A New Construction of Zero-Difference Balanced Functions and Its Applications

作者：Cai, Han^*; Zeng, Xiangyong; Helleseth, Tor; Tang, Xiaohu; Yang, Yang

来源：IEEE Transactions on Information Theory, 2013, 59(8): 5008-5015.

DOI：10.1109/TIT.2013.2255114

• Constant composition code
• constant weight code
• difference system of sets
• generalized cyclotomy
• zero-difference balanced function

In this paper, a new construction of zero-difference balanced functions defined on Z(v) is given, where v 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.

• 出版日期2013-8
• 单位中国科学院信息工程研究所; 西南交通大学; 湖北大学