A large family of sequences with low correlation

被引：0
|
作者：
Yan, Zhangti [1 ]
Gao, Qi [2 ]
Guo, Wei [3 ]
Luo, Rong [1 ]
机构：
[1] Southwest Jiaotong Univ, Sch Math, Chengdu, Peoples R China
[2] Lanzhou Technol & Business Coll, Sch Math, Lanzhou, Gansu, Peoples R China
[3] Southwest Jiaotong Univ, Sch Informat Sci & Technol, Chengdu, Peoples R China
来源：
2022 10TH INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS (IWSDA) | 2022年
关键词：
p-ary sequence; low correlation; large family; quadratic form; PERIODIC CORRELATION-PROPERTIES; P-ARY SEQUENCES; CORRELATION PROPERTY; CROSS-CORRELATION; NONBINARY SEQUENCES; DECIMATED SEQUENCES;
D O I：
10.1109/IWSDA50346.2022.9870451
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, for a prime p and positive integers n; m; e, and t such that n = 2me and t = left perpendicular m/2 right perpendicular , a new large family S of p-ary sequences of period p(n) - 1 with low correlation is constructed. It is shown that S has maximum correlation magnitude 1+p(n/2+2te-e), family size p(nt) and maximal linear span (t + 1)(n). Furthermore, based on the theory of quadratic forms over finite fields, all exact correlation values between sequences in S are determined when p = 2.
引用
收藏
页码：176 / 179
页数：4
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