数学杂志2021，Vol.41Issue(2)：101-108,8.
环Fq+uFq+vFq上的循环码和量子码
QUANTUM CODES FROM CYCLIC CODES OVER Fq+uFq+vFq
摘要
Abstract
In this paper,we investigate the method of constructing quantum codes from cyclic codes over the ring R = Fq+uFq+vFq(u2 = u,v2 = v,uv = vu = 0).By means of the generator polynomials and some decomposition of cyclic codes and their dual over R,we give a necessary and sufficient condition of the cyclic codes over R to be construct the quantum codes.Also as an application,we obtain new non binary quantum codes from those classes of cyclic codes.关键词
循环码/量子码/对偶码Key words
cyclic codes/quantum codes/dual codes分类
数理科学引用本文复制引用
胡鹏,李慧,刘修生..环Fq+uFq+vFq上的循环码和量子码[J].数学杂志,2021,41(2):101-108,8.基金项目
Supported by Research Project of Hubei Polytechnic University(17xjz03A). （17xjz03A）
