Modular Hadamard Matrices and Related Designs, II
Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1100-1109
Voir la notice de l'article provenant de la source Cambridge University Press
An h by h matrix with entries ±1 is called a modular Hadamard matrix if the inner product of any two distinct row vectors is a multiple of a fixed (positive) integer n; such a matrix is also referred to as an “H(n, h) matrix” with parameters n and h. Modular Hadamard matrices and the related combinatorial designs were introduced in [2]; that paper was concerned mainly with two of the related designs, the “pseudo (ν, k, λ)- designs” and the “ (m, v, k1, λ1, k2, λ2, f, λ3)-designs” (the reader is referred to [2] for the definition of these designs).
Marrero, O.; Butson, A. T. Modular Hadamard Matrices and Related Designs, II. Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1100-1109. doi: 10.4153/CJM-1972-114-7
@article{10_4153_CJM_1972_114_7,
author = {Marrero, O. and Butson, A. T.},
title = {Modular {Hadamard} {Matrices} and {Related} {Designs,} {II}},
journal = {Canadian journal of mathematics},
pages = {1100--1109},
year = {1972},
volume = {24},
number = {6},
doi = {10.4153/CJM-1972-114-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1972-114-7/}
}
TY - JOUR AU - Marrero, O. AU - Butson, A. T. TI - Modular Hadamard Matrices and Related Designs, II JO - Canadian journal of mathematics PY - 1972 SP - 1100 EP - 1109 VL - 24 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1972-114-7/ DO - 10.4153/CJM-1972-114-7 ID - 10_4153_CJM_1972_114_7 ER -
[1] 1. Hall, M., Jr., Combinatorial theory (Blaisdell, Waltham, Mass., 1967). Google Scholar
[2] 2. Marrero, O. and Butson, A. T., Modular Hadamard matrices and related designs (to appear in J. Combinatorial Theory). Google Scholar
[3] 3. Ryser, H. J., Combinatorial mathematics (Wiley, New York, 1963). Google Scholar
[4] 4. Sprott, D. A., Some series of partially balanced incomplete block designs, Can. J. Math. 7 (1955), 369–381. Google Scholar
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