| 环Fq+uFq+vFq上的循环码和量子码 |
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| 引用本文： | 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, 0(2): 101-108 |
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| 作者姓名： | 胡鹏 李慧 刘修生 |
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| 作者单位： | 湖北理工学院数理学院 |
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| 基金项目： | Supported by Research Project of Hubei Polytechnic University(17xjz03A)。 |
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| 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.
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| 关 键 词： | 循环码 量子码 对偶码 |
QUANTUM CODES FROM CYCLIC CODES OVER Fq+uFq+vFq |
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| HU Peng,LI Hui,LIU Xiu-sheng. QUANTUM CODES FROM CYCLIC CODES OVER Fq+uFq+vFq[J]. Journal of Mathematics, 2021, 0(2): 101-108 |
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| Authors: | HU Peng LI Hui LIU Xiu-sheng |
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| Affiliation: | (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. |
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| Keywords: | cyclic codes quantum codes dual codes |
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