Linear Skew Cyclic Codes over 𝔽qS

In this study, we focus on skew cyclic codes over the family of rings 𝔽 S where q is a power of a prime number and S = 𝔽 + v𝔽 with = . Structural properties of these codes are studied in detail. Obtained results lead us to characterize 𝔽 S-linear skew cyclic codes. All the minimal spanning sets and...

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Bibliographic Details
Published in:	Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică Vol. 32; no. 3; pp. 173 - 192
Main Author:	Yildirim, Tulay
Format:	Journal Article
Language:	English
Published:	Sciendo 01-10-2024
Subjects:	94B05 94B15 Codes over rings Gray map Linear codes Mixed alphabets Skew polynomial rings
Online Access:	Get full text
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Summary:	In this study, we focus on skew cyclic codes over the family of rings 𝔽 S where q is a power of a prime number and S = 𝔽 + v𝔽 with = . Structural properties of these codes are studied in detail. Obtained results lead us to characterize 𝔽 S-linear skew cyclic codes. All the minimal spanning sets and generators of these codes are presented. Furthermore, some good 𝔽 -linear codes are obtained as images of the 𝔽 S-linear skew cyclic codes under the Gray mapping.
ISSN:	1844-0835
DOI:	10.2478/auom-2024-0035