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Small Hadamard Matrices

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A Hadamard matrix is a square matrix with all entries equal to or , with its rows mutually orthogonal. Half of the corresponding pairs of entries in any two rows have the same sign and half have the opposite sign.

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It is conjectured that a Hadamard matrix of order exists for all integers divisible by 4. However, many orders are unsolved, including 668, 716 and 892.

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Contributed by: Ed Pegg Jr (August 2022)
Open content licensed under CC BY-NC-SA

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[1] N. J. A. Sloane. "A Library of Hadamard Matrices." (Nov 11, 2021) neilsloane.com/hadamard.

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