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) |
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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