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Mutually orthogonal rectangular gerechte designs

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Publication:254879
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DOI10.1016/j.laa.2016.02.017zbMath1331.05042OpenAlexW2279813747MaRDI QIDQ254879

Ralph J. Bremigan, John D. Lorch

Publication date: 8 March 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.02.017


zbMATH Keywords

Toeplitz matrixorthogonalitygerechte design


Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Toeplitz, Cauchy, and related matrices (15B05)


Related Items (4)

Diagonal cellular factor pair Latin squares ⋮ Balanced equi-\(n\)-squares ⋮ Sets of mutually orthogonal Sudoku frequency squares ⋮ A regional Kronecker product and multiple-pair Latin squares



Cites Work

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  • A candidate for the ``Next Fermat Problem
  • Distribution of Bordered Persymmetric Matrices in a Finite Field.
  • Sudoku, Gerechte Designs, Resolutions, Affine Space, Spreads, Reguli, and Hamming Codes
  • Magic Squares and Sudoku
  • Mutually orthogonal Latin squares: A brief survey of constructions


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