Authors: Stanković, Milena
Stanković, Radomir 
Moraga, Claudio
Astola, Jaakko T.
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Construction of Ternary Bent Functions From Ternary Linear Functions
Journal: Proceedings of The International Symposium on Multiple-Valued Logic
First page: 50
Last page: 55
Conference: 52nd IEEE International Symposium on Multiple-Valued Logic, ISMVL 2022 18 May 2022 through 20 May 2022
Issue Date: 18-May-2022
ISBN: 9781665423953
ISSN: 0195623X
DOI: 10.1109/ISMVL52857.2022.00015
As in the binary case, ternary bent functions are defined as most non-linear ternary functions meaning that they are at the largest possible Hamming distance from affine ternary functions. It is therefore interesting to observe that some ternary bent functions can be constructed as various combinations of linear ternary functions. By starting from the combination of linear functions corresponding to the basic ternary bent functions the construction of different other ternary bent functions can be performed by the application of different combinations of FFT-like permutation matrices for ternary functions.
Keywords: Bent functions | Fast Fourier transform | Linear functions | Permutation matrices | Ternary functions | Vilenkin-Chrestenson transform
Publisher: IEEE

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