output
20142022
most citedFree Steiner triple systems and their automorphism groups

6 citations

5 papers

cs.CR2022★ 1 cited

Multi-recipient and threshold encryption based on hidden multipliers

Vitaly Roman'kov

Let be a pool of parties and Alice be the dealer. In this paper, we propose a scheme that allows the dealer to encrypt messages in such a way that only one authorized coali…

math.GR2017

Moufang Theorem for a variety of local non-Moufang loops

Ramiro Carrillo-Catalán, Liudmila Sabinina, Marina Rasskazova

An open problem in theory of loops is to find the variety of non- Moufang loops satisfying the Moufang Theorem. In this note, we present a variety of local smooth diassociative loo…

math.DG2015

Geodesics and shortest arcs of special sub-Riemannian metric on the Lie group

V. Berestovskii, I. Zubareva

The authors found geodesics, shortest arcs, cut loci, and conjugate sets for left-invariant sub-Riemannian matric on the Lie group , which is right-invariant relative to the…

math.GR2014★ 3 cited

Half-isomorphisms of finite automorphic Moufang loops

A. Grishkov, M. L. Merlini Giuliani, M. Rasskazova +1

We show that each half-automorphism of a finite automorphic Moufang loop is trivial. In general this is not true for finite left automorphic Moufang loops and for finite automorphi…

math.GR2014★ 6 cited

Free Steiner triple systems and their automorphism groups

A. Grishkov, D. Rasskazova, M. Rasskazova +1

The paper is devoted to the study of free objects in the variety of Steiner loops and of the combinatorial structures behind them, focusing on their automorphism groups. We prove t…