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A popular measure to assess 2-level supersaturated designs with even number of runs is the E(s2) criterion. In this paper, we consider 2-level supersaturated designs with odd number of runs which have minimum E(s2). We give a more explicit lower bound on E(s2) than Bulutoglu and Ryan (2008). Conditions of supersaturated designs which attain the lower bounds are given. E(s2)-optimal supersaturated...
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