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arXiv · 2010.01366

Properties of Rotational Symmetric multiple valued functions and their Reed-Muller-Fourier spectra

Claudio Moraga
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Abstract

The concept of rotation symmetric functions from the Boolean domain is extended to the multiple-valued (MV) domain. It is shown that symmetric functions are a subset of the rotation symmetric functions. Functions exhibiting these kinds of symmetry may be given a compact value vector representation. It is shown that the Reed-Muller-Fourier spectrum of a function preserves the kind of symmetry and therefore it may be given a compact vector representation of the same length as the compact value vector of the corresponding function. A method is presented for calculating the RMF spectrum of symmetric and rotation symmetric functions from their compact representations. Examples are given for 3-valued and 4-valued functions.

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Claudio Moraga. 2020-10-03. Properties of Rotational Symmetric multiple valued functions and their Reed-Muller-Fourier spectra. https://arxiv.org/abs/2010.01366

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