On affine designs and Hadamard designs with line spreads

DOI10.1016/j.disc.2006.06.039zbMath1246.05032OpenAlexW2030125405MaRDI QIDQ924956

Vladimir D. Tonchev, T. P. McDonough, Vassili C. Mavron

Publication date: 29 May 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2006.06.039

zbMATH Keywords

affine geometryHadamard matrixHamada's conjectureaffine design

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of finite geometries (05B25)

Related Items (8)

Linearly embeddable designs ⋮ 2-spreads and transitive and orthogonal 2-parallelisms of \(PG(5, 2)\) ⋮ Extension sets, affine designs, and Hamada's conjecture ⋮ A Hamada type characterization of the classical geometric designs ⋮ Book spreads in \(\mathrm{PG}(7,2)\) ⋮ Line spreads of PG(5, 2) ⋮ Polarities, quasi-symmetric designs, and Hamada's conjecture ⋮ Hadamard 2-(63,31,15) designs invariant under the dihedral group of order 10

Cites Work

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• Maximal arc partitions of designs
• On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
• Finite Sperner spaces constructed from projective and affine spaces
• On the line structure of designs
• Normal spreads
• Combinatorics. Room squares, sum-free sets, Hadamard matrices

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