7 papers
On a necessary condition for the matching cryptosystem stability
Aleksey Bolotnikov, Anwar Irmatov
The article contains a description of a possible attack on a matching cryptosystem and a defense with limited noise. A public key of a matching cryposystem consists of a graph and…
On the matching arrangement of a graph, improper weight function problem and its application
Aleksey Bolotnikov, Anwar Irmatov
This article presents examples of an application of the finite field method for the computation of the characteristic polynomial of the matching arrangement of a graph. Weight func…
On linear-combinatorial problems associated with subspaces spanned by -vectors
Anwar A. Irmatov
A complete answer to the question about subspaces generated by -vectors, which arose in the work of I.Kanter and H.Sompolinsky on associative memories, is given. More pr…
Singularity of -matrices and asymptotics of the number of threshold functions
Anwar A. Irmatov
Two results concerning the number of threshold functions and the probability that a random Bernoulli matrix is singular are established. We in…
A Lower Bound of the Number of Threshold Functions in Terms of Combinatorial Flags on the Boolean Cube
Anwar Irmatov
Let , $E^{\times n}_{\ne 0} := \{ W=(w_{i_1}, \ldots , w_{i_n}) \mid w_{i_k}\in E, \, k=1, \ldots,…
Application of the Ranking Relative Principal Component Attributes Network Model (REL-PCANet) for the Inclusive Development Index Estimation
Anwar Irmatov, Elnura Irmatova
In 2018, at the World Economic Forum in Davos it was presented a new countries' economic performance metric named the Inclusive Development Index (IDI) composed of 12 indicators. T…