Some New Classes of Zero-Difference Balanced Functions
Some New Classes of Zero-Difference Balanced Functions
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DOI：
10.1109/tit.2011.2171418
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发表时间：
2012
影响因子：
2.5
通讯作者：
Zhengchun Zhou;Xiaohu Tang;Dianhua Wu;Yang Yang-Yang
中科院分区：
文献类型：
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作者：
Zhengchun Zhou;Xiaohu Tang;Dianhua Wu;Yang Yang-Yang
Ding最近引入了零差分平衡函数（ZDB），用于构造最优常数组合码、最优集差分系统和最优集差分系统。它们与分家异科关系密切。本文从差分平衡性质的函数出发，给出了ZDB函数的一般构造。特别地，报告了两类具有新的灵活参数的ZDB函数。利用这些新的ZDB函数，我们同时得到了最优的(1)常组合码，(2)常权重码，(3)集的完美差分系统，它们都具有新的灵活的参数。
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.