Multiple valued input generalised Reed-Muller forms

The concept of canonical multiple valued input generalised Reed-Muller (MIGRM) forms is introduced. The MIGRM is a direct extension of the well known generalised Reed-Muller (GRM) forms to the logic with multiple valued inputs. The concept of the polarity of a GRM form is generalised to the polarity matrix of a MIGRM form. A tabular pattern-matching method is presented for the calculation of a MIGRM form. The MIGRM transform has been implemented for further investigations of such forms and their comparison with other circuit realisations.