• Title of article

    Optimal and perfect difference systems of sets

  • Author/Authors

    Ding، نويسنده , , Cunsheng، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    11
  • From page
    109
  • To page
    119
  • 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.
  • Keywords
    Perfect nonlinear functions , Codes for synchronization , Difference systems of sets
  • Journal title
    Journal of Combinatorial Theory Series A
  • Serial Year
    2009
  • Journal title
    Journal of Combinatorial Theory Series A
  • Record number

    1531363