyclic codes over finite commutative chain ring with identity in terms of its idempotent generators and the classical involution using the twisted group ring structures and find some good LCD codes.
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