1. Skew G-codes.
- Author
-
Dougherty, S. T., Şahinkaya, Serap, and Yıldız, Bahattin
- Subjects
- *
FINITE rings , *CYCLIC codes , *FINITE groups , *COMMUTATIVE rings , *GROUP rings - 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]
- Published
- 2023
- Full Text
- View/download PDF