Large-determinant sign matrices of order \(4k+1\)

DOI10.1016/j.disc.2006.04.041zbMath1112.05020arXivmath/0311292OpenAlexW2101380025MaRDI QIDQ864164

Bruce Solomon, William P. Orrick

Publication date: 13 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0311292

zbMATH Keywords

Hadamard matricesD-optimal designsmaximal determinant problem

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Other designs, configurations (05B30)

Related Items (5)

A survey of the Hadamard maximal determinant problem ⋮ Embedding and extension properties of Hadamard matrices revisited ⋮ On the enumeration of some D-optimal designs ⋮ Minimal zonotopes containing the crosspolytope ⋮ Evaluation of some non-orthogonal saturated designs with two levels

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• Strongly Regular Graphs Derived from Combinatorial Designs
• Minimization of ±1 matrices under line shifts
• A Hadamard matrix of order 428
• Determinants Whose Elements Are 0 and 1
• On Hotelling's Weighing Problem

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