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环M_(n×s)(F_2+uF_2)上线性码关于RT距离的MacWilliams恒等式 被引量:2

MacWilliams identities of linear codes over ring M_(n×s)(F_2+uF_2) with respect to the RT metric
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摘要 定义了环Mn×s(F2+uF2)上码的Lee完全ρ重量计数器和精确完全ρ重量计数器,给出了环Mn×s(F2+uF2)上线性码关于这两种重量计数器相应的MacWilliams恒等式. The definitions of the Lee complete p weight enumerator and the exact complete p weight enumerator over Mn×s (F2-uF2 ) were given, and the Macwilliams identities with respect to this RT metric for the two weight enumerators of linear codes over MMn×s(F2-uF2) were given respectively.
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2008年第9期1075-1080,共6页 JUSTC
基金 国家自然科学基金(60673074) 教育部科学技术研究重点项目(107065)资助
关键词 RT距离 重量计数器 MACWILLIAMS恒等式 线性码 对偶码 RT metric weight enumerator MacWilliams identity linear code dual code
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参考文献10

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同被引文献10

  • 1Rosenbloom M Y, Tsfasman M A. Codes for the m- metric [ J ]. Journal of Problems Information Transmission, 1997, 33(1): 45-52.
  • 2Shi M J, Sole P, Wu B. Cyclic codes and the weight enumerator of linear codes over F2 +oF2 +v2F2 [J]. Applied and Computational Mathematics, 2013, 12(2) : 247-255.
  • 3Siap I. The complete weight enumerator for codes over Mnxs(Fq) [J]. Lecture Notes on Computer Sciences, 2001, 2260(8): 20-26.
  • 4Slap I. A MacWilliams type identity [J]. Turkey Journal of Mathematics, 2002, 26(4): 465-473.
  • 5Siap I, Ozen M. The complete weight enumerator for codes over Mnxs(R)[J]. Applied Mathematics Letters, 2004, 17(1): 65-69.
  • 6Liu Y, Shi M J. The MacWilliams identity of linear codes with respect to RT metric over Mnxs (Fp +uFp + vFp + uvFp ) with respect to RT metric [C]// The International Conference on Computers and Information Processing Technologies. Shanghai, China: IEEE Press, 2014.
  • 7Dougherty S T, Yildiz B, Karadeniz S. Codes over Rk, gray maps and their binary images[J]. Finite Fields and Their Applications, 2011, 17(3): 205-219.
  • 8许和乾,朱士信.域F_2上线性码的广义Rosenbloom-Tsfasman重量[J].合肥工业大学学报(自然科学版),2009,32(2):278-281. 被引量:2
  • 9朱士信,许和乾,施敏加.环Z_4上线性码关于RT距离的MacWilliams恒等式[J].电子学报,2009,37(5):1115-1118. 被引量:14
  • 10许和乾,杜炜.关于ρ度量的一个MacWilliams恒等式[J].计算机工程,2012,38(19):122-125. 被引量:1

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