A construction of D-optimal designs for N≡2 mod 4
نویسندگان
چکیده
منابع مشابه
D - optimal weighing designs for n ≡ − 1 ( mod 4 ) objects and a large number of weighings
Let Mm,n(0, 1) denote the set of all m× n (0,1)-matrices and let G(m,n) = max{detXX : X ∈Mm,n(0, 1)}. In this paper we exhibit some new formulas for G(m,n) where n ≡ −1 (mod 4). Specifically, for m = nt+r where 0 ≤ r < n, we show that for all sufficiently large t, G(nt+r, n) is a polynomial in t of degree n that depends on the characteristic polynomial of the adjacency matrix of a certain regul...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1987
ISSN: 0097-3165
DOI: 10.1016/0097-3165(87)90079-3