Hadamard Matrices of Order 32

DOI10.1002/jcd.21323zbMath1267.05054OpenAlexW2170886510MaRDI QIDQ4929251

B. Tayfeh-Rezaie, Hadi Kharaghani

Publication date: 13 June 2013

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

Full work available at URL: https://doi.org/10.1002/jcd.21323

zbMATH Keywords

Hadamard matricesorderly algorithmisomorph-free generationclassification of combinatorial objects

Mathematics Subject Classification ID

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

Related Items (21)

Relative \(t\)-designs in binary Hamming association scheme \(H(n,2)\) ⋮ On the classification of self-dual \([20,10,9\) codes over \(\mathrm{GF}(7)\)] ⋮ Suitable Permutations, Binary Covering Arrays, and Paley Matrices ⋮ The Hunt for Weighing Matrices of Small Orders ⋮ Preserving projection properties when regular two-level designs are blocked ⋮ Equivalence of Butson-type Hadamard matrices ⋮ Quasi-unbiased Hadamard matrices and weakly unbiased Hadamard matrices: A coding-theoretic approach ⋮ Hadamard matrices of order 36 formed by codewords in some ternary self-dual codes ⋮ On one construction method for Hadamard matrices ⋮ Nonregular designs from Paley's Hadamard matrices: generalized resolution, projectivity and hidden projection property ⋮ Classification of skew‐Hadamard matrices of order 32 and association schemes of order 31 ⋮ Quaternary complex Hadamard matrices of order 18 ⋮ Hadamard matrices of orders 60 and 64 with automorphisms of orders 29 and 31 ⋮ Isomorphism classes of association schemes induced by Hadamard matrices ⋮ Hadamard matrices and the spectrum of quadratic symmetric polynomials over finite fields ⋮ Mappings of Butson-type Hadamard matrices ⋮ Hadamard matrices with few distinct types ⋮ On D4t-Cocyclic Hadamard Matrices ⋮ THE WEIGHT HIERARCHY OF HADAMARD CODES ⋮ Supersaturated designs robust to two-factor interactions ⋮ Orderly generation of Butson Hadamard matrices

Uses Software

• Hadamard

Cites Work

• Hadamard matrices of order 32 and extremal ternary self-dual codes
• Classification algorithms for codes and designs
• New Hadamard matrix of order 24
• Classification of simple 2-(11,3,3) designs
• Construction of Hadamard matrices of order 28
• Classification of Hadamard matrices of order 28 with Hall sets
• Classification of Hadamard matrices of order 28
• Classification of Hadamard matrices of order 24 and 28
• On the classification of Hadamard matrices of order 32
• Every one a Winner or how to Avoid Isomorphism Search when Cataloguing Combinatorial Configurations
• Isomorph-Free Exhaustive Generation
• Permanents of matrices of signed ones
• Backtrack Programming
• A Hadamard matrix of order 428

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