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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 ...
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,