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