| 环Z2m上一类常循环码的挠码及其应用 |
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| 引用本文： | 朱士信,孙中华,开晓山.环Z2m上一类常循环码的挠码及其应用[J].电子学报,2016,44(8):1826-1830. |
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| 作者姓名： | 朱士信 孙中华 开晓山 |
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| 作者单位： | 1. 合肥工业大学数学学院, 安徽合肥 230009;2. 东南大学移动通信国家重点实验室, 江苏南京 210096 |
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| 基金项目： | 国家自然科学基金(No．61370089)；安徽省自然科学基金(No．1508085SQA198，No．1508085MA13，No．1408085QF116)；2014年安徽省高校优秀青年支持计划；东南大学移动通信国家重点实验室开放研究基金(2014D04) |
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| 摘 要： | 该文研究了环Z2m上任意长的（1+2λ）-常循环码的挠码及其应用.首先，给出环Z2m上（1+2λ）-常循环码的挠码.然后，利用挠码得到环Z2m上某些（1+2λ）-常循环码的齐次距离分布.同时，利用挠码证明了环Z2m上（2m－1－1）-常循环自对偶码都是类型I码，并利用这类码构造了极优的类型I码.
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| 关 键 词： | 常循环码 挠码 自对偶码 距离分布 |
| 收稿时间： | 2015-01-08 |
Torsion Codes of a Class of Constacyclic Codes over Z2m and Their Applications |
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| ZHU Shi-xin,SUN Zhong-hua,KAI Xiao-shan.Torsion Codes of a Class of Constacyclic Codes over Z2m and Their Applications[J].Acta Electronica Sinica,2016,44(8):1826-1830. |
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| Authors: | ZHU Shi-xin SUN Zhong-hua KAI Xiao-shan |
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| Affiliation: | 1. School of Mathematics, Hefei University of Technology, Hefei, Anhui 230009, China;2. National Mobile Communications Research Laboratory, Southeast University, Nanjing, Jiangsu 210096, China |
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| Abstract: | The torsion codes and their applications of (1 +2λ)-constacyclic codes over the ring Z2m of arbitrary lengths are studied.The torsion codes of (1 +2λ)-constacyclic codes over Z2m are given firstly.Then by using the torsion codes,the homogeneous distance of some (1 +2λ)-constacyclic codes is obtained and it is proved that all (2 m-1 -1 )-cons-tacyclic self-dual codes over Z2m are Type I.Some extreme Type I codes are constructed from such constacyclic codes. |
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| Keywords: | constacyclic codes torsion codes self-dual codes distance distribution |
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