Constructions for point-regular linear spaces

DOI10.1016/S0378-3758(00)00247-0zbMath0980.05009MaRDI QIDQ5934167

Marco Buratti

Publication date: 7 November 2001

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

linear spacepairwise balanced designSteiner 2-design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (7)

Some infinite classes of optimal \({(v,\{3,4\},1,Q)}\)-OOCs with \({Q\in\{(\frac{1}{3},\frac{2}{3}),(\frac{2}{3},\frac{1}{3})\}}\) ⋮ Constructions of optimal variable-weight OOCs via quadratic residues ⋮ New optimal optical orthogonal codes by restrictions to subgroups ⋮ Some progress on the existence of 1-rotational Steiner triple systems ⋮ Existence of cyclic \((3,\lambda )\)-GDD of type \(g^v\) having prescribed number of short orbits ⋮ On singular 1-rotational Steiner 2-designs ⋮ Super-regular Steiner 2-designs

Cites Work

• From a \((G,k,1)\) to a \((C_ k\oplus G,k,1)\) difference family
• Recursive constructions for cyclic block designs
• Designs from pairs of finite fields. I: A cyclic unital U(6) and other regular Steiner 2-designs
• Composition theorems for difference families and regular planes
• Cyclotomic conditions leading to new Steiner 2-designs
• A powerful method for constructing difference families and optimal optical orthogonal codes
• Pairwise balanced designs from finite fields
• Some new BIBDS with ? = 1 and 6 ?k ? 10
• Cyclic resolvability of cyclic Steiner 2-designs
• Some new bibds with k = 6 and λ = 1
• A survey of the automorphism groups of block designs
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