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环F_2+uF_2+vF_2上的一类重根常循环码 被引量：2

A family of repeated-root constacyclic codes over F_2+ uF_2+ vF_2
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摘要 主要研究了环R=F2+uF2+vF2上长为2k的(1+u)循环码,对该常循环码进行了分类,并给出了其计数公式. The （1＋u）-cyclic codes of length 2k over the ring R=F2＋uF2 ＋vF2 were studied, and all such codes were classified. A formula for the number of these constacyclic codes was obtained.
作者 张元婷 朱士信
机构地区 合肥工业大学数学学院
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2014年第3期207-213,共7页 JUSTC
基金 国家自然科学基金(61370089)资助
关键词 环上码 常循环码 计数公式 重根码 codes over rings constacyclic codes mass formula repeated-root codes
分类号 TN911.22 [电子电信—通信与信息系统]
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参考文献13

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共引文献15

同被引文献24

  • 1朱士信,王立启.环F_p+uF_p+vF_p+uvF_p上的一类常循环码[J].数学物理学报（A辑）,2013,33(4):696-701. 被引量：7
  • 2李平,朱士信.环F2＋uF2上长为2^e的循环码[J].电子与信息学报,2007,29(5):1124-1126. 被引量：16
  • 3Yildiz B,Karadenniz S.Linear codes over F2+uF2+vF2+uvF2[J].Designs,Codes and Cryptography,2010,54(1):61-81.
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  • 5Yildiz B,Karadenniz S.Cyclic codes over F2+uF2+v F2+uvF2[J].Designs,Codes and Cryptography,2011,58(3):221-234.
  • 6Karadenniz S,Yildiz B.(1+v)-constacyclic codes over F2+uF2+vF2+uvF2[J].Journal of the Franklin Institute,2011,348(9):2625-2632.
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  • 8Kai Xiaoshan,Zhu Shixin,Li Ping.(1+λu)-Constacyclic codes over F p[u]/u m[J].Journal of the Franklin Institute,2010,347(5):751-762.
  • 9DINH H Q,López-Permouth S R.Cyclic and negacyclic codes over finite chain rings[J].IEEE Transactions on Information Theory,2004,50(8):1728-1744.
  • 10ZHU Shixin,WANG Yu,SHI Minjia.Some results on cyclic codes over F2+vF 2[J].IEEE Transactions on Information Theory,2010,56(4):1680-1684.

引证文献2

中国科学技术大学学报
2014年 第3期

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