Bakharev Aleksandr Olegovich

Publications in Math-Net.Ru

1. Oracle Diffie — Hellman problem with equivalence relation
   
   Prikl. Diskr. Mat. Suppl., 2025, no. 18,  106–113
2. A new quantum oracle model for a hybrid quantum-classical attack on post-quantum lattice-based cryptosystems
   
   Diskretn. Anal. Issled. Oper., 31:3 (2024),  24–53
3. Post-quantum cryptosystems: open problems and current solutions. Isogeny-based and code-based cryptosystems
   
   Diskretn. Anal. Issled. Oper., 31:1 (2024),  52–84
4. On the properties of a finite-state generator
   
   Prikl. Diskr. Mat., 2024, no. 66,  78–85
5. Research of $k$-sieve algorithm for solving the shortest vector problem in a lattice
   
   Prikl. Diskr. Mat. Suppl., 2024, no. 17,  157–162
6. On the security of some algorithms over a group of points of elliptic curves
   
   Prikl. Diskr. Mat. Suppl., 2024, no. 17,  63–70
7. Post-quantum cryptosystems: open problems and solutions. Lattice-based cryptosystems
   
   Diskretn. Anal. Issled. Oper., 30:4 (2023),  46–90
8. Estimates of implementation complexity for quantum cryptanalysis of post-quantum lattice-based cryptosystems
   
   Diskretn. Anal. Issled. Oper., 30:3 (2023),  5–42
9. Additional optimization of the guaranteed number of activations in $\mathsf{XS}$-circuits computation algorithm
   
   Prikl. Diskr. Mat. Suppl., 2023, no. 16,  78–81
10. Main approaches in post-quantum cryptography: description, a comparative study
    
    Prikl. Diskr. Mat. Suppl., 2023, no. 16,  58–65
11. $\mathsf{XS}$-circuits' properties related to the guaranteed number of activations
    
    Prikl. Diskr. Mat. Suppl., 2022, no. 15,  62–66
12. Development and comparison of quantum oracle models for the hybrid attack on post-quantum lattice-based cryptosystems
    
    Prikl. Diskr. Mat. Suppl., 2022, no. 15,  43–48
13. Development and analysis of oracle for the hibrid attack on a cryptographic system NTRU using a quantum search algorithm
    
    Prikl. Diskr. Mat. Suppl., 2021, no. 14,  62–67