Title :
Cyclotomic Constructions of Zero-Difference Balanced Functions With Applications
Author :
Zhengbang Zha ; Lei Hu
Author_Institution :
Sch. of Math. Sci., Luoyang Normal Univ., Luoyang, China
Abstract :
Based on a recent work of Ding, Wang, and Xiong, we present some cyclotomic constructions of zero-difference balanced (ZDB) functions, which interpret the previous construction proposed by Cai, Zeng, Helleseth, Tang, and Yang. The resulted ZDB functions can be used to generate optimal constant composition codes and perfect difference systems of sets with new parameters.
Keywords :
codes; ZDB functions; cyclotomic constructions; optimal constant composition codes; zero-difference balanced functions; Decision support systems; Educational institutions; Information theory; Mathematics; Spread spectrum communication; Synchronization; Zinc; Zero-difference balanced function; constant composition code; cyclotomic coset; difference system of sets;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2014.2388231
