3 citations · 4 across the 19 of their papers we have counts for
8 papers · 1 filter
Cyclic Group Projection for Enumerating Quasi-Cyclic Codes Trapping Sets
Vasiliy Usatyuk, Yury Kuznetsov, Sergey Egorov
This paper introduces a novel approach to enumerate and assess Trapping sets in quasi-cyclic codes, those with circulant sizes that are non-prime numbers. Leveraging the quasi-cycl…
Topology-Aware Exploration of Energy-Based Models Equilibrium: Toric QC-LDPC Codes and Hyperbolic MET QC-LDPC Codes
Vasiliy Usatyuk, Denis Sapozhnikov, Sergey Egorov
This paper presents a method for achieving equilibrium in the ISING Hamiltonian when confronted with unevenly distributed charges on an irregular grid. Employing (Multi-Edge) QC-LD…
Spherical and Hyperbolic Toric Topology-Based Codes On Graph Embedding for Ising MRF Models: Classical and Quantum Topology Machine Learning
Vasiliy Usatyuk, Sergey Egorov, Denis Sapozhnikov
The paper introduces the application of information geometry to describe the ground states of Ising models by utilizing parity-check matrices of cyclic and quasi-cyclic codes on to…
An Modified Cole's Importance Sampling Method For Low Error Floor QC-LDPC Codes Construction
Vasiliy Usatyuk
We modified Cole's Importance Sampling (IS) method for enumerating of Trapping Sets (TS, asymmetric subgraphs) causing an error under message-passing decoder. Proposed Cole's IS mo…
Topologically Driven Methods for Construction Of Multi-Edge Type (Multigraph with nodes puncturing) Quasi-Cyclic Low-density Parity-check Codes for Wireless Channel, WDM Long-Haul and Archival Holographic Memory
Vasiliy Stanislavovich Usatyuk
In this Phd thesis discusses modern methods for constructing MET QC-LDPC codes with a given error correction ("waterfall, error-floor") and complexity (parallelism level according…
Floor Scale Modulo Lifting for QC-LDPC codes
Nikita Polyanskii, Vasiliy Usatyuk, Ilya Vorobyev
In the given paper we present a novel approach for constructing a QC-LDPC code of smaller length by lifting a given QC-LDPC code. The proposed method can be considered as a general…