منابع مشابه
Hadamard matrices of order =8 (mod 16) with maximal excess
Kounias and Farmakis, in 'On the excess of Hadamard matrices', Discrete Math. 68 (1988) 59-69, showed that the maximal excess (or sum of the elements) of an Hadamard matrix of order h, o(h) for h = 4m(m -1) is given by o(4m(m 1))≤4(m 1)2(2m + 1). Kharaghani in 'An infinite class of Hadamard matrices of maximal excess' (to appear) showed this maximal excess can be attained if m is the order of a...
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A k × uλ matrix M = [dij ] with entries from a group U of order u is called a (u, k, λ)-difference matrix over U if the list of quotients dildjl, 1 ≤ l ≤ uλ, contains each element of U exactly λ times for all i ̸= j. D. Jungnickel has shown that k ≤ uλ and it is conjectured that the equality holds only if U is a p-group for a prime p. On the other hand, A. Winterhof has shown that some known res...
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The non-split extension group $overline{G} = 5^3{^.}L(3,5)$ is a subgroup of order 46500000 and of index 1113229656 in Ly. The group $overline{G}$ in turn has L(3,5) and $5^2{:}2.A_5$ as inertia factors. The group $5^2{:}2.A_5$ is of order 3 000 and is of index 124 in L(3,5). The aim of this paper is to compute the Fischer-Clifford matrices of $overline{G}$, which together with associated parti...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1986
ISSN: 0012-365X
DOI: 10.1016/0012-365x(86)90163-9