| 摘要: |
| 本文研究了环R=Fq+uFq+vFq（u2=u，v2=v，uv=vu=0）上的循环码构造量子码的方法.利用环R上循环码的分解与生成多项式，给出了R上一个循环码可以构造量子码的一个充要条件.作为这类循环码的应用，得到了新的非二元量子码. |
| 关键词: 循环码 量子码 对偶码 |
| DOI： |
| 分类号:O157.4 |
| 基金项目:Supported by Research Project of Hubei Polytechnic University (17xjz03A). |
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| QUANTUM CODES FROM CYCLIC CODES OVER Fq+uFq+vFq |
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HU Peng, LI Hui, LIU Xiu-sheng
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School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, China
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| 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. |
| Key words: cyclic codes quantum codes dual codes |
