Switching Operations for Hadamard Matrices

DOI10.1137/050641727zbMath1156.05012arXivmath/0507515OpenAlexW2038351891MaRDI QIDQ3614193

William P. Orrick

Publication date: 16 March 2009

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

Full work available at URL: https://arxiv.org/abs/math/0507515

zbMATH Keywords

Hadamard matrixSmith normal formHadamard codeHadamard equivalenceinteger equivalence

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear codes (general theory) (94B05) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (14)

Robust Hadamard matrices, unistochastic rays in Birkhoff polytope and equi-entangled bases in composite spaces ⋮ Gröbner bases and cocyclic Hadamard matrices ⋮ Switching for 2-designs ⋮ Trades in Complex Hadamard Matrices ⋮ Hadamard matrices of order 36 formed by codewords in some ternary self-dual codes ⋮ The cocyclic Hadamard matrices of order less than 40 ⋮ A Path to Hadamard Matrices ⋮ Switching codes and designs ⋮ \(E(s^2)\)-optimal supersaturated designs with odd number of runs ⋮ 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 ⋮ On D4t-Cocyclic Hadamard Matrices ⋮ Orderly generation of Butson Hadamard matrices ⋮ A Bird’s-Eye View of Modern Symmetric Cryptography from Combinatorial Designs ⋮ An infinite family of Hadamard matrices constructed from Paley type matrices

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