| 一类四元环上常循环码是自由码的充要条件 |
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| 引用本文： | 李平,朱士信.一类四元环上常循环码是自由码的充要条件[J].数学杂志,2008,28(2):124-128. |
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| 作者姓名： | 李平 朱士信 |
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| 作者单位： | 合肥工业大学,应用数学系,安徽,合肥,230009 |
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| 基金项目： | 国家自然科学基金
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Key Scientific Research Award Program for Young Teachers in Higher Education Institutions of Anhui Province
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Natural Science Foundation of Anhui Provincial Education Department
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Scientific Research and Development Foundation of Hefei University of Technology |
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| 摘 要： | 本文研究了环F2 uF2上的奇长度的循环码和(1 u)-循环码.运用代数方法,得到了F2 uF2上的循环码和(1 u)-循环码成为自由码的几个充要条件.推广了Bonnecaze(1999)和Aydin(2002)的关于自由码的结果.
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| 关 键 词： | 循环码 (1 u)-循环码 自由码 非自由码 幂等生成元 cyclic codes (1 u)-cyclic codes free codes nonfree codes idempotent generator 四元环 常循环码 条件 FREE FOUR ORDER RINGS KIND CODES results free algebraic method necessary conditions codes length ring study cyclic paper 结果 |
| 文章编号： | 0255-7797（2008）02-0124-05 |
| 收稿时间： | 2005-09-21 |
| 修稿时间： | 2006-04-19 |
SUFFICIENT AND NECESSARY CONDITIONS FOR CONSTACYCLIC CODES OVER A KIND OF RINGS OF ORDER FOUR TO BE FREE |
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| LI Ping,ZHU Shi-xin.SUFFICIENT AND NECESSARY CONDITIONS FOR CONSTACYCLIC CODES OVER A KIND OF RINGS OF ORDER FOUR TO BE FREE[J].Journal of Mathematics,2008,28(2):124-128. |
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| Authors: | LI Ping ZHU Shi-xin |
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| Abstract: | In this paper,we study cyclic and (1 u)-cyclic codes of odd length over the ring F2 uF2.By using algebraic method we give several sufficient and necessary conditions for cyclic and (1 u)-cyclic codes over F2 uF2 to be free.It generalizes the results about free codes of Bonnecaze (1999) and Aydin (2002) |
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| Keywords: | cyclic codes (1 u)-cyclic codes free codes nonfree codes idempotent generator |
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