engleski

Non-existence of a simple 3-(16, 7, 5) design with an automorphism of order 3

Using recent results concerning tactical decompositions of t-designs with t > 2, we make a step forward on the long-standing question about the existence of a simple 3-(16 ; 7 ; 5) design ; if such a design exists, then its full automorphism group has order a power of 2, possibly equal to 1.

t-design; automorphism group; tactical decomposition

nije evidentirano