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

doi:10.3778/j.issn.1002-8331.2010.20.024

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.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.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

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

CLC Number:

TP309

QI Chuan-da¹，ZHANG Fan²，HE Jun-jie¹. Regular trinomials and shift-addition equivalent classes for GMW-sequences[J]. Computer Engineering and Applications, 2010, 46(20): 86-88.

祁传达¹，张帆²，何俊杰¹. GMW-序列的正则三项式和移加等价分类[J]. 计算机工程与应用, 2010, 46(20): 86-88.

[1]	QI Chuanda1，ZHANG Fan2，HE Junjie1. Multinomial relation values distribution of Kasami sequences [J]. Computer Engineering and Applications, 2011, 47(23): 104-107.
[2]	XU Xiang-yang . Cross-correlation of key m-sequences and its decimation sequence [J]. Computer Engineering and Applications, 2010, 46(16): 85-87.
[3]	QI Chuan-da¹,LI Gang². Generation trinomials of GMW-sequences [J]. Computer Engineering and Applications, 2009, 45(13): 90-92.

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

GMW-序列的正则三项式和移加等价分类

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