Authors: Moraga, Claudio
Stankovic, Milena
Stanković, Radomir 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On ternary symmetric bent functions
Journal: Proceedings of The International Symposium on Multiple-Valued Logic
First page: 76
Last page: 81
Conference: 50th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2020; Miyazaki; Japan; 9 November 2020 through 11 November 2020
Issue Date: 7-Jan-2021
Rank: M33
ISBN: 9781728154060
ISSN: 0195-623X
DOI: 10.1109/ISMVL49045.2020.00-26
This work was motivated by the fact that in the binary domain there are exactly 4 symmetric bent functions for every even n. A first study in the ternary domain shows very different properties. There are exactly 36 ternary symmetric bent functions of 2 variables, at least 12 ternary symmetric bent functions of 3 variables and at least 36 ternary symmetric bent functions of 4 variables. Furthermore the concept of strong symmetric bent function is introduced. To generate ternary symmetric 2k-place bent functions the tensor sum of two k-place ternary symmetric and the Maiorana Method were analyzed and combined with a set of spectral invariant operations. For n = 3 ternary symmetric bent functions were studied on a class of bent functions in the Reed-Muller domain, and a special adaptation of the tensor sum method was used, obtaining 18 ternary strong symmetric bent functions.
Keywords: Bent functions | Symmetric functions | Ternary functions
Publisher: IEEE

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