engleski

The first example of a simple 2-(81, 6, 2) design

We give the very first example of a simple2 − (81, 6, 2) design. Its points are the elements of the elementary abelian group of order 81 and each block is the union of two parallel lines of the 4- dimensional geometry over the field of order 3. Hence it is also additive.

Simple design ; Additive design ; Automorphism group ; Group action

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