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Skew G-codes.

Authors :
Dougherty, S. T.
Şahinkaya, Serap
Yıldız, Bahattin
Source :
Journal of Algebra & Its Applications. Feb2023, Vol. 22 Issue 2, p1-19. 19p.
Publication Year :
2023

Abstract

We describe skew G-codes, which are codes that are the ideals in a skew group ring, where the ring is a finite commutative Frobenius ring and G is an arbitrary finite group. These codes generalize many of the well-known classes of codes such as cyclic, quasicyclic, constacyclic codes, skew cyclic, skew quasicyclic and skew constacyclic codes. Additionally, using the skew G-matrices, we can generalize almost all the known constructions in the literature for self-dual codes. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02194988
Volume :
22
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Algebra & Its Applications
Publication Type :
Academic Journal
Accession number :
161546590
Full Text :
https://doi.org/10.1142/S0219498823500561