New Constructions of Zero-Difference Balanced Functions

Zhibao LIN; Zhengqian LI; Pinhui KE

doi:10.1587/transfun.E101.A.1719

Regular Section

New Constructions of Zero-Difference Balanced Functions

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Keywords: zero-difference balanced functions, Chinese remainder theorem, frequency-hopping sequences, constant composition codes, difference systems of sets

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2018 Volume E101.A Issue 10 Pages 1719-1723

DOI https://doi.org/10.1587/transfun.E101.A.1719

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Abstract

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_2^e-1×ℤ_n,+) is presented, where e is a prime and n=p₁^m₁p₂^m₂…p_k^m_k, p_i is odd prime satisfying that e|(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.

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