Circuit design from Kronecker Galois field decision diagrams for multiple-valued functions

In this paper we define the Kronecker Galois field decision diagrams (KGFDDs), a generalization of Kronecker decision diagrams (KDDs) to the representation of multiple-valued (MV) functions. Starting from the multi-place decision diagrams (MDDs) and Galois field decision diagrams (GFDDs) we give a generalization that allows more compact representation with respect to the nodes needed. Based on KGFDDs we present a new method for circuit design for MV circuits. In contrast to previously presented approaches the resulting circuits have only logarithmic (instead of linear) depth.