D-Optimal Designs with Hadamard Matrix
نویسندگان
چکیده
منابع مشابه
The excess of Hadamard matrices and optimal designs
Hadamard matrices of order n with maximum excess o(n) are constructed for n = 40, 44, 48, 52, 80, 84. The results are: o(40)= 244, o(44)= 280, o(48)= 324, o(52)= 364, o(80)= 704, 0(84) = 756. A table is presented listing the known values of o(n) 0< n ~< 100 and the corresponding Hadamard matrices are constructed. For the remaining values of n = 56, 60, 68, 72, 76, 88, 92, 96 the largest values ...
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(2.1) F = C+C0 + C If A, B are two aggregates of elements of F we shall denote by AB the aggregate formed by adding each element of A to every element of B. We shall also denote the aggregate obtained by taking A a times by a A. Then we have the following Lemma 1. If p'=l (mod 4), then pl1 C0Ce = ——(C. + o, 4 , pl 1 p'-S pl-i (2.2) 0-, = ^-—— C + Í-—— C. + --C., 2 4 4 ¿i _ i ¿i _ i ¿i _ s c. = ...
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Rahilly [10] described a construction that relates any Hadamard design H on 4m−1 points with a line spread to an affine design having the same parameters as the classical design of points and hyperplanes in AG(m, 4). Here it is proved that the affine design is the classical design of points and hyperplanes in AG(m, 4) if, and only if, H is the classical design of points and hyperplanes in PG(2m...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1993
ISSN: 0022-247X
DOI: 10.1006/jmaa.1993.1336