Kurakin Vladimir Leonidovich

Publications in Math-Net.Ru

1. Factorially solvable rings
   
   Diskr. Mat., 25:3 (2013),  33–37
2. The first digit carry function in the Galois ring
   
   Diskr. Mat., 24:2 (2012),  21–36
3. An algorithm for construction of the annihilator of a polylinear recurring sequence over a finite commutative ring
   
   Diskr. Mat., 23:4 (2011),  134–157
4. Family of maximal period sequences with low cross-correlation over an 8-element ring
   
   Mat. Vopr. Kriptogr., 2:3 (2011),  47–73
5. A family of sequences over the $8$-element ring with low correlation
   
   Mat. Vopr. Kriptogr., 1:4 (2010),  85–109
6. Free shift registers. IV
   
   Mat. Vopr. Kriptogr., 1:2 (2010),  57–92
7. Free shift registers. III
   
   Tr. Diskr. Mat., 11:2 (2008),  63–85
8. Free shift registers. II
   
   Tr. Diskr. Mat., 10 (2007),  123–174
9. Similarity invariants for matrices over a commutative Artinian chain ring
   
   Mat. Zametki, 80:3 (2006),  403–412
10. Periodic functions on a free semigroup
    
    Mat. Sb., 197:10 (2006),  109–128
11. Free shift registers. I
    
    Tr. Diskr. Mat., 9 (2006),  77–109
12. Hopf algebras of linear recurring sequences
    
    Diskr. Mat., 16:2 (2004),  7–43
13. Hopf algebras of linear recurring sequences over rings and modules
    
    Fundam. Prikl. Mat., 9:1 (2003),  113–148
14. Polylinear transforms of linear recurrent sequences over modules
    
    Tr. Diskr. Mat., 7 (2003),  89–113
15. Hopf Algebra Dual to a Polynomial Algebra over a Commutative Ring
    
    Mat. Zametki, 71:5 (2002),  677–685
16. Quasi-Frobenius bimodules of functions on a semigroup
    
    Uspekhi Mat. Nauk, 57:6(348) (2002),  167–168
17. Trace representation of linear recurring sequences
    
    Mat. Sb., 193:6 (2002),  123–142
18. Binomial linear complexity of polylinear sequences
    
    Tr. Diskr. Mat., 6 (2002),  82–138
19. Almost uniform linear recurrent sequences over Galois rings and $QF$-modules of characteristic 4
    
    Tr. Diskr. Mat., 5 (2002),  103–158
20. Linear complexity of polylinear sequences
    
    Diskr. Mat., 13:1 (2001),  3–55
21. The representation of trace functions of linear recurrences over rings and modules
    
    Uspekhi Mat. Nauk, 56:6(342) (2001),  157–158
22. Structural properties of linear recurrent sequences over Galois rings and quasi-Frobenius modules of charasteristic 4
    
    Tr. Diskr. Mat., 4 (2001),  91–128
23. Polynomial transformations of linear recurrent sequences over finite commutative rings
    
    Diskr. Mat., 12:3 (2000),  3–36
24. Structural, analitical and statistical properties of linear and polylinear recurrent sequences
    
    Tr. Diskr. Mat., 3 (2000),  155–194
25. Polynomial transformations of linear recurrent sequences over the ring $\mathbf Z_{p^2}$
    
    Diskr. Mat., 11:2 (1999),  40–65
26. The Berlekamp–Massey algorithm over commutative Artinian principal ideal rings
    
    Fundam. Prikl. Mat., 5:4 (1999),  1061–1101
27. The Berlekamp–Massey Algorithm over a Finite Commutative Ring
    
    Probl. Peredachi Inf., 35:2 (1999),  38–50
28. Codes and recurrences over finite rings and modules
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 5,  18–31
29. The Berlekamp–Massey algorithm over finite rings, modules and bimodules
    
    Diskr. Mat., 10:4 (1998),  3–34
30. Properties of linear and polylinear recurrent sequences over Galois rings. I
    
    Tr. Diskr. Mat., 2 (1998),  191–222
31. The exponent of the congruence subgroup of a finite commutative chain ring
    
    Algebra Logika, 36:6 (1997),  657–674
32. Pseudorandom and polylinear sequences
    
    Tr. Diskr. Mat., 1 (1997),  139–202
33. Representations of linear recurrent sequences of maximum period over a finite field
    
    Diskr. Mat., 7:2 (1995),  34–39
34. Binomial presentation of linear recurring sequences
    
    Fundam. Prikl. Mat., 1:2 (1995),  553–556
35. The first coordinate sequence of a linear recurrence of maximum period over a Galois ring
    
    Diskr. Mat., 6:2 (1994),  88–100
36. Representations over a field of linear recurrences of maximal period over a quotient ring
    
    Uspekhi Mat. Nauk, 49:2(296) (1994),  157–158
37. Structure of the Hopf algebras of linear recurrent sequences
    
    Uspekhi Mat. Nauk, 48:5(293) (1993),  177–178
38. Convolution of linear recurrent sequences
    
    Uspekhi Mat. Nauk, 48:4(292) (1993),  235–236
39. Representations over the ring $\mathbb Z^{p^n}$ of a linear recursive sequence of maximal period over the field $GF(p)$
    
    Diskr. Mat., 4:4 (1992),  96–116
40. Representations of linear recurrent sequences and regular prime numbers
    
    Uspekhi Mat. Nauk, 47:6(288) (1992),  215–216