Skew Constacyclic and LCD Codes over \mathbbF_q+v \mathbbF_q

2019/02/22 by Ranya Djihad Boulanouar, Boulanouar, Ranya D., Aicha Batoul +1
Computer Science · Engineering · #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1902.08557

openalex publication_date 2019/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to give conditions for the equivalency between skew constacyclic codes, skew cyclic codes and skew negacyclic codes defined over semi-local rings. Also, we provide construction and an enumeration of Euclidean and Hermitian skew LCD cyclic codes over \mathbbF_p^t+ v \mathbbF_p^t . Several optimal LCD codes are obtained from Gray images of LCD skew codes over semi-local rings.

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