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Three New Families of Zero-Difference Balanced Functions With Applications.

Authors :
Ding, Cunsheng
Wang, Qi
Xiong, Maosheng
Source :
IEEE Transactions on Information Theory; Apr2014, Vol. 60 Issue 4, p2407-2413, 7p
Publication Year :
2014

Abstract

Zero-difference balanced (ZDB) functions integrate a number of subjects in combinatorics and algebra, and have many applications in coding theory, cryptography, and communications engineering. In this paper, three new families of ZDB functions are presented. The first construction gives ZDB functions defined on the abelian groups (GF(q1)\times,\cdots,\timesGF(qk),+) with new and flexible parameters. The other two constructions are based on 2-cyclotomic cosets and yield ZDB functions on \BBZn with new parameters. The parameters of optimal constant composition codes, optimal, and perfect difference systems of sets obtained from these new families of ZDB functions are also summarized. [ABSTRACT FROM PUBLISHER]

Details

Language :
English
ISSN :
00189448
Volume :
60
Issue :
4
Database :
Complementary Index
Journal :
IEEE Transactions on Information Theory
Publication Type :
Academic Journal
Accession number :
94957031
Full Text :
https://doi.org/10.1109/TIT.2014.2306821