计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (16): 85-87.DOI: 10.3778/j.issn.1002-8331.2010.16.024

• 网络、通信、安全 • 上一篇    下一篇

密钥m序列与其采样序列的互相关性

许向阳   

  1. 长沙大学 计算机科学与技术系,长沙 410003
  • 收稿日期:2009-12-02 修回日期:2010-03-11 出版日期:2010-06-01 发布日期:2010-06-01
  • 通讯作者: 许向阳

Cross-correlation of key m-sequences and its decimation sequence

XU Xiang-yang
  

  1. Department of Computer Science and Technology,Changsha University,Changsha 410003,China
  • Received:2009-12-02 Revised:2010-03-11 Online:2010-06-01 Published:2010-06-01
  • Contact: XU Xiang-yang

摘要: 研究了GFp)上周期为pn-1的m序列(ai)与它的采样序列(adi)的互相关函数。对于d=(pn+1)/(p+1)+(pn-1)/2,n为奇数且p≡1(mod 4)时,给出了互相关函数的绝对值的上界,从而对Muller的工作进行了较好的推广。

Abstract: When the period is pn-1,the cross-correlation function of m-sequence (ai) on finite field GFp) and its decimation sequence (adi) is considered.And this paper gives absolute value of the cross correlation for decimation d=(pn+1)/(p+1)+(pn-1)/2,n odd,p≡1(mod 4).

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