[1]王锦玲,雷玉印,杨娜,等.Jennings复合序列的一些补注[J].郑州大学学报(工学版),2007,28(02):110-113.[doi:10.3969/j.issn.1671-6833.2007.02.028]
　WANG Jinling,Lei Yuyin,Yang Na,et al.Some additions to Jennings composite sequences[J].Journal of Zhengzhou University (Engineering Science),2007,28(02):110-113.[doi:10.3969/j.issn.1671-6833.2007.02.028]

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Jennings复合序列的一些补注()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

28

期数:

2007年02期

页码:

110-113

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Some additions to Jennings composite sequences

作者:

王锦玲; 雷玉印; 杨娜; 等.

郑州大学,数学系,河南,郑州,450001, 郑州大学,数学系,河南,郑州,450001, 郑州大学,数学系,河南,郑州,450001, 郑州大学,数学系,河南,郑州,450001

Author(s):

WANG Jinling; Lei Yuyin; Yang Na; etc

关键词:

周期;  线性复杂度;  特征多项式;  复合序列;  重量复杂度

Keywords:

Period;  linear complexity;  characteristic polynomials;  composite sequences;  Weight complexity

DOI:

10.3969/j.issn.1671-6833.2007.02.028

文献标志码:

A

摘要:

引入了一组向量,用真值描述的方法对Jennings复合序列的定义进行了新的推导,并对该序列的有关周期、线性复杂度的定理的证明作了简化和补充.为了度量序列的稳定性,引入了重量复杂度WCk(u∞),给出了它的1-重量复杂度和2-重量复杂度下限;当1=k＜m时,下限为(2m-1)(2n-1)-n(m+1);当2≤k＜m时,下限为(2m-1)(2n-1)-nk∑i=0Cim;当k=m时,下限为(2m-1)(2n-1)-n(2m-1).分析了该序列线性复杂度的稳定性.

Abstract:

A set of vectors is introduced, the definition of Jennings composite sequence is newly derived by the method of truth value description, and the proof of the theorem of period and linear complexity of the sequence is simplified and supplemented. In order to measure the stability of the sequence, the weight complexity WCk(u∞) is introduced, and its lower limits of 1-weight complexity and 2-weight complexity are given. When 1=k

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