Bounds on the number of affine, symmetric, and Hadamard designs and matrices

DOI10.1006/jcta.2000.3060zbMath0971.05019OpenAlexW2005295899MaRDI QIDQ1841227

Sigmund Lam, Vladimir D. Tonchev, Clement Wing Hong Lam

Publication date: 21 October 2001

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

Full work available at URL: https://doi.org/10.1006/jcta.2000.3060

zbMATH Keywords

Hadamard matricessymmetric designsresidual designPaley designaffine designsbound of Jungnickelsymmetric Hadamard design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

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Linearly embeddable designs, Recent results on designs with classical parameters, On the number of designs with affine parameters, Bounds on the number of Hadamard designs of even order, On the enumeration of some D-optimal designs, The number of designs with geometric parameters grows exponentially, Symmetric \((4,4)\)-nets and generalized Hadamard matrices over groups of order 4, Designs having the parameters of projective and affine spaces, Affine designs and linear orthogonal arrays, Exponential bounds on the number of designs with affine parameters, Enumeration of the doubles of the projective plane of order 4, Polarities, quasi-symmetric designs, and Hamada's conjecture, Correction to: “Exponential bounds on the number of designs with affine parameters”, Hadamard 2-(63,31,15) designs invariant under the dihedral group of order 10, Orderly generation of Butson Hadamard matrices, Structured Hadamard Conjecture, On generalized Hadamard matrices of minimum rank

Cites Work

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