Properties and relations of quaternary linearly independent helix transformations

A number of new quaternary linearly independent helix transformations have been introduced here. These transformations have close relations and properties among each other that have been described. The experimental results also show the advantage of selected class of introduced transformations in processing quaternary benchmark functions when compared with quaternary Reed-Muller transform not only by obtaining more zero spectral coefficients but also by speeding up their calculation time.