A trace representation of binary Jacobi sequences

被引：18
作者：
Dai, Zongduo [2 ]
Gong, Guang [3 ]
Song, Hong-Yeop [1 ]
机构：
[1] Yonsei Univ, Sch Elect & Elect Engn, Seoul 120749, South Korea
[2] Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100039, Peoples R China
[3] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada
来源：
DISCRETE MATHEMATICS | 2009年 / 309卷 / 06期
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
Cyclic difference sets; Twin-prime cyclic difference sets; Trace representations; (discrete) Fourier spectral sequence; Defining pairs; Binary sequences with two-level autocorrelation; Binary Hadamard sequences; DIFFERENCE SETS;
D O I：
10.1016/j.disc.2008.02.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We determine the trace function representation, or equivalently, the Fourier spectral sequences of binary Jacobi sequences of period pq, where p and q are two distinct odd primes. This includes the twin-prime sequences of period p(p + 2) whenever both p and p + 2 are primes, corresponding to cyclic Hadamard difference sets. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：1517 / 1527
页数：11
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