|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||Abstract:||
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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checked on Mar 1, 2021
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