|
Discrete Functions
On some properties of known isometric mappings of the set of bent functions
A. V. Kutsenko Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk
Abstract:
We prove that there doesn't exist an isometry on the set of all Boolean functions in $2k$ variables which acts on the set of bent functions by assigning the dual bent functions. We state the affine equivalence of a bent function and its dual bent function in the case of small number of variables.
Keywords:
Boolean function, bent function, isometry, dual bent function.
Citation:
A. V. Kutsenko, “On some properties of known isometric mappings of the set of bent functions”, Prikl. Diskr. Mat. Suppl., 2017, no. 10, 43–44
Linking options:
https://www.mathnet.ru/eng/pdma341 https://www.mathnet.ru/eng/pdma/y2017/i10/p43
|
Statistics & downloads: |
Abstract page: | 157 | Full-text PDF : | 46 | References: | 31 |
|