Title :
A New Construction of Zero-Difference Balanced Functions and Its Applications
Author :
Han Cai ; Xiangyong Zeng ; Helleseth, Tor ; Xiaohu Tang ; Yang Yang
Author_Institution :
Fac. of Math. & Comput. Sci., Hubei Univ., Wuhan, China
Abstract :
In this paper, a new construction of zero-difference balanced functions defined on is given, where is an odd positive integer. Based on the generic constructions proposed by Ding, optimal constant composition codes and perfect difference systems of sets with new parameters can be generated from the zero-difference balanced functions constructed in this paper.
Keywords :
encoding; optimal constant composition code; perfect difference system; zero-difference balanced function; Computer aided instruction; Computer science; Educational institutions; Encoding; Spread spectrum communication; Vectors; Constant composition code; constant weight code; difference system of sets; generalized cyclotomy; zero-difference balanced function;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2255114