Construction for Families of Binary Sequences with Low Correlation Based on Two Families of Functions

LI Sheng-hua; ZENG Xiang-yong; HU Lei; LIU He-guo

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Construction for Families of Binary Sequences with Low Correlation Based on Two Families of Functions

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- Construction for Families of Binary Sequences with Low Correlation Based on Two Families of Functions
- Acta Electronica Sinica Vol. 35, Issue 11, Pages: 2215-2219(2007)
- 作者机构：
  
  1. 湖北大学数学与计算机科学学院,湖北,武汉,430062
  2. 中科院研究生院信息安全国家重点实验室,北京,100039
  3. 湖北大学数学与计算机科学学院湖北武汉,430062
  4. 中科院研究生院信息安全国家重点实验室北京,100039
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN914.5
- Published：2007
- 稿件说明：
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LI Sheng-hua, ZENG Xiang-yong, HU Lei, et al. Construction for Families of Binary Sequences with Low Correlation Based on Two Families of Functions[J]. Acta Electronica Sinica, 2007, 35(11): 2215-2219.
DOI：

LI Sheng-hua, ZENG Xiang-yong, HU Lei, et al. Construction for Families of Binary Sequences with Low Correlation Based on Two Families of Functions[J]. Acta Electronica Sinica, 2007, 35(11): 2215-2219. DOI：

摘要

FONT face=Verdana>低相关序列集在码分多址(CDMA)扩频通信系统和密码系统中具有极其重要的作用

运用有限域上的函数族能有效地构造相关性较好的序列集.针对

≡2(mod 4)时

本文首次运用阶数为2

的有限域上的两个二次布尔函数族

构造了2

-2

个低相关序列集;这里每个序列集包含2

+1条周期为2

-1的二元序列

其最大相关值为2

/2+1

+1.这将为通信系统和密码系统提供更多可供选择的序列集.

Abstract

Families of pseudorandom sequences with low correlation are useful in a wide range of applications

such as code-division multiple access(CDMA) communications and cryptology

and the families with desired correlation can be effectively constructed by using function families over finite fields.In this paper

-2

families of binary sequences with low correlation are constructed by using two families of Boolean functions over the finite field with 2

elements

where

≡2(mod 4).There are 2

+1 binary sequences of period 2

-1 within each family

and the maximum correlation is 2

/2+1

+1.The proposed construction can provide mor

e families for CDMA communications and cryptology.

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Related Author

FONT face

Verdana

JIN Hui-long

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FONT

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HU Lei

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Related Institution

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School of Information Science and Technology, Sun Yat-sen University

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