2015 IEEE International Symposium on Multiple-Valued Logic (ISMVL) (2015)
Waterloo, ON, Canada
May 18, 2015 to May 20, 2015
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISMVL.2015.31
Some properties of ternary functions with bent Reed-Muller spectra are studied. The main result is, that in three big classes of bent functions, for n > 1, a necessary condition for a ternary function to have a bent Reed-Muller spectrum is that the value vector of the function satisfies f ((3n -1)/2) = 0, in which case the bent Reed-Muller spectrum will have a modular weight congruent to 0 mod 3. A new Extended-Maiorana class of ternary bent functions/spectra is introduced, which improves the production of the standard Maiorana class by a factor (3!/2)n.
Tensile stress, Spectral analysis, Boolean functions, Discrete Fourier transforms, Europe, Computer science
C. Moraga, M. Stankovic and R. S. Stankovic, "Contribution to the Study of Ternary Functions with a Bent Reed-Muller Spectrum," 2015 IEEE International Symposium on Multiple-Valued Logic (ISMVL), Waterloo, ON, Canada, 2015, pp. 133-138.