中国邮电高校学报(英文) ›› 2014, Vol. 21 ›› Issue (5): 89-93.doi: 10.1016/S1005-8885(14)60336-8

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Linear complexity of quaternary sequences with odd period and low autocorrelation

柯品惠1,林昌露1,张胜元2   

  1. 1. 福建师范大学网络安全与密码技术实验室
    2. 福建师范大学数计学院
  • 收稿日期:2013-09-06 修回日期:2014-05-15 出版日期:2014-10-31 发布日期:2014-10-30
  • 通讯作者: 柯品惠 E-mail:klcoco@tom.com
  • 基金资助:

    基于群体智能的多Agent协作模型与适应性行为研究

Linear complexity of quaternary sequences with odd period and low autocorrelation

  • Received:2013-09-06 Revised:2014-05-15 Online:2014-10-31 Published:2014-10-30

摘要:  Equivalence between two classes of quaternary sequences with odd period and best known autocorrelation are proved. A lower bound on the linear complexity of these sequences is presented. It is shown that the quaternary sequences have large linear complexity to resist Reeds and Sloane algorithm attack effectively.

关键词: quaternary sequences, linear complexity, cyclotomy

Abstract:  Equivalence between two classes of quaternary sequences with odd period and best known autocorrelation are proved. A lower bound on the linear complexity of these sequences is presented. It is shown that the quaternary sequences have large linear complexity to resist Reeds and Sloane algorithm attack effectively.

Key words: quaternary sequences, linear complexity, cyclotomy