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A new algorithm is given that converts a reduced representation of Boolean functions inthe form of disjoint cubes to Generalized Adding and Arithmetic spectra. Since theknown algorithms that generate Adding and Arithmetic spectra always start from thetruth table of Boolean functions the method presented computes faster with a smallercomputer memory. The method is extremely efficient for such Boolean functions thatare described by only few disjoint cubes and it allows the calculation of only selectedspectral coefficients, or all the coefficients can be calculated in parallel

An Efficient Algorithm for the Calculation of Generalized Adding and Arithmetic Transforms From Disjoint Cubes of Boolean Functions