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.
Original language | English (US) |
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Journal | Journal of Algebra and Its Applications |
DOIs | |
State | Accepted/In press - 2020 |
Keywords
- G -codes
- Self-dual codes
- Skew codes
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics