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LCD and self-orthogonal twisted group codes over finite commutative chain rings

Published: July 5, 2025 | arXiv ID: 2507.04013v1

By: Samir Assuena, André Luiz Martins Pereira

Potential Business Impact:

Finds better ways to send secret messages.

Business Areas:
QR Codes Software

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.

Page Count
20 pages

Category
Mathematics:
Rings and Algebras