On projective and affine hyperplanes

DOI10.1016/0097-3165(80)90072-2zbMath0444.05026OpenAlexW2021145916MaRDI QIDQ1144580

Luc Teirlinck

Publication date: 1980

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(80)90072-2

zbMATH Keywords

affine hyperplane2-coveringsprojective hyperplane

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) General block designs in finite geometry (51E05)

Related Items (27)

Quasi-symmetric \(2\text{-}(31,7,7)\) designs and a revision of Hamada's conjecture ⋮ Some transitive Steiner triple systems of Bagchi and Bagchi ⋮ Steiner triple systems of order 15 and their codes ⋮ On Bonisoli's theorem and the block codes of Steiner triple systems ⋮ Characterizing geometric designs. II. ⋮ Recent results on designs with classical parameters ⋮ On resolvability of Steiner systems \(S ( v = 2^{ m }, 4, 3)\) of rank \(r \leq v - m + 1\) over \(\mathbb{F}_{2}\) ⋮ Ranks of incidence matrices of t-designs \(S_\lambda (t,t+1,v)\) ⋮ Characterizations of symplectic polar spaces ⋮ The characterization problem for designs with the parameters of \(\mathrm{AG}_d(n,q)\) ⋮ A Hamada type characterization of the classical geometric designs ⋮ New invariants for incidence structures ⋮ The classification of Steiner triple systems on 27 points with 3-rank 24 ⋮ On the binary codes of Steiner triple systems ⋮ Cyclic quasi-symmetric designs and self-orthogonal codes of length 63 ⋮ Symmetric \((4,4)\)-nets and generalized Hadamard matrices over groups of order 4 ⋮ Non-full-rank Steiner quadruple systems \(S(v,4,3)\) ⋮ Vasil'ev codes of length \(n=2^m\) and doubling of Steiner systems \(S(n,4,3)\) of a given rank ⋮ Embeddings and hyperplanes of discrete geometries ⋮ Ranks of incidence matrices of Steiner triple systems ⋮ Codes of Steiner triple and quadruple systems ⋮ Polarities, quasi-symmetric designs, and Hamada's conjecture ⋮ On Steiner spaces ⋮ Steiner systems \(S(v, k, k - 1)\): components and rank ⋮ The geometric structure and the p-rank of an affine triple system derived from a nonassociative Moufang loop with the maximum associative center ⋮ The family of t-designs. II ⋮ Zur Klassifikation von Steinerzahlen

Cites Work

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• Some characterizations of finite projective spaces
• Ranks of incidence matrices of Steiner triple systems
• Designs et hyperplans
• On Steiner spaces
• Berichtigung und Ergänzung zu 'Eine Kennzeichnung der endlichen affinen Räume'
• On Quadruple Systems
• On the Szamkolowicz-Doyen Classification of Steiner Triple Systems
• Characterizations of Finite Projective and Affine Spaces

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