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Some constacyclic self-dual codes over the integers modulo 2m

机译:整数模2m上的一些恒循环自对偶码

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摘要

In this paper, we explore constacyclic self-dual codes over Z_(2m). We first characterize constacyclic self-dual codes over Z_(pm) of any length. Then we determine the structure of η-constacyclic self-dual codes over Z_(2t), where η = -1 or -1 + 2~(t-1). This structure is used to find some constacyclic self-dual codes over Z_(2m).
机译:在本文中,我们探索了Z_(2m)上的并发自对偶码。我们首先在任意长度的Z_(pm)上表征恒周期自对偶代码。然后我们确定Z_(2t)上的η常数自对偶码的结构,其中η= -1或-1 + 2〜(t-1)。此结构用于查找Z_(2m)上的一些恒循环自对偶代码。

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  • 来源
    《Finite fields and their applications》 |2012年第2期|p.258-270|共13页
  • 作者单位

    School of Mathematics, Hefei University of Technology, Hefei 230009, Anhui, PR China,National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, PR China;

    School of Mathematics, Hefei University of Technology, Hefei 230009, Anhui, PR China,National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, PR China;

    School of Mathematics, Hefei University of Technology, Hefei 230009, Anhui, PR China,Department of Mathematics, Hefei Normal University, Hefei 230601, Anhui, PR China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    constacyclic codes; dual codes; self-dual codes; generator polynomials;

    机译:并发密码;双重密码;自对码;生成多项式;

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