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环Fq+uFq++uk-1Fq上一类重根常循环码

朱士信 李平 吴波

朱士信, 李平, 吴波. 环Fq+uFq++uk-1Fq上一类重根常循环码[J]. 电子与信息学报, 2008, 30(6): 1394-1396. doi: 10.3724/SP.J.1146.2006.02001
引用本文: 朱士信, 李平, 吴波. 环Fq+uFq++uk-1Fq上一类重根常循环码[J]. 电子与信息学报, 2008, 30(6): 1394-1396. doi: 10.3724/SP.J.1146.2006.02001
Zhu Shi-xin, Li Ping, Wu Bo. A Class of Repeated-root Constacyclic Codes over the Ring Fq+uFq++uk-1Fq[J]. Journal of Electronics & Information Technology, 2008, 30(6): 1394-1396. doi: 10.3724/SP.J.1146.2006.02001
Citation: Zhu Shi-xin, Li Ping, Wu Bo. A Class of Repeated-root Constacyclic Codes over the Ring Fq+uFq++uk-1Fq[J]. Journal of Electronics & Information Technology, 2008, 30(6): 1394-1396. doi: 10.3724/SP.J.1146.2006.02001

环Fq+uFq++uk-1Fq上一类重根常循环码

doi: 10.3724/SP.J.1146.2006.02001
基金项目: 

国家自然科学基金(60673074),教育部科学技术研究重点项目(107065),安徽省高校青年教师科研资助计划重点项目(2006jq l002zd)和合肥工业大学科研发展基金项目(061003F)资助课题

A Class of Repeated-root Constacyclic Codes over the Ring Fq+uFq++uk-1Fq

  • 摘要: 记R=Fq+uFq++uk-1Fq,G=R[x]/,且是R中可逆元。定义了从Gn到Rtn的新的Gray映射,证明了J是G上长为n的线性的x-常循环码当且仅当(J)是R上长为tn的线性的-常循环码。使用有限环理论,获得了环R上长为pe的所有的(u-1)-常循环码的结构及其码字个数。特别地,获得了环F2m+uF上长为2e的(u-1)-常循环码的对偶码的结构及其码字个数。推广了环Z2a根负循环码的若干结果。
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出版历程
  • 收稿日期:  2006-12-18
  • 修回日期:  2007-07-23
  • 刊出日期:  2008-06-19

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