2015 IEEE International Symposium on Multiple-Valued Logic (ISMVL) (2015)

Waterloo, ON, Canada

May 18, 2015 to May 20, 2015

ISSN: 0195-623X

ISBN: 978-1-4799-1777-8

pp: 133-138

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISMVL.2015.31

ABSTRACT

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.

INDEX TERMS

Tensile stress, Spectral analysis, Boolean functions, Discrete Fourier transforms, Europe, Computer science

CITATION

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.

doi:10.1109/ISMVL.2015.31

CITATIONS