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Applicable Algebra in Engineering, Communication and Computing

15-09-2024 | Original Paper

Double skew cyclic codes over \(\mathbb {F}_q+v\mathbb {F}_q\)

Authors: Ashutosh Singh, Tulay Yildirim, Om Prakash

Published in: Applicable Algebra in Engineering, Communication and Computing

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Abstract

In order to get a better code rate, this study focuses on the construction of double skew cyclic codes over the ring \(\textrm{R}= \mathbb {F}_q+v\mathbb {F}_q\) with \(v^2=v\), where q is a prime power. We investigate the generator polynomials, minimal spanning sets, generator matrices, and the dual codes over the ring \(\textrm{R}\). As an implementation, the obtained results are illustrated with some suitable examples. Here, we introduce a construction for new generator matrices and thus achieve codes with improved parameters compared to those available in the existing literature. Finally, we tabulate our obtained codes over the ring \(\textrm{R}\).

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Title: Double skew cyclic codes over
Authors: Ashutosh Singh
Tulay Yildirim
Om Prakash
Publication date: 15-09-2024
Publisher: Springer Berlin Heidelberg
Published in: Applicable Algebra in Engineering, Communication and Computing
Print ISSN: 0938-1279
Electronic ISSN: 1432-0622
DOI: https://doi.org/10.1007/s00200-024-00668-0

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