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New Constructions of Zero-Difference Balanced Functions
Zhibao LIN Zhengqian LI Pinhui KE
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2018/10/01
Online ISSN: 1745-1337
Type of Manuscript: LETTER
Category: Coding Theory
zero-difference balanced functions, Chinese remainder theorem, frequency-hopping sequences, constant composition codes, difference systems of sets,
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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 (Z2e-1×Zn,+) is presented, where e is a prime and n=p1m1p2m2…pkmk, pi is odd prime satisfying that e|(pi-1) for any 1≤i≤k . In the case of gcd(2e-1,n)=1, the new constructed ZDB functions are cyclic.