GENERALIZED FIXED POLARITY HELIX TRANSFORMS OVER GF(4)

摘要

New linearly independent quaternary transforms over Galois Field (4) called Generalized Fixed Polarity Helix transforms are introduced here. Their definitions based on recursive equations are described. Various properties of quaternary helix transform matrices, their mutual relations as well as their butterfly diagrams and computational costs versus quaternary Reed-Muller transform are also discussed.