Authors: Moraga, Claudio
Stanković, Milena
Stanković, Radomir 
Title: Contribution to the Study of Ternary Functions with a Bent Reed-Muller Spectrum
Journal: Proceedings of The International Symposium on Multiple-Valued Logic
Volume: 2015-September
First page: 133
Last page: 138
Conference: 45th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2015; University of WaterlooWaterloo; Canada; 18 May 2015 through 20 May 2015
Issue Date: 2-Sep-2015
ISBN: 978-1-479-91777-8
ISSN: 0195-623X
DOI: 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.
Keywords: bent functions | Reed-Muller spectrum | ternary domain
Publisher: IEEE

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