Cyclotomic Constructions of Zero-Difference Balanced Functions With Applications

被引：20
|
作者：
Zha, Zhengbang [1 ]
Hu, Lei [2 ,3 ]
机构：
[1] Luoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China
[2] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China
[3] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2015年 / 61卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Zero-difference balanced function; difference system of sets; constant composition code; cyclotomic coset; CONSTANT-COMPOSITION CODES; WEIGHT CODES; SETS; SYSTEMS; PARTITIONS; FAMILIES; SYNCHRONIZATION;
D O I：
10.1109/TIT.2014.2388231
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：1491 / 1495
页数：5
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