Logachev Oleg Aleksejevich

Publications in Math-Net.Ru

1. On properties of pseudoboolean functions
   
   Diskr. Mat., 37:2 (2025),  41–50
2. On some combinatorial properties of propagation criteria for Boolean functions
   
   Diskr. Mat., 36:4 (2024),  64–73
3. On the relationship between local affinities of a Boolean function and some types of its degeneracy
   
   Diskr. Mat., 34:2 (2022),  7–25
4. On some invariants under the action of an extension of $GA(n,2)$ on the set of Boolean functions
   
   Diskr. Mat., 33:2 (2021),  66–85
5. On local affinity based method of solving systems of quadratic Boolean equations
   
   Inform. Primen., 13:2 (2019),  37–46
6. Polynomial algorithms for constructing local affinities of quadratic Boolean functions
   
   Inform. Primen., 13:1 (2019),  67–74
7. On the $\Delta$-equivalence of Boolean functions
   
   Diskr. Mat., 30:4 (2018),  29–40
8. Boolean functions as points on the hypersphere in the Euclidean space
   
   Diskr. Mat., 30:1 (2018),  39–55
9. An information based criterion for perfectly balanced functions
   
   Inform. Primen., 12:4 (2018),  70–74
10. On construction of correlation-immune functions via minimal functions
    
    Mat. Vopr. Kriptogr., 9:2 (2018),  7–22
11. On the local invertibility of finite state information lossless automata
    
    Prikl. Diskr. Mat., 2018, no. 39,  78–93
12. A criterion of perfect balance for shift-composition of functions over a finite alphabet
    
    Diskr. Mat., 29:4 (2017),  59–65
13. On $\rho$-balanced Boolean functions
    
    Diskr. Mat., 24:2 (2012),  154–159
14. On values of affinity level for almost all Boolean functions
    
    Prikl. Diskr. Mat., 2010, no. 3(9),  17–21
15. New methods of investigation of perfectly balanced Boolean functions
    
    Diskr. Mat., 21:2 (2009),  51–74
16. A lower bound for the affinity level for almost all Boolean functions
    
    Diskr. Mat., 20:4 (2008),  85–88
17. On the affinity level of Boolean functions
    
    Diskr. Mat., 17:4 (2005),  98–107
18. On the inheritance of properties of Boolean functions under restrictions
    
    Diskr. Mat., 14:2 (2002),  9–19
19. Some characteristics of “nonlinearity” of group mappings
    
    Diskretn. Anal. Issled. Oper., Ser. 1, 8:1 (2001),  40–54
20. On a property of associated representations of the group $\mathrm{GL}(n,k)$
    
    Diskr. Mat., 12:2 (2000),  154–159
21. On properties of Weil sums over finite fields and finite abelian groups
    
    Diskr. Mat., 11:2 (1999),  66–85
22. Pairing of Finite Modules, Duality of Linear Codes, and the MacWilliams Identities
    
    Probl. Peredachi Inf., 34:3 (1998),  50–59
23. Codes of the Reed–Muller Type on a Finite Abelian Group
    
    Probl. Peredachi Inf., 34:2 (1998),  32–46
24. On finite Abelian groups with nonsingular quadratic form
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 6,  3–6
25. Bent functions on a finite abelian group
    
    Diskr. Mat., 9:4 (1997),  3–20
26. Local inversion of a finite automaton by means of automata
    
    Diskr. Mat., 7:2 (1995),  19–33