Criteria for a Hadamard Matrix to be Skew-Equivalent
Canadian journal of mathematics, Tome 28 (1976) no. 6, pp. 1216-1223
Voir la notice de l'article provenant de la source Cambridge University Press
A matrix H of order n = 4t with all entries from the set {1, —1} is Hadamard if HHt = 4tI. The set of Hadamard matrices is . A matrix is of type I or is skew-Hadamard if H = S — I where St = —S (some authors also use H = S + I). The set of type I members is . A matrix P is a signed permutation matrix if each row and each column has exactly one non-zero entry, and that entry is from the set {1, —1}.
Longyear, Judith Q. Criteria for a Hadamard Matrix to be Skew-Equivalent. Canadian journal of mathematics, Tome 28 (1976) no. 6, pp. 1216-1223. doi: 10.4153/CJM-1976-122-x
@article{10_4153_CJM_1976_122_x,
author = {Longyear, Judith Q.},
title = {Criteria for a {Hadamard} {Matrix} to be {Skew-Equivalent}},
journal = {Canadian journal of mathematics},
pages = {1216--1223},
year = {1976},
volume = {28},
number = {6},
doi = {10.4153/CJM-1976-122-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-122-x/}
}
TY - JOUR AU - Longyear, Judith Q. TI - Criteria for a Hadamard Matrix to be Skew-Equivalent JO - Canadian journal of mathematics PY - 1976 SP - 1216 EP - 1223 VL - 28 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-122-x/ DO - 10.4153/CJM-1976-122-x ID - 10_4153_CJM_1976_122_x ER -
[1] 1. Hall, M., Jr. Hadamard matrices of order 16, J.P.L. Research summary No. 36-10, 1 (1961), 21–26. Google Scholar
[2] 2. Hall, M., Jr. Note on the Matthieu group Mu, Arch. Math. 13 (1962), 334–340. Google Scholar
[3] 3. Hall, M., Jr. Hadamard matrices of order 20, J.P.L. Technical Report No. 32-761 (1965), 1–41. Google Scholar
[4] 4. Hall, M., Jr. Combinatorial theory (Ginn-Blaisdell, Waltham, Mass., 1967). Google Scholar
[5] 5. Johnson, E. C., Skew-Hadamard abelian group difference sets, J. Algebra 1 (1964), 388–402. Google Scholar
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