Review of Lattice-based Public key Cryptography. (Russian) - V. S. Usatyuk (CoRR, 2010)

Lattice Problems and Their Reductions. (Russian) - V. S. Usatyuk (CoRR, 2010)

Short review of lattice basis reduction types and his applications. (Russian) - Vasiliy Usatyuk (CoRR, 2012)

Block Korkin-Zolotarev algorithm generalization and their practical implementation. (Russian) - Vasiliy Usatyuk (CoRR, 2012)

Upper bound on the cardinality containing shortest vectors in a lattice reduced by block Korkin-Zolotarev method - Vasiliy Usatyuk (CoRR, 2013)

The implementation of the parallel shortest vector enumerate in the block Korkin-Zolotarev method - Vasiliy Usatyuk (CoRR, 2013)

Application of lattice reduction block Korkin-Zolotarev method to MIMO-decoding. - Vasiliy Usatyuk (CoRR, 2014)

Some problems of Graph Based Codes for Belief Propagation decoding. - Vasiliy Usatyuk (CoRR, 2015)

Generalization of floor lifting for QC-LDPC codes. - Vasiliy Usatyuk; Sergey Egorov (EWDTS, 2017)

Floor Scale Modulo Lifting for QC-LDPC codes. - Nikita Polyanskii; Vasiliy Usatyuk; Ilya Vorobyev (CoRR, 2017)

Generalization of Floor Lifting for QC-LDPC Codes: Theoretical Properties and Applications. - Ilya Vorobyev; Nikita Polyanskii; German Svistunov; Sergey Egorov; Vasiliy Usatyuk (EWDTS, 2018)

Simulated Annealing Method for Construction of High-Girth QC-LDPC Codes. - Vasiliy Usatyuk; Ilya Vorobyev (TSP, 2018)

Interleaved Cyclic Group Decomposition Length Adaptive MET QC-LDPC Codes. - German Svistunov; Vasiliy Usatyuk (BlackSeaCom, 2019)

Protograph Sieving Method for Construction Moderate Length Multi-Edge Type QC-LDPC Codes. - German Svistunov; Vasiliy Usatyuk; Sergey Egorov (EWDTS, 2019)

Construction of Length and Rate Adaptive MET QC-LDPC Codes by Cyclic Group Decomposition. - Vasiliy Usatyuk; Sergey Egorov; German Svistunov (EWDTS, 2019)

Construction of High Performance Block and Convolutional Multi-Edge Type QC-LDPC codes. - Vasiliy Usatyuk; Ilya Vorobyev (TSP, 2019)

Hyper Neural Network as the Diffeomorphic Domain for Short Code Soft Decision Beyound Belief Propagation Decoding Problem. - Vasiliy Usatyuk; Sergey Egorov (EWDTS, 2020)

Wireless Channels Topology Invariant as Mathematical Foundation of Neural Network Channel Estimation Transfer Learning Properties. - Vasiliy Usatyuk (TSP, 2020)

An Modified Cole's Importance Sampling Method For Low Error Floor QC-LDPC Codes Construction. - Vasiliy Usatyuk (CoRR, 2022)

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 (CoRR, 2023)

Topology-Aware Exploration of Energy-Based Models Equilibrium: Toric QC-LDPC Codes and Hyperbolic MET QC-LDPC Codes. - Vasiliy Usatyuk; Denis Sapozhnikov; Sergey Egorov (CoRR, 2024)

Cyclic Group Projection for Enumerating Quasi-Cyclic Codes Trapping Sets. - Vasiliy Usatyuk; Yury Kuznetsov; Sergey Egorov (CoRR, 2024)