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THERE IS ONE HADAMARD MATRIX OF ORDER 24 AND BOTH CHARACTERS 1
Author(s) -
Longyear Judith Q.
Publication year - 1979
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1979.tb32809.x
Subject(s) - transpose , hadamard transform , combinatorics , transposition (logic) , character (mathematics) , mathematics , column (typography) , order (exchange) , permutation matrix , negation , permutation (music) , hadamard matrix , philosophy , linguistics , physics , connection (principal bundle) , geometry , mathematical analysis , eigenvalues and eigenvectors , finance , quantum mechanics , circulant matrix , economics , aesthetics
S ummary This paper is a part of the joint effort of N. Ito, J. Leon, and the author to determine the number of Hadamard matrices of order 24 which are inequivalent under transposition, row, or column permutation and row or column negation. The matrices of character at least 2 in either the plain or transpose have been discussed earlier. Here we show there is a unique matrix with both characters one.