Some New Classes of Zero-Difference Balanced Functions

被引：34
|
作者：
Zhou, Zhengchun [1 ,2 ]
Tang, Xiaohu [3 ]
Wu, Dianhua [4 ]
Yang, Yang [3 ]
机构：
[1] SW Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China
[2] Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R China
[3] SW Jiaotong Univ, Inst Mobile Commun, Chengdu 610031, Peoples R China
[4] Guangxi Normal Univ, Dept Math, Guilin 541004, Guangxi, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2012年 / 58卷 / 01期
基金：
美国国家科学基金会;
关键词：
Constant-composition codes; constant-weight codes; difference systems of sets; partitioned difference families; zero-difference balanced function; CONSTANT-COMPOSITION CODES; D-HOMOGENEOUS FUNCTIONS; WEIGHT CODES; SETS; CONSTRUCTIONS; SYSTEMS; PARTITIONS; SYNCHRONIZATION; FAMILIES;
D O I：
10.1109/TIT.2011.2171418
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：139 / 145
页数：7
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