(1-uv)-CONSTACYCLIC CODES OVER F-p uF(p) vF(p) uvF(p)

作者:Yu Haifeng*; Zhu Shixin; Kai Xiaoshan
来源:Journal of Systems Science and Complexity, 2014, 27(4): 811-816.
DOI:10.1007/s11424-014-3241-3

摘要

Constacyclic codes are an important class of linear codes in coding theory. Many optimal linear codes are directly derived from constacyclic codes. In this paper, (1 - uv)-constacyclic codes over the local ring are studied. It is proved that the image of a (1 - uv)-constacyclic code of length n over under a Gray map is a distance invariant quasi-cyclic code of index p (2) and length p (3) n over . Several examples of optimal linear codes over from (1 - uv)-constacyclic codes over are given.