  Association schemes on triples (ASTs) are 3-dimensional analogues of
classical association schemes. If a group acts two-transitively on a set, the
orbits of the action induced on the triple Cartesian product of that set yields
an AST. By considering the actions of semidirect products of the affine special
linear group ASL(k,n) with subgroups of the Galois group Gal(GF(n)), we obtain
the sizes, third valencies, and intersection numbers of the ASTs obtained from
subgroups of the affine special semilinear group.
