Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2021, Issue 14, Pages 67–71
DOI: https://doi.org/10.17223/2226308X/14/14
(Mi pdma564)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Methods of Cryptography

Cryptanalytic invertibility of two-argument functions

N. Yu. Berdnikova, I. A. Pankratova

Tomsk State University
Full-text PDF (615 kB) Citations (1)
References:
Abstract: Tests of cryptanalytic invertibility of all possible types for functions $g: D_1\times D_2\to D$ are proposed. Let $G_a=\{g(a,x_2): x_2\in D_2\}$ for any $a\in D_1$. Then: 1) function $g$ is invertible with respect to the variable $x_1$ of the type $\forall\forall$ iff $\forall a, b\in D_1$ ($a\ne b\Rightarrow G_a\cap G_b=\varnothing$); 2) function $g$ is invertible with respect to the variable $x_1$ of the type $\forall\exists$ iff there exists a mapping $\varphi$ such that the mapping $a\mapsto g(a, \varphi(a))$ is injective; 3) function $g$ is invertible with respect to the variable $x_2$ of the type $\exists\forall$ iff $|G_a|=|D_2|$ for some value $a\in D_1$. Algorithms for constructing a recovering function and generating invertible functions are formulated; some estimates of the number of invertible functions are given.
Keywords: cryptanalytic invertibility, invertibility test, recovering function.
Document Type: Article
UDC: 519.7
Language: Russian
Citation: N. Yu. Berdnikova, I. A. Pankratova, “Cryptanalytic invertibility of two-argument functions”, Prikl. Diskr. Mat. Suppl., 2021, no. 14, 67–71
Citation in format AMSBIB
\Bibitem{BerPan21}
\by N.~Yu.~Berdnikova, I.~A.~Pankratova
\paper Cryptanalytic invertibility of two-argument functions
\jour Prikl. Diskr. Mat. Suppl.
\yr 2021
\issue 14
\pages 67--71
\mathnet{http://mi.mathnet.ru/pdma564}
\crossref{https://doi.org/10.17223/2226308X/14/14}
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  • This publication is cited in the following 1 articles:
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    Prikladnaya Diskretnaya Matematika. Supplement
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