Open Science Research Excellence

Xiuli Li

Publications

1

Publications

1
10007567
Skew Cyclic Codes over Fq+uFq+…+uk-1Fq
Abstract:

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.

Keywords:
Skew cyclic code, gray map, automophism, cyclic code.