Geodesic
Constructing vector Boolean functions with non-degenerate coordinate functions
Prikladnaya Diskretnaya Matematika. Supplement, no. 15 (2022), pp. 30-33

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An algorithm for constructing a bijection on $\mathbb{Z}_2^n$ with coordinate functions depending essentially on all variables is proposed. The algorithm consists of three steps: generation of a random bijection $F:\mathbb{Z}_2^n\to\mathbb{Z}_2^n$, analysis of the degeneracy of its coordinates, and one transposition of the values of $F(x)$ and $F(y)$ such that they differ only in the positions corresponding to the degenerate coordinate functions.
Keywords: vector Boolean function, essential dependence of a function on a variable.
Mots-clés : bijection 
@article{PDMA_2022_15_a7,
     author = {I. A. Pankratova and E. A. Ruban and S. V. Chikalova},
     title = {Constructing vector {Boolean} functions with non-degenerate coordinate functions},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {30--33},
     publisher = {mathdoc},
     number = {15},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2022_15_a7/}
}
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I. A. Pankratova; E. A. Ruban; S. V. Chikalova. Constructing vector Boolean functions with non-degenerate coordinate functions. Prikladnaya Diskretnaya Matematika. Supplement, no. 15 (2022), pp. 30-33. http://geodesic.mathdoc.fr/item/PDMA_2022_15_a7/