For combination map based design, a method defines one or more logic elements including one or more binary output variables and one or more binary input variables. The method further assigns the one or more logic elements to a combination map. In addition, the method defines one or more logic element relationships between the logic elements on the combination map. The method encodes a plurality of fields of the combination map as a linear array that includes a plurality of logic states. Each logic state includes the one or more binary output variables, the one or more binary input variables, one or more minterms of the one or more binary input variables, one or more maxterms of the one or more minterms, one or more present state values, and one or more next state values.