Skew Cyclic Codes over Fq+uFq+...+uk-1Fq
| Main Authors: | Jing Li, Xiuli Li |
|---|---|
| Format: | Article |
| Bahasa: | eng |
| Terbitan: |
, 2017
|
| Online Access: |
https://zenodo.org/record/1340326 |
Daftar Isi:
- This paper studies a special class of linear codes, called skew cyclic codes, over the ring R= Fq+uFq+...+uk-1Fq, where q is a prime power. A Gray map ɸ from R to Fq and a Gray map ɸ' from Rn to Fnq are defined, as well as an automorphism Θ over R. It is proved that the images of skew cyclic codes over R under map ɸ' and Θ are cyclic codes over Fq, and they still keep the dual relation.