Designs having the parameters of projective and affine spaces

DOI10.1007/s10623-010-9429-1zbMath1225.05032OpenAlexW2050906059MaRDI QIDQ548091

Diane M. Donovan, Michael John Grannell

Publication date: 28 June 2011

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-010-9429-1

zbMATH Keywords

designaffine geometryenumerationprojective geometryflats

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) General block designs in finite geometry (51E05)

Related Items (3)

Recent results on designs with classical parameters ⋮ On the number of designs with affine parameters ⋮ Remarks on polarity designs

Cites Work

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• A new bound on the number of designs with classical affine parameters
• The number of designs with classical parameters grows exponentially
• The number of designs with geometric parameters grows exponentially
• Some non-isomorphic \((4t+4,8t+6,4t+3,2t+2,2t+1)\)-BIBD's
• Automorphisms and isomorphisms of symmetric and affine designs
• A new family of BIBDs and non-embeddable (16,24,9,6,3)-designs
• Bounds on the number of affine, symmetric, and Hadamard designs and matrices
• Exponential bounds on the number of designs with affine parameters

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