The characterization problem for designs with the parameters of \(\mathrm{AG}_d(n,q)\)

DOI10.1007/S00493-014-3212-2zbMath1399.05012OpenAlexW2206020722MaRDI QIDQ1701393

Klaus Metsch, Dieter Jungnickel

Publication date: 22 February 2018

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00493-014-3212-2

zbMATH Keywords

designsresolvable designsgeometric \(2\)-design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial structures in finite projective spaces (51E20)

Cites Work

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• A generalization of a result of Dembowski and Wagner
• Characterizing geometric designs. II.
• Some characterizations of finite projective spaces
• The number of designs with geometric parameters grows exponentially
• The existence of orthogonal resolutions of lines in AG(n,q)
• On projective and affine hyperplanes
• Characterizations of designs constructed from affine and projective spaces
• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• Berichtigung und Ergänzung zu 'Eine Kennzeichnung der endlichen affinen Räume'
• Une caractérisation des espaces affins basée sur la notion de droite
• Eine Kennzeichnung der endlichen affinen Räume
• Correction to: “Exponential bounds on the number of designs with affine parameters”
• Automorphisms of Steiner Triple Systems

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