Article ID Journal Published Year Pages File Type
4656048 Journal of Combinatorial Theory, Series A 2009 11 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics