1 citations · 3 across the 5 of their papers we have counts for
5 papers
Cryptanalysis of Andrecut's public key cryptosystem
Vitaliǐ Roman'kov, Anton Menshov
We show that a linear decomposition attack based on the decomposition method introduced by the first author in monography "Algebraic cryptography" and in a series of papers works b…
-solvability of regular equations over unitriangular groups over prime finite fields
Vitaliĭ Roman'kov, Anton Menshov
An equation over a group with one unknown is called regular if the exponent sum of the unknown is nonzero. In this paper we prove that some regular equations of exponent , wh…
Adjunction of roots to unitriangular groups over prime finite fields
Vitaliĭ Roman'kov, Anton Menshov
In this paper we study embeddings of unitriangular groups UT arising under adjunction of roots. We construct embeddings of UT in UT$_m(\mathbb{F…
Asymptotic density of rational sets in free abelian groups
Anton Menshov
In this paper we study asymptotic density of rational sets in free abelian group of rank . We show that any rational set in has asymptotic dens…
On systems of equations in free abelian groups
Anton Menshov
In this paper we study the asymptotic probability that a random system of equations in free abelian group of rank is solvable. Denote a…