Han Cai, Zhengchun Zhou, Xiaohu Tang, Ying Miao: Zero-Difference Balanced Functions With New Parameters and Their Applications

发表刊物：IEEE Transactions on Information Theory

摘要：As an optimal combinatorial object, zero-difference balanced (ZDB) functions introduced by Ding in 2008, are a generalization of the well-known perfect nonlinear functions. ZDB functions have received much attention in recent years due to its important applications in coding theory and sequence design. One objective of this paper is to present a construction of ZDB functions based on a kind of generalized cyclotomy. It generates ZDB functions over cyclic group with new parameters which can not be produced by earlier constructions. Another objective of this paper is to employ these ZDB functions to obtain at the same time: 1) optimal constant-composition codes; 2) perfect difference systems of sets; and 3) optimal frequency-hopping sequences, all with new parameters.

论文类型：SCI

卷号：63

期号：7

页面范围：4379-4387

是否译文：否

发表时间：2017-07-15

发布期刊链接：https://ieeexplore.ieee.org/document/7865985