Authors: Moraga, Claudio
Stanković, Radomir 
Stanković, Milena
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On new Properties of the Maiorana-McFarland Ternary Bent Functions
Journal: Proceedings of The International Symposium on Multiple-Valued Logic
First page: 56
Last page: 61
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/ISMVL52857.2022.00038
Abstract: 
Maiorana-McFarland ternary bent functions are analyzed with respect to their relationship with spectral invariant operations and with respect to self-duality. In analogy to the Maiorana-McFarland method to generate binary bent functions, an equation is introduced to generate ternary bent functions in an even number of variables. It is shown that Maiorana-McFarland ternary bent functions are strict bent and that their duals may not be Maiorana-McFarland. It is known that spectral invariant operations preserve the bentness of a function. We show that most spectral invariant operations preserve that Maiorana-McFarland bentness of ternary functions. The concept of generalized self-duality is introduced and it is shown how Maiorana-McFarland ternary bent functions exhibit this kind of self-duality. It is shown that Maiorana-McFarland ternary bent functions in two variables may be divided into 3 classes of 54 functions each. A list of these functions for a first class is given in an Appendix.
Keywords: generalized self-duality | Maiorana-McFarland bent functions | spectral invariant operations
Publisher: IEEE

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