Abstract
In this paper skew cyclic codes over the the family of rings Fq+vFq with v2 = v are studied for the first time in its generality. Structural properties of skew cyclic codes over Fq + vFq are investigated through a decomposition theorem. It is shown that skew cyclic codes over this ring are principally generated. The idempotent generators of skew-cyclic codes over Fq and Fq+vFq have been considered for the first time in literature. Moreover, a BCH type bound is presented for the parameters of these codes.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 313-322 |
| Number of pages | 10 |
| Journal | Advances in Mathematics of Communications |
| Volume | 8 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2014 |
| Externally published | Yes |
Keywords
- Codes over rings
- Skew cyclic codes
- Skew polynomial rings
ASJC Scopus subject areas
- Algebra and Number Theory
- Computer Networks and Communications
- Discrete Mathematics and Combinatorics
- Applied Mathematics