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Kurakin, Vladimir Leonidovich
(1966–2010)
Statistics Math-Net.Ru
Total publications: 40
Scientific articles: 40

Number of views:
This page:2457
Abstract pages:19343
Full texts:11185
References:1134
Doctor of physico-mathematical sciences
Birth date: 13.05.1966

https://www.mathnet.ru/eng/person11519
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/334321

Publications in Math-Net.Ru Citations
2013
1. V. P. Elizarov, V. L. Kurakin, “Factorially solvable rings”, Diskr. Mat., 25:3 (2013),  33–37  mathnet  mathscinet  elib; Discrete Math. Appl., 23:3-4 (2013), 363–367  elib  scopus
2012
2. V. L. Kurakin, “The first digit carry function in the Galois ring”, Diskr. Mat., 24:2 (2012),  21–36  mathnet  mathscinet  elib; Discrete Math. Appl., 22:3 (2012), 241–259  elib  scopus 3
2011
3. V. L. Kurakin, V. V. Vyazovich, “An algorithm for construction of the annihilator of a polylinear recurring sequence over a finite commutative ring”, Diskr. Mat., 23:4 (2011),  134–157  mathnet  mathscinet  elib; Discrete Math. Appl., 21:5-6 (2011), 587–612
4. V. L. Kurakin, “Family of maximal period sequences with low cross-correlation over an 8-element ring”, Mat. Vopr. Kriptogr., 2:3 (2011),  47–73  mathnet
2010
5. V. L. Kurakin, “A family of sequences over the $8$-element ring with low correlation”, Mat. Vopr. Kriptogr., 1:4 (2010),  85–109  mathnet 1
6. V. L. Kurakin, “Free shift registers. IV”, Mat. Vopr. Kriptogr., 1:2 (2010),  57–92  mathnet
2008
7. V. L. Kurakin, “Free shift registers. III”, Tr. Diskr. Mat., 11:2 (2008),  63–85  mathnet 1
2007
8. V. L. Kurakin, “Free shift registers. II”, Tr. Diskr. Mat., 10 (2007),  123–174  mathnet 1
2006
9. V. L. Kurakin, “Similarity invariants for matrices over a commutative Artinian chain ring”, Mat. Zametki, 80:3 (2006),  403–412  mathnet  mathscinet  zmath  elib; Math. Notes, 80:3 (2006), 387–395  isi  scopus 2
10. V. L. Kurakin, “Periodic functions on a free semigroup”, Mat. Sb., 197:10 (2006),  109–128  mathnet  mathscinet  zmath  elib; Sb. Math., 197:10 (2006), 1509–1528  isi  scopus 1
11. V. L. Kurakin, “Free shift registers. I”, Tr. Diskr. Mat., 9 (2006),  77–109  mathnet 3
2004
12. V. L. Kurakin, “Hopf algebras of linear recurring sequences”, Diskr. Mat., 16:2 (2004),  7–43  mathnet  mathscinet  zmath; Discrete Math. Appl., 14:2 (2004), 115–152
2003
13. V. L. Kurakin, “Hopf algebras of linear recurring sequences over rings and modules”, Fundam. Prikl. Mat., 9:1 (2003),  113–148  mathnet  mathscinet  zmath  elib; J. Math. Sci., 128:6 (2005), 3402–3427  scopus 1
14. V. L. Kurakin, “Polylinear transforms of linear recurrent sequences over modules”, Tr. Diskr. Mat., 7 (2003),  89–113  mathnet
2002
15. V. L. Kurakin, “Hopf Algebra Dual to a Polynomial Algebra over a Commutative Ring”, Mat. Zametki, 71:5 (2002),  677–685  mathnet  mathscinet  zmath; Math. Notes, 71:5 (2002), 617–623  isi  scopus 2
16. V. L. Kurakin, A. A. Nechaev, “Quasi-Frobenius bimodules of functions on a semigroup”, Uspekhi Mat. Nauk, 57:6(348) (2002),  167–168  mathnet  mathscinet  zmath; Russian Math. Surveys, 57:6 (2002), 1230–1231  isi
17. V. L. Kurakin, “Trace representation of linear recurring sequences”, Mat. Sb., 193:6 (2002),  123–142  mathnet  mathscinet  zmath; Sb. Math., 193:6 (2002), 907–924  isi  scopus 2
18. V. L. Kurakin, “Binomial linear complexity of polylinear sequences”, Tr. Diskr. Mat., 6 (2002),  82–138  mathnet 1
19. A. S. Kuz'min, V. L. Kurakin, A. A. Nechaev, “Almost uniform linear recurrent sequences over Galois rings and $QF$-modules of characteristic 4”, Tr. Diskr. Mat., 5 (2002),  103–158  mathnet 4
2001
20. V. L. Kurakin, “Linear complexity of polylinear sequences”, Diskr. Mat., 13:1 (2001),  3–55  mathnet  mathscinet  zmath; Discrete Math. Appl., 11:1 (2001), 1–51 3
21. V. L. Kurakin, “The representation of trace functions of linear recurrences over rings and modules”, Uspekhi Mat. Nauk, 56:6(342) (2001),  157–158  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:6 (2001), 1170–1172  isi  scopus
