Geodesic
Cryptanalysis of the ACBF encryption system
Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 90-93.

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The ACBF encryption system with a functional key is considered. A public key in the cryptosystem is a vectorial Boolean function $f$ in $n$ variables obtained by permutation and negation operations on variables and coordinate functions of a bijective vectorial Boolean function $g$, that is, $f(x)=\pi_2(g^{\sigma_2}(\pi_1(x^{\sigma_1})))$, $\pi_1,\pi_2\in\mathbb{S}_n$ and $\sigma_1,\sigma_2\in\mathbb{F}_2^n$ are key parameters. A private key is $f^{-1}$. For two subsets of key parameters, namely for $\{\pi_1\}$ and $\{\pi_1,\pi_2\}$, attacks with known plaintexts are proposed.
Keywords: cryptosystem ACBF, vectorial Boolean functions, asymmetric cryptosystem
Mots-clés : cryptanalysis. 
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     title = {Cryptanalysis of the {ACBF} encryption system},
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I. V. Borovkova; I. A. Pankratova. Cryptanalysis of the ACBF encryption system. Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 90-93. http://geodesic.mathdoc.fr/item/PDMA_2019_12_a27/

[1] Agibalov G. P., Pankratova I. A., “Asymmetric cryptosystems on Boolean functions”, Prikladnaya diskretnaya matematika, 2018, no. 40, 23–33 | MR