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.


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.


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




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

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