Some resolutions of S(5, 8, 24) |
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Authors: | Earl S Kramer Spyros S Magliveras Dale M Mesner |
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Affiliation: | University of Nebraska, Lincoln, Nebraska 68588 USA |
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Abstract: | There exist 13 mutually disjoint resolutions of the Steiner system S(5, 8, 24). There also exist nine nonisomorphic mutually disjoint resolutions of S(5, 8, 24) where three of the resolutions have the same L2(23) as an automorphism group and the other six have the same affine group C2311 as an automorphism group. A resolution of S(5, 8, 24) using a group of order 21 is displayed and a 13-dimensional Room-type design is mentioned. |
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