The only work done on these so far has been in a paper (Abel,Greig & Rees) on recursive constructions, and some computer searches.
Details of the designs obtained by computer search are as follows. All designs have 1-rotational automorphism groups of order (v-1). They are presented as difference families, one initial block per line. The invariant treatment is represented as 1000.
For each design is given a heading (Design ...
) with the
number in the list, the group size, and the invariants of the
graph as calculated by the program.
Designs for v = 8 and 16 are given.