V. Shpilrain

activity

19982011

most citedAssessing security of some group based cryptosystems

2 citations · 9 across the 13 of their papers we have counts for

collaborators

Showing 2005 · math.GRShow all

3 papers · 2 filters

math.GR2005

A new key exchange protocol based on the decomposition problem

Vladimir Shpilrain, Alexander Ushakov

In this paper we present a new key establishment protocol based on the decomposition problem in non-commutative groups which is: given two elements $w, w_{1}$ of the platform group $…

math.GR2005

Some metric properties of automorphisms of groups

Alexei G. Myasnikov, Vladimir Shpilrain

Study of the dynamics of automorphisms of a group is usually focused on their growth and/or finite orbits, including fixed points. In this paper, we introduce properties of a diffe…

math.GR2005

Densities in free groups and $Z^{k}$ , Visible Points and Test Elements

Ilya Kapovich, Igor Rivin, Paul Schupp +1

In this article we relate two different densities. Let $F_{k}$ be the free group of finite rank $k \geq 2$ and let $α$ be the abelianization map from $F_{k}$ onto $Z^{k}$ . We pr…

A new key exchange protocol based on the decomposition problem

Some metric properties of automorphisms of groups

Densities in free groups and Zk, Visible Points and Test Elements

Densities in free groups and $Z^{k}$ , Visible Points and Test Elements