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Hadamard Matrices of Order 32
Author(s) -
Kharaghani Hadi,
TayfehRezaie Behruz
Publication year - 2013
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21323
Subject(s) - mathematics , hadamard transform , combinatorics , hadamard matrix , complex hadamard matrix , hadamard's inequality , hadamard's maximal determinant problem , equivalence (formal languages) , sequence (biology) , order (exchange) , discrete mathematics , mathematical analysis , finance , biology , economics , genetics
Abstract Two Hadamard matrices are considered equivalent if one is obtained from the other by a sequence of operations involving row or column permutations or negations. We complete the classification of Hadamard matrices of order 32. It turns out that there are exactly 13,710,027 such matrices up to equivalence.