Two Classes of New Zero Difference Balanced Functions from Difference Balanced Functions and Perfect Ternary Sequences

Wei SU  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A   No.3   pp.839-845
Publication Date: 2017/03/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E100.A.839
Type of Manuscript: PAPER
Category: Coding Theory
zero difference balanced functions,  difference balanced functions,  partitioned difference families,  perfect sequences,  

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In this paper, we present two classes of zero difference balanced (ZDB) functions, which are derived by difference balanced functions, and a class of perfect ternary sequences respectively. The proposed functions have parameters not covered in the literature, and can be used to design optimal constant composition codes, and perfect difference systems of sets.