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.
Department, Program, or Center
Center for Advancing the Study of CyberInfrastructure
Journal of Combinatorial Theory, Series A 43N2 (1986) 237 - 243
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