The Study of Methods for Constructing a Family of Pseudorandom Binary Sequence Pairs Based on the Cyclotomic Class

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The Study of Methods for Constructing a Family of Pseudorandom Binary Sequence Pairs Based on the Cyclotomic Class

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- The Study of Methods for Constructing a Family of Pseudorandom Binary Sequence Pairs Based on the Cyclotomic Class
- Acta Electronica Sinica Vol. 38, Issue 7, Pages: 1608-1611(2010)
- 作者机构：
  
  燕山大学信息科学与工程学院,河北,秦皇岛,066004
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911
- Published：2010
- 稿件说明：
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FONT face, Verdana, JIN Hui-long, et al. The Study of Methods for Constructing a Family of Pseudorandom Binary Sequence Pairs Based on the Cyclotomic Class[J]. Acta Electronica Sinica, 2010, 38(7): 1608-1611.
DOI：

FONT face, Verdana, JIN Hui-long, et al. The Study of Methods for Constructing a Family of Pseudorandom Binary Sequence Pairs Based on the Cyclotomic Class[J]. Acta Electronica Sinica, 2010, 38(7): 1608-1611. DOI：

摘要

<FONT face=Verdana>本文把“分圆类”引入到序列偶的构造中，提出了一种伪随机序列偶构造的新方法——分圆类法. 利用分圆类法构造出差集偶，通过差集偶与伪随机序列偶的等价关系，进而构造出一类新的伪随机序列偶，此种序列具有很好的“0”、“1”平衡性和好的自相关度

为应用差集偶这种区组设计的方法研究伪随机序列偶提供了新的理论依据.

Abstract

<FONT face=Verdana>In this paper

the cyclotomic classes are used in the new construction of pseudorandom sequence pairs and a new method of constructing pseudorandom sequence pairs

i.e. cyclotomic classes is presented. The difference set pairs is given by the cyclotomic classes. Then the new pseudorandom sequence pairs can be constructed by using the equivalence relation between difference set pairs and pseudorandom sequence pairs. This new binary sequences has optimum balance among 0′s and 1′s. As a result

the new theoretical basis for using differences set pairs to study pseudorandom sequence pairs is provided.

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Related Institution

College of Information Science and Engineering,Yanshan University

Faculty of Mathematics and Computer Science,Hubei University

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Faculty of Mathematics and Computer ScienceHubei UniversityWuhanHubei 430062China

State Key Laboratory of Information SecurityGraduate School of the Chinese Academy of SciencesBeijing 100039China

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