A Note on Two Constructions of Zero-Difference Balanced Functions

Zongxiang YI  Yuyin YU  Chunming TANG  Yanbin ZHENG  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E102-A   No.4   pp.680-684
Publication Date: 2019/04/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E102.A.680
Type of Manuscript: LETTER
Category: Cryptography and Information Security
Keyword: 
constant composition code,  constant weight code,  difference system of sets,  frequency-hopping sequence,  zero-difference balanced function,  

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Summary: 
Notes on two constructions of zero-difference balanced (ZDB) functions are made in this letter. Then ZDB functions over Ze×∏ki=0 Fqi are obtained. And it shows that all the known ZDB functions using cyclotomic cosets over Zn are special cases of a generic construction. Moreover, applications of these ZDB functions are presented.