Bounds on the number of Hadamard designs of even order

DOI10.1002/jcd.1017zbMath0988.05021OpenAlexW2074300802MaRDI QIDQ2748465

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

Publication date: 24 June 2002

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.1017

zbMATH Keywords

Hadamard symmetric designs

Mathematics Subject Classification ID

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

Related Items (7)

On the enumeration of some D-optimal designs ⋮ Exponentially many Hadamard designs ⋮ Structure and automorphism groups of Hadamard designs ⋮ Enumeration of the doubles of the projective plane of order 4 ⋮ 2-(31,15,7), 2-(35,17,8) and 2-(36,15,6) designs with automorphisms of odd prime order, and their related Hadamard matrices and codes ⋮ Hadamard 2-(63,31,15) designs invariant under the dihedral group of order 10 ⋮ Structured Hadamard Conjecture

Cites Work

• Unnamed Item
• The number of designs with classical parameters grows exponentially
• New Hadamard matrix of order 24
• Classification of 3-(24, 12, 5) designs and 24-dimensional Hadamard matrices
• Some non-isomorphic \((4t+4,8t+6,4t+3,2t+2,2t+1)\)-BIBD's
• Automorphisms and isomorphisms of symmetric and affine designs
• Bounds on the number of affine, symmetric, and Hadamard designs and matrices
• Classification of Hadamard matrices of order 24 and 28
• On the construction of certain Hadamard designs
• A class of symmetric designs
• Non-isomorphic solutions of some balanced incomplete block designs. I
• Automorphism groups of Hadamard matrices

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