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JCT
2006
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14 years 12 days ago
On the coexistence of conference matrices and near resolvable 2-(2k+1, k, k-1) designs
We show that a near resolvable 2-(2k + 1, k, k - 1) design exists if and only if a conference matrix of order 2k + 2 does. A known result on conference matrices then allows us to ...
Malcolm Greig, Harri Haanpää, Petteri Ka...
EJC
2008
14 years 16 days ago
On the number of combinations without certain separations
Abstract. In this paper we enumerate the number of ways of selecting k objects from n objects arrayed in a line such that no two selected ones are separated by m-1, 2m-1,
Toufik Mansour, Yidong Sun