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Skew G-codes.
- 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]
- Subjects :
- *FINITE rings
*CYCLIC codes
*FINITE groups
*COMMUTATIVE rings
*GROUP rings
Subjects
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