Persons: Ratseev, Sergey Mihailovich

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Ratseev, Sergey Mihailovich

Total publications:	82 (82)
in MathSciNet:	27 (27)
in zbMATH:	24 (24)
in Web of Science:	15 (15)
in Scopus:	24 (24)
Cited articles:	40
Citations:	153

Number of views:
This page:	7622
Abstract pages:	14761
Full texts:	5205
References:	1960

Associate professor

Doctor of physico-mathematical sciences (2014)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

E-mail:

Keywords:

variety of algebras, Leibniz algebra, Poisson algebras, identity, growth, numerical characteristics of algebras.

UDC:

512.572, 519.7

Subject:

Variety of Leibniz algebras, Poisson algebras, numerical characteristics of algebras.

Main publications:

Ratseev S. M., Elementy vysshei algebry i teorii kodirovaniya : ucheb. posobie dlya vuzov, SPb. : Lan, 2023. 684 s. ssylka1 ssylka2
Ratseev S. M., Programmirovanie na yazyke Si : ucheb. posobie dlya vuzov, SPb. : Lan, 2022. 332 s. ssylka1 ssylka2
Ratseev S. M., Matematicheskie metody zaschity informatsii : ucheb. posobie dlya vuzov, SPb. : Lan, 2023. 544 c. ssylka1 ssylka2
Ratseev S. M., Kriptograficheskie protokoly. Skhemy razdeleniya sekreta : ucheb. posobie dlya vuzov, SPb. : Lan, 2024. 336 c. ssylka1 ssylka2
Ratseev S. M., “Chislovye kharakteristiki mnogoobrazii algebr Puassona”, Fundamentalnaya i prikladnaya matematika, 2016, № 2(21), 217–242

