Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (20): 86-88.DOI: 10.3778/j.issn.1002-8331.2010.20.024

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Regular trinomials and shift-addition equivalent classes for GMW-sequences

QI Chuan-da1,ZHANG Fan2,HE Jun-jie1   

  1. 1.College of Mathematics and Information Science,Xinyang Normal University,Xinyang,Henan 464000,China
    2.College of Computer and Information Technology,Xinyang Normal University,Xinyang,Henan 464000,China
  • Received:2009-12-22 Revised:2010-02-01 Online:2010-07-11 Published:2010-07-11
  • Contact: QI Chuan-da

GMW-序列的正则三项式和移加等价分类

祁传达1,张 帆2,何俊杰1   

  1. 1.信阳师范学院 数学与信息科学学院,河南 信阳 464000
    2.信阳师范学院 计算机与信息技术学院,河南 信阳 464000
  • 通讯作者: 祁传达

Abstract: It is obtained that all the trinomial pairs of GMW sequences are regular trinomial pairs.GMW sequences can be classified with shift addition equivalent by the property of regular trinomials.It is proved that every class makes up of vector space by adding zero vector with same dimension,and GMW sequences have shift addition property locally in every vector space.

Key words: GMW sequences, m-sequences, trace function, regular trinomials

摘要: 得到了GMW-序列的三项式都是正则三项式,利用正则三项式特性对GMW-序列的平移等价序列进行移加等价分类,证明了每一类添加全零序列后均构成相同维数的向量空间,且每个向量空间内的GMW-序列具有移加特性。

关键词: GMW-序列, m-序列, 迹函数, 正则三项式

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