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环F_(p^m)+uF_(p^m)+…+u^(k-1)F_(p^m)上常循环码的等价性 被引量：4

On the Equivalence of Constacyclic Codes over the Ring F_(p^m)+ uF_(p^m)+ … + u^(k-1)F_(p^m)
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摘要 研究了环Fpm+uFpm+…+uk-1Fpm上任意长度的常循环码的等价性,利用等价性给出了该环上一些常循环码的结构. The equivalence of constacyclic codes of arbitrary length over the ring Fp^m ＋ uFp^m ＋ … ＋uk-1Fp^m was studied,and based on which,the structure of some constacyclic codes was determined.
作者 常晓鹏 孔波 郑喜英
机构地区 河南教育学院信息技术系 河南教育学院数学与统计学院 黄河科技学院信息工程学院
出处 《郑州大学学报（理学版）》 CAS 北大核心 2014年第2期16-20,共5页 Journal of Zhengzhou University:Natural Science Edition
基金 河南省科技计划项目 编号122300410229 河南省教育厅科学技术研究重点项目 编号12B110017 14B110024
关键词 常循环码 循环码 对偶码 constacyclic code cyclic code dual code
分类号 O157.4 [理学—基础数学]
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参考文献9

二级参考文献65

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共引文献29

同被引文献34

  • 1DOUGHERTY S T, KARADENIZ S, YILDIZ B. Cyclic codes over Rk [ J]. Des Codes Cryptogr,2012, 63 : 113 - 126.
  • 2KAI XIAOSHAN, ZHU SHIXIN, WANG LIQI. A family of eonstacyclie codes over F2 + ttF2 + vF: + uvF2 [ J]. J Syst Sei Complex. 2012, 25 1 032-1 040.
  • 3CHEN BOCONG, FAN YUN, LIN LIREN, LIU HONGWEI. Constacyclic codes over finite fields[ J]. Finite Fields and Their Applications,2012 18:1217-1 231.
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  • 8Karadeniz S, Yildiz B. ( 1 + v) -constacyclic codes over F2 + uF2 + vF2 + uvF2 [ J ]. Journal of Franklin Institute, 2011,348 (9) : 2625 - 2632.
  • 9Chen Bocong, Fan Yun, Lin Liren, et al. Constacyclic codes over finite fields [ J ]. Finite Fields and Their Applications, 2012, 18(6) : 1217 - 1231.
  • 10Dinh H Q. Repeated-root constacyclic codes of length 2p' [ J ]. Finite Fields and Their Applications, 2012, 18 ( 1 ) : 133 - 143.

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郑州大学学报（理学版）
2014年 第2期

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