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有限链环上一类常循环码的距离

袁健 朱士信 开晓山

袁健, 朱士信, 开晓山. 有限链环上一类常循环码的距离[J]. 电子与信息学报, 2017, 39(3): 754-757. doi: 10.11999/JEIT160392
引用本文: 袁健, 朱士信, 开晓山. 有限链环上一类常循环码的距离[J]. 电子与信息学报, 2017, 39(3): 754-757. doi: 10.11999/JEIT160392
YUAN Jian, ZHU Shixin, KAI Xiaoshan. On Distances of Family of Constacyclic Codes over Finite Chain Rings[J]. Journal of Electronics & Information Technology, 2017, 39(3): 754-757. doi: 10.11999/JEIT160392
Citation: YUAN Jian, ZHU Shixin, KAI Xiaoshan. On Distances of Family of Constacyclic Codes over Finite Chain Rings[J]. Journal of Electronics & Information Technology, 2017, 39(3): 754-757. doi: 10.11999/JEIT160392

有限链环上一类常循环码的距离

doi: 10.11999/JEIT160392
基金项目: 

国家自然科学基金(61370089, 60973125),东南大学国家移动通信研究实验室开放研究基金(2014D04),安徽省自然科学基金(1508085SQA198)

On Distances of Family of Constacyclic Codes over Finite Chain Rings

Funds: 

The National Natural Science Foundation of China (61370089, 60973125), The Open Research Fund of National Mobile Communications Research Laboratory, Southeast University (2014D04), The Natural Science Foundation of Anhui Province (1508085SQA198)

  • 摘要: 在编码理论中,线性码的(最小)距离是一个极其重要的参数,它决定了码的纠错能力。设R为任一有限交换链环, a为其最大理想的一个生成元, R*为R的乘法单位群。对于任意wR*,该文利用R上任意长度的(1+aw)-常循环码的生成结构,通过计算这类码的高阶挠码,得到了R上任意长度的(1+aw)-常循环码的汉明距离,并研究了这类常循环码的齐次距离。这给编译有限链环上此类常循环码提供了重要的理论依据。
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出版历程
  • 收稿日期:  2016-04-22
  • 修回日期:  2016-09-23
  • 刊出日期:  2017-03-19

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