Super-simple (υ, 5, 2)-designs

Authors:
Hans-Dietrich O. F. Gronau;Donald L. Kreher;Alan C. H. Ling
Affiliations:
Universität Rostock, Fachbereich Mathematik, 18051 Rostock, Germany;Department of Mathematical Sciences, Michigan Technological University, Houghton, MI;Department of Computer Science, University of Vermont, Burlington, VT
Venue:
Discrete Applied Mathematics - Optimal discrete structure and algorithms (ODSA 2000)
Year:
2004

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Abstract

In this paper we study the spectrum of super-simple (ν, 5, 2)-designs. We show that a super-simple (ν, 5, 2)-design exists if and only if ν≡1 or 5 (mod 10), ν ≠ 5, 15, except possibly when ν∈ {75, 95, 115, 135, 195, 215, 231, 285, 365, 385, 515}.