Optimization of GF(4)expressions using the extended dual polarity property

Abstract

A method for optimization of Fixed Polarity Reed-Muller expressions (FPRM) using the dual polarity property has been presented in [7]. In [2], this method has been extended to optimization of Kronecker expressions by introducing the notion of extended dual polarity property. In this paper, we propose a generalization of this method to optimization of Fixed polarity Galois field (GF) expressions for quaternary functions. The proposed method exploits a simple relationship between fixed polarity GF expressions for dual polarities.