Geodesic
Properties of bent functions constructed by a given bent function using subspaces
Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 50-53 Cet article a éte moissonné depuis la source Math-Net.Ru

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Properties of a construction $f \oplus \mathrm{Ind}_L$, where $f$ is a bent function in $2k$ variables and $L$ is an affine subspace, generating bent functions under some conditions are considered. It is proven that the numbers of bent functions generated by $(k + 1)$-dimensional subspaces for a given bent function and its dual function are equal. Some experimental results for bent functions in $6$ and $8$ variables reflecting the number of generated bent functions, equality and inequality of this number for a given bent function and its dual function and nonexistence of generated bent functions if subspaces have some fixed dimensions are presented. Theorem (2018) on subspace connections for bent functions $f$ and $f(x_1, \ldots, x_{2k}) \oplus x_{2k + 1}x_{2k + 2}$ (in context of the considered construction) is strengthened.
Keywords: Boolean functions, bent functions, subspaces, affinity. 
@article{PDMA_2019_12_a13,
     author = {N. A. Kolomeets},
     title = {Properties of bent functions constructed by a given bent function using subspaces},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {50--53},
     year = {2019},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2019_12_a13/}
}
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N. A. Kolomeets. Properties of bent functions constructed by a given bent function using subspaces. Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 50-53. http://geodesic.mathdoc.fr/item/PDMA_2019_12_a13/

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