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基于广义Z_4线性Calderbank-McGuire码的对偶

ON THE DUAL OF GENERALIZED CALDERBANK-MCGUIRE CODE OVER Z_4
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摘要 本文讨论了广义Z4线性Calderbank-McGuire码的对偶的迹表示及2-adic表示, 同时给出了其最小Lee权估计. In this paper, the trace representation and 2-adic representation of dual of generalized Calderbank-McGuire code over Z4 are discussed. Futhermore,the minimum Lee distance estimates of them are presented.
作者 胡万宝
出处 《系统科学与数学》 CSCD 北大核心 2004年第2期271-277,共7页 Journal of Systems Science and Mathematical Sciences
基金 安徽省教育厅基金(2004KJ271)资助课题.
关键词 Z4线性Calderbank-McGuire码 对偶 GALOIS环 Z4 linear code, galois ring, weight.
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参考文献6

  • 1[1]Wan Zhexian. Quaternary Codes. World Scientific, Singapore,1997.
  • 2[2]Calderbank A R and McGuire G. Construction of a (64, 237, 12)code via Galois rings. Des. Codes.Cryptogr., 1997, 10(2): 157-166.
  • 3[3]Calderbank A R, McGuire G, Kumar P V and Helleseth T. Cyclic codes over Z4, locator polylomials and Newton's identities. IEEE Trans. Inform. Theory, 1996, 42(7): 217-226.
  • 4[4]Brouwer A E, Verhoeff T. An updated table of minimum distance bounds for binary linear codes.IEEE Trans. Inform. Theory, 1993, 39(3): 662-887.
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