Optimal and perfect difference systems of sets

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:116

Article

Ding, Cunsheng

关键词: Difference systems of sets;    Codes for synchronization;    Perfect nonlinear functions;   

DOI  :  10.1016/j.jcta.2008.05.007

来源: Elsevier

【 摘 要 】

Difference systems of sets (DSS) were introduced in 1971 by Levenstein for the construction of codes for synchronization, and are closely related to cyclic difference families. In this paper, algebraic constructions of difference systems of sets using functions with optimum nonlinearity are presented. All the difference systems of sets constructed in this paper are perfect and optimal. One conjecture on difference systems of sets is also presented. (C) 2008 Elsevier Inc. All rights reserved

【 授权许可】

Free