Article

Metrika

, Volume 68, Issue 1, pp 99-110

A general construction of E(s 2)-optimal large supersaturated designs

  • C. KoukouvinosAffiliated withDepartment of Mathematics, National Technical University of Athens Email author 
  • , P. MantasAffiliated withDepartment of Mathematics, National Technical University of Athens
  • , K. MylonaAffiliated withNational Statistical Service of Greece

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Abstract

A general method for construction of E(s 2)-optimal, two-level supersaturated designs (SSDs) with the equal occurrence property, from supplementary difference sets is introduced. It is proved that SSDs constructed in this way are E(s 2)-optimal. Comparisons are made with previous works and it is shown that the proposed method gives promising results for the construction of E(s 2)-optimal large SSDs.

Keywords

Cyclotomy Difference sets E(s 2)-optimality Supersaturated designs Supplementary difference sets