  A [z,r;g]-mixed cage is a mixed graph of minimum order such that each vertex
has z in-arcs, z out-arcs, r edges, and it has girth g. We present an infinite
family of mixed graphs with girth 6. This construction also provides an upper
bound on the minimum order of mixed cages of girth 6. Additionally,we introduce
a lower bound on the minimum order for any mixed cage.
