Cryptanalysis of a new version of the MOR scheme

11/03/2019
by   Vitaly Roman'kov, et al.
0

We show that an attack based on the linear decomposition method introduced by the author can be efficiently applied to the new version of the MOR scheme proposed in <cit.>. We draw attention to some inaccuracies in the description of this version. We show how the action of an exponent of a given automorphism (for example, the action of its inverse) can be calculated, and we also show how the unknown exponent of automorphism can be calculated if we go over to the corresponding linear transformation. This method can be applied to different matrix groups over an arbitrary constructive field. It does not depend on the specific properties of the underlined matrix group. The considered problem is reduced in probabilistic polynomial time to the similar problem in small extensions of the underlined field.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
02/19/2018

Two Algorithms to Compute Symmetry Groups for Landau-Ginzburg Models

Landau-Ginzburg mirror symmetry studies isomorphisms between graded Frob...
research
02/19/2018

Two Algorithms to Compute the Maximal Symmetry Group

Landau-Ginzburg mirror symmetry studies isomorphisms between graded Frob...
research
05/05/2020

Characterizing Triviality of the Exponent Lattice of A Polynomial through Galois and Galois-Like Groups

The problem of computing the exponent lattice which consists of all the ...
research
08/21/2002

Winner-Relaxing Self-Organizing Maps

A new family of self-organizing maps, the Winner-Relaxing Kohonen Algori...
research
12/24/2021

The probabilistic Weisfeiler-Leman algorithm

A probabilistic version of the Weisfeiler-Leman algorithm for computing ...
research
03/23/2022

An Example of the SAM+ Algorithm for Learning Action Models for Stochastic Worlds

In this technical report, we provide a complete example of running the S...
research
02/17/2018

Matrix variate Birnbaum-Saunders distribution under elliptical models

This paper solves the open problem for an elliptical matrix variate vers...

Please sign up or login with your details

Forgot password? Click here to reset