Geodesic
On some properties of known isometric mappings of the set of bent functions
Prikladnaya Diskretnaya Matematika. Supplement, no. 10 (2017), pp. 43-44.

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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. 
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A. V. Kutsenko. On some properties of known isometric mappings of the set of bent functions. Prikladnaya Diskretnaya Matematika. Supplement, no. 10 (2017), pp. 43-44. http://geodesic.mathdoc.fr/item/PDMA_2017_10_a16/

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