On the Correlation Distributions of the Optimal Quaternary Sequence Family u and the Optimal Binary Sequence Family v

被引：4

作者：

Li, Nian ^{[1
]}

Tang, Xiaohu ^{[1
]}

Zeng, Xiangyong ^{[2
]}

Hu, Lei ^{[3
]}

机构：

[1] SW Jiaotong Univ, Prov Key Lab Informat Coding & Transmiss, Inst Mobile Commun, Chengdu, Peoples R China

[2] Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China

[3] Chinese Acad Sci, Grad Univ, State Key Lab Informat Secur, Beijing 100049, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2011年 / 57卷 / 06期

基金：

美国国家科学基金会;

关键词：

Correlation distribution; Galois ring; Gray map; quaternary sequence; Z(4)-valued quadratic form; OPTIMAL QUADRIPHASE SEQUENCES; LARGER LINEAR SPAN;

D O I：

10.1109/TIT.2011.2132670

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Recently, new optimal Families s and u of quaternary sequences have been presented, and the optimal binary sequence Family v obtained from Family s under Gray map has been investigated as well. The two sequence Families u and v are optimal with respect to the well-known Sidelnikov bound and Welch bound, but their exact correlation distributions are not known until now. In this paper, their exact correlation distributions are completely determined in some cases by making use of exponential sums and the theory of Z(4)-valued quadratic forms.

引用

页码：3815 / 3824

页数：10

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