The Existence of simple 6-(14,7,4) designs

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Title: The Existence of simple 6-(14,7,4) designs
Author: Kreher, Donald; Radziszowski, Stanislaw
Abstract: A cyclic 5-(13,6,4) design is constructed and is extended to a simple 6-(14,7,4) design via a theorem of Alltop. This design is the smallest possible nontrivial simple 6-design that can exist. Both have full automorphism group cyclic of order 13.
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Date: 1986

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