Title :
Some New Classes of Zero-Difference Balanced Functions
Author :
Zhou, Zhengchun ; Tang, Xiaohu ; Wu, Dianhua ; Yang, Yang
Author_Institution :
Sch. of Math., Southwest Jiaotong Univ., Chengdu, China
Abstract :
Zero-difference balanced (ZDB) functions were introduced recently by Ding for the construction of optimal constant-composition codes, and optimal and perfect difference systems of sets. They are closely related to partitioned difference families. In this paper, we present generic constructions of ZDB functions from functions with difference-balanced property. In particular, two classes of ZDB functions with new and flexible parameters are reported. Employing these new ZDB functions, we obtain at the same time optimal (1) constant-composition codes, (2) constant-weight codes, and (3) perfect difference systems of sets, all with new and flexible parameters.
Keywords :
codes; constant-weight codes; difference-balanced property; flexible parameters; optimal constant-composition codes; perfect difference systems; zero-difference balanced functions; Decision support systems; Educational institutions; Equations; Mathematical model; Modulation; Spread spectrum communication; Constant-composition codes; constant-weight codes; difference systems of sets; partitioned difference families; zero-difference balanced function;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2171418