An octagon quadrangle is the graph consisting of an 8-cycle (x1, x2, ..., x8) with two additional chords: the edges {x1, x4} and {x5, x8}. An octagon quadrangle system of order v and index [OQS] is a pair (X, H), where X is a finite set of v vertices and H is a collection of edge disjoint octagon quadrangles (called blocks) which partition the edge set of Kv defined on X. An octagon quadrangle system = (X, H) of order v and index is said to be upper C4 - perfect if the collection of all of the upper 4cycles contained in the octagon quadrangles form a