New Constructions of Zero-Difference Balanced Functions

被引：0
|
作者：
Lin, Zhibao [1 ,2 ]
Li, Zhengqian [2 ]
Ke, Pinhui [2 ]
机构：
[1] Minjiang Univ, Dept Math, Fuzhou 350108, Fujian, Peoples R China
[2] Fujian Normal Univ, Fujian Prov Key Lab Network Secur & Cryptol, Fuzhou 350117, Fujian, Peoples R China
来源：
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2018年 / E101A卷 / 10期
基金：
中国国家自然科学基金;
关键词：
zero-difference balanced functions; Chinese remainder theorem; frequency-hopping sequences; constant composition codes; difference systems of sets; FREQUENCY-HOPPING SEQUENCES;
D O I：
10.1587/transfun.E101.A.1719
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Zero-difference balanced (ZDB) functions, which have many applications in coding theory and sequence design, have received a lot of attention in recent years. In this letter, based on two known classes of ZDB functions, a new class of ZDB functions, which is defined on the group (Z(2e-1) x Z(n), +) is presented, where e is a prime and n = p(1)(m1) p(2)(m2) center dot center dot center dot p(k)(mk), p(i) is odd prime satisfying that e vertical bar(p(i) - 1) for any 1 <= i <= k. In the case of gcd(2(e) - 1, n) = 1, the new constructed ZDB functions are cyclic.
引用
收藏
页码：1719 / 1723
页数：5
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