22. A. S. Kuz'min, V. L. Kurakin, A. A. Nechaev, “Structural properties of linear recurrent sequences over Galois rings and quasi-Frobenius modules of charasteristic 4”, Tr. Diskr. Mat., 4 (2001),  91–128  mathnet 2
2000
23. V. L. Kurakin, “Polynomial transformations of linear recurrent sequences over finite commutative rings”, Diskr. Mat., 12:3 (2000),  3–36  mathnet  mathscinet  zmath; Discrete Math. Appl., 10:4 (2000), 333–366 4
24. A. A. Nechaev, A. S. Kuz'min, V. L. Kurakin, “Structural, analitical and statistical properties of linear and polylinear recurrent sequences”, Tr. Diskr. Mat., 3 (2000),  155–194  mathnet 11
1999
25. V. L. Kurakin, “Polynomial transformations of linear recurrent sequences over the ring $\mathbf Z_{p^2}$”, Diskr. Mat., 11:2 (1999),  40–65  mathnet  mathscinet  zmath; Discrete Math. Appl., 9:2 (1999), 185–210 2
26. V. L. Kurakin, “The Berlekamp–Massey algorithm over commutative Artinian principal ideal rings”, Fundam. Prikl. Mat., 5:4 (1999),  1061–1101  mathnet  mathscinet  zmath 2
27. V. L. Kurakin, “The Berlekamp–Massey Algorithm over a Finite Commutative Ring”, Probl. Peredachi Inf., 35:2 (1999),  38–50  mathnet  mathscinet  zmath; Problems Inform. Transmission, 35:2 (1999), 125–135 4
28. A. S. Kuz'min, V. L. Kurakin, V. T. Markov, A. V. Mikhalev, A. A. Nechaev, “Codes and recurrences over finite rings and modules”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 5,  18–31  mathnet  mathscinet  zmath 3
1998
29. V. L. Kurakin, “The Berlekamp–Massey algorithm over finite rings, modules and bimodules”, Diskr. Mat., 10:4 (1998),  3–34  mathnet  mathscinet  zmath; Discrete Math. Appl., 8:5 (1998), 441–474 12
30. A. S. Kuz'min, V. L. Kurakin, A. A. Nechaev, “Properties of linear and polylinear recurrent sequences over Galois rings. I”, Tr. Diskr. Mat., 2 (1998),  191–222  mathnet  mathscinet  zmath 7
1997
31. V. L. Kurakin, “The exponent of the congruence subgroup of a finite commutative chain ring”, Algebra Logika, 36:6 (1997),  657–674  mathnet  mathscinet 1
32. A. S. Kuz'min, V. L. Kurakin, A. A. Nechaev, “Pseudorandom and polylinear sequences”, Tr. Diskr. Mat., 1 (1997),  139–202  mathnet  mathscinet  zmath 48
1995
33. V. L. Kurakin, “Representations of linear recurrent sequences of maximum period over a finite field”, Diskr. Mat., 7:2 (1995),  34–39  mathnet  mathscinet  zmath; Discrete Math. Appl., 5:1 (1995), 59–62 2
34. V. L. Kurakin, “Binomial presentation of linear recurring sequences”, Fundam. Prikl. Mat., 1:2 (1995),  553–556  mathnet  mathscinet  zmath 2
1994
35. V. L. Kurakin, “The first coordinate sequence of a linear recurrence of maximum period over a Galois ring”, Diskr. Mat., 6:2 (1994),  88–100  mathnet  mathscinet  zmath; Discrete Math. Appl., 4:2 (1994), 129–141 13
36. V. L. Kurakin, “Representations over a field of linear recurrences of maximal period over a quotient ring”, Uspekhi Mat. Nauk, 49:2(296) (1994),  157–158  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:2 (1994), 163–165  isi 3
1993
37. V. L. Kurakin, “Structure of the Hopf algebras of linear recurrent sequences”, Uspekhi Mat. Nauk, 48:5(293) (1993),  177–178  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:5 (1993), 177–178  isi 5
38. V. L. Kurakin, “Convolution of linear recurrent sequences”, Uspekhi Mat. Nauk, 48:4(292) (1993),  235–236  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:4 (1993), 249–250  isi 4
1992
39. V. L. Kurakin, “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  mathnet  mathscinet  zmath; Discrete Math. Appl., 3:3 (1993), 275–296 7
40. V. L. Kurakin, “Representations of linear recurrent sequences and regular prime numbers”, Uspekhi Mat. Nauk, 47:6(288) (1992),  215–216  mathnet  mathscinet  zmath; Russian Math. Surveys, 47:6 (1992), 216–218  isi

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