https://www.mathnet.ru/eng/person28440

List of publications on Google Scholar

https://zbmath.org/authors/?q=ai:ratseev.sergej-mikhaijlovich

https://mathscinet.ams.org/mathscinet/MRAuthorID/787142

https://elibrary.ru/author_items.asp?spin=2356-3083

https://orcid.org/0000-0003-4995-9418

https://www.webofscience.com/wos/author/record/AAC-2638-2020

https://www.scopus.com/authid/detail.url?authorId=26022120300

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	S. M. Ratseev, “Poisson algebras of polynomial growth”, Siberian Math. J., 54:3 (2013), 555–565
2.	S. M. Ratseev, “Equivalent conditions of polynomial growth of a variety of Poisson algebras”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 67:5-6 (2012), 195–199
3.	S. M. Ratseev, “Commutative Leibniz–Poisson algebras of polynomial growth”, Vestnik SamGU, 2012, no. 3/1(94), 54–65
4.	S. M. Ratseev, “Correlation of Poisson Algebras and Lie Algebras in the Language of Identities”, Math. Notes, 96:4 (2014), 538–547
5.	S. M. Ratseev, “About perfect imitation resistant ciphers”, Prikl. Diskr. Mat., 2012, no. 3, 41–46
6.	S. M. Ratseev, “Growth in Poisson algebras”, Algebra and Logic, 50:1 (2011), 46–61
7.	S. M. Ratseev, “Ob algoritmakh dekodirovaniya kodov Goppy”, Chelyab. fiz.-matem. zhurn., 5:3 (2020), 327–341	6 ^[x]
8.	S. M. Ratseev, O. I. Cherevatenko, “Ob algoritmakh dekodirovaniya obobschennykh kodov Rida-Solomona na sluchai oshibok i stiranii”, Vestnik Samarskogo universiteta. Estestvennonauchnaya seriya, 26:3 (2020), 17–29	6 ^[x]
9.	S. M. Ratseev, “Otsenki rosta mnogoobrazii algebr Leibnitsa s nilpotentnym kommutantom”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 78:4 (2010), 65–72	6 ^[x]
10.	S. M. Ratseev, “The Growth of Varieties of Leibniz Algebras with Nilpotent Commutator Subalgebra”, Math. Notes, 82:1 (2007), 96–103
11.	S. M. Ratseev, “On varieties of Leibniz–Poisson algebras with the identity {x,y}{z,t}=0”, Zhurn. SFU. Ser. Matem. i fiz., 6:1 (2013), 97–104	5 ^[x]
12.	S. M. Ratseev, “O sovershennykh imitostoikikh shifrakh zameny s neogranichennym klyuchom”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 110:9/1 (2013), 42–48	5 ^[x]
13.	S. M. Ratseev, O. I. Cherevatenko, “Eksponenty nekotorykh mnogoobrazii algebr Leibnitsa-Puassona”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 104:3 (2013), 42–52	5 ^[x]
14.	S. M. Ratseev, “Ob optimalnykh kodakh autentifikatsii”, Sistemy i sredstva informatiki, 23:1 (2013), 53–57	5 ^[x]
15.	S. M. Ratseev, “Identities in the varieties generated by the algebras of upper triangular matrices”, Siberian Math. J., 52:2 (2011), 329–339
16.	S. M. Ratseev, O. I. Cherevatenko, “Ob algoritmakh dekodirovaniya obobschennykh kodov Rida-Solomona”, Sistemy i sredstva informatiki, 2020, no. 4, 83–94	4 ^[x]
17.	S. M. Ratseev, “Necessary and sufficient conditions of polynomial growth of varieties of Leibniz–Poisson algebras”, Russian Math. (Iz. VUZ), 58:3 (2014), 26–30
18.	S. M. Ratseev, “On Construction of Perfect Ciphers”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(34) (2014), 192–199
19.	S. M. Ratseev, A. D. Lavrinenko, E. A. Stepanova, “Ob algoritme Berlekempa-Messi i ego primenenii v algoritmakh dekodirovaniya”, Vestnik Samarskogo universiteta. Estestvennonauchnaya seriya, 27:1 (2021), 44–61	3 ^[x]
20.	S. M. Ratseev, A. M. Rostov, “O protokolakh autentifikatsii s nulevym razglasheniem znaniya”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 19:1 (2019), 114–121	2 ^[x]
21.	S. M. Ratseev, “On minimal Poisson algebras”, Russian Math. (Iz. VUZ), 59:11 (2015), 54–61
22.	S. M. Ratseev, “Nekotorye obobscheniya teorii Shennona o sovershennykh shifrakh”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 8:1 (2015), 111–127	2 ^[x]
23.	S. M. Ratseev, “Lie algebras with extremal properties”, Siberian Math. J., 56:2 (2015), 358–366
24.	S. M. Ratseev, O. I. Cherevatenko, “O nekotorykh mnogoobraziyakh algebr Leibnitsa-Puassona s ekstremalnymi svoistvami”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 22:2 (2013), 57–59	2 ^[x]
25.	S. M. Ratseev, “Ob eksponentakh nekotorykh mnogoobrazii lineinykh algebr”, Prikladnaya diskretnaya matematika, 21:3 (2013), 32–34	2 ^[x]
26.	S. M. Ratseev, O. I. Cherevatenko, “On the nilpotent Leibniz–Poisson algebras”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 4(29) (2012), 207–211
