Regular Hadamard matrix

id: regular-hadamard-matrix-297-4305879
title: Regular Hadamard matrix
text: In mathematics a regular Hadamard matrix is a Hadamard matrix whose row and column sums are all equal. While the order of a Hadamard matrix must be 1, 2, or a multiple of 4, regular Hadamard matrices carry the further restriction that the order must be a square number. The excess, denoted E(H ), of a Hadamard matrix H of order n is defined to be the sum of the entries of H. The excess satisfies the bound |E(H )| ≤ n3/2. A Hadamard matrix attains this bound if and only if it is regular.
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original url: https://en.wikipedia.org/wiki/Regular_Hadamard_matrix
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date modified: 2023-12-13T23:12:41Z
main entity: {"identifier":"Q7309581","url":"https://www.wikidata.org/entity/Q7309581"}
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