Generalized Logical Neural Functions Over The Galois Field And Their Properties

Abstract

We introduce the concept of multivalued neural element over Galois field relative to any system of characters of group on which we define logical functions. We deduced the criteria of realization of logical functions on such neural elements. Based on spectral attributes of logical functions the method of synthesis of generalized neural elements over Galois field was developed. Invariant operations over logical functions, which are realizable by one generalized neural element relative to the system of characters where no one of them have common parent, were described.