27.	S. M. Ratseev, E. G. Ubaneeva, “On the implementation of finite fields of characteristic two and their application in cryptosystems”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2022, no. 2, 90–107
28.	S. M. Ratseev, “Efficient implementation of access structures for secret sharing schemes”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2022, no. 2, 75–89
29.	S. M. Ratseev, O. I. Cherevatenko, “Ob algoritmakh dekodirovaniya obobschennykh kodov Rida-Solomona na sluchai oshibok i stiranii. II”, Vestnik Samarskogo universiteta. Estestvennonauchnaya seriya, 27:2 (2021), 7–15	1 ^[x]
30.	S. M. Ratseev, A. D. Lavrinenko, E. A. Stepanova, “On decoding algebraic codes based on the berlekamp-massey algorithm”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2021, no. 2, 31–42
31.	S. M. Ratseev, O. I. Cherevatenko, “Chislovye kharakteristiki algebr Leibnitsa–Puassona”, Chebyshevskii sb., 18:1 (2017), 143–159	1 ^[x]
32.	S. M. Ratseev, “Proper $\mathrm{T}$-ideals of poisson algebras with extreme properties”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 71:6 (2016), 224–232
33.	S. M. Ratseev, “Numerical characteristics of varieties of Poisson algebras”, J. Math. Sci., 237:2 (2019), 304–322
34.	S. M. Ratseev, “On minimal Leibniz algebras with nilpotent commutator subalgebra”, St. Petersburg Math. J., 27:1 (2016), 125–136
35.	S. M. Ratseev, O. I. Cherevatenko, “Funktsii slozhnosti nekotorykh algebr Leibnitsa-Puassona”, Sibirskie elektronnye matematicheskie izvestiya, 12 (2015), 500–507	1 ^[x]
36.	S. M. Ratseev, “O teoreticheski stoikikh shifrakh”, Sistemy i sredstva informatiki, 24:1 (2014), 61–72	1 ^[x]
37.	S. M. Ratseev, O. I. Cherevatenko, “On Perfect Ciphers Based on Orthogonal Tables”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:2 (2014), 66–73
38.	S. M. Ratseev, “O minimalnykh algebrakh Leibnitsa-Puassona polinomialnogo rosta”, Dalnevost. matem. zhurn., 14:2 (2014), 248–256	1 ^[x]
39.	S. M. Ratseev, O. I. Cherevatenko, “On metabelian varieties of Leibniz–Poisson algebras”, IIGU Ser. Matematika, 6:1 (2013), 72–77
40.	S. M. Ratseev, “The growth of varieties generated by upper-triangular matrices algebras”, Moscow University Mathematics Bulletin, 2011, no. 1, 50–51
41.	S. M. Ratseev, O. I. Cherevatenko, “Protokol bezopasnykh vychislenii dlya trekh uchastnikov s passivnym protivnikom”, Vestnik SibGUTI, 2025, no. 1, ?
42.	S. M. Ratseev, “Konstruktsii nekotorykh skhem razdeleniya sekreta na osnove lineinykh kodov”, Izvestiya Saratovskogo universiteta. Novaya seriya. Seriya Matematika. Mekhanika. Informatika., 24:3 (2024), 330–341
43.	S. M. Ratseev, O. I. Cherevatenko, “Protokol bezopasnykh vychislenii dlya chetyrekh uchastnikov s aktivnym protivnikom”, Uchenye zapiski UlGU. Seriya “Matematika i informatsionnye tekhnologii”, 2024, ?
44.	S. M. Ratseev, O. I. Cherevatenko, “Ob algoritmakh dekodirovaniya kodov Goppy na sluchai oshibok i stiranii”, Izvestiya Saratovskogo universiteta. Novaya seriya. Seriya Matematika. Mekhanika. Informatika, 22:1 (2022), 28–47
45.	S. M. Ratseev, O. I. Cherevatenko, V. A. Chernyavskaya, “O nekotorykh kriptosistemakh, osnovannykh na algebraicheskikh kodakh”, Vestnik Samarskogo universiteta. Estestvennonauchnaya seriya, 27:1 (2021), 62-73
46.	S. M. Ratseev, “On decoding algorithms for Reed-Solomon codes with errors and erasures”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2021, no. 1, 67–86
47.	S. M. Ratseev, O. I. Cherevatenko, “O customary-prostranstvakh algebr Leibnitsa-Puassona”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 20:3 (2020), 290-296
48.	S. M. Ratseev, O. I. Cherevatenko, “O prostom algoritme dekodirovanii kodov BChKh, kodov Rida-Solomona i kodov Goppy”, Vestnik SibGUTI, 2020, no. 3, 3–14
49.	S. M. Ratseev, A. M. Ivantsov, “O nekotorykh svoistvakh kriptograficheskikh khesh-funktsii”, Avtomatizatsiya protsessov upravleniya, 56:2 (2019), 53–58
50.	S. M. Ratseev, O. I. Cherevatenko, “O primenenii ellipticheskikh krivykh v nekotorykh protokolakh elektronnogo golosovaniya”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 18:1 (2018), 62-68
51.	S. M. Ratseev, O. I. Cherevatenko, “O simmetricheskikh mnogochlenakh spetsialnogo vida”, Nauchnye vedomosti BelGU. Matematika. Fizika, 255:6 (