ON THE EXISTENCE OF FLAT ORTHOGONAL MATRICES
Résumé
In this note we investigate the existence of flat or-thogonal matrices, i.e. real orthogonal matrices with all entries having absolute value close to 1 √ n . Entries of ± 1 √ n correspond to Hadamard matrices, so the question of existence of flat orthogonal matrices can be viewed as a relaxation of the Hadamard problem.
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