Quaternary Fixed-Polarity Reed-Muller expansion computation through operations on disjoint cubes and its comparison with other methods

A new algorithm for calculating quaternary Fixed-Polarity Reed-Muller (FPRM) spectra is described in this paper. The presented algorithm directly converts array of disjoint cubes representation of a quaternary function into its FPRM spectral coefficients. The main advantage of this algorithm is that it requires less memory space than other algorithms. Since each spectral coefficient can be calculated independently of other spectral coefficients, the algorithm can be implemented using parallel programming. Brief reviews and experimental results of several existing algorithms for the calculation of quaternary FPRM spectra are also included in this paper together with experimental results of the new algorithm for comparison purpose.