Kirkman-Steiner Triple Systems and Sets of Mutually Orthogonal Latin Squares

It is shown that every Kirkmai!--Steiner triple system of order v ;;; 3 (mod 6) implies the existence of a set consisting of at least one pair of mutually, orthogonal latin sq_uares of order v. The combinatorial structure of this set is different from those of known sets of orthogonal latin squares in the literature and this might prove to be useful for the construction of other designs and combinatorial systems derivable from sets of mutually orthogonal latin squares·. The case v = 15 leads to a new result, namely the existence of a set consisting of three mutually orthogonal latin sq_uares of order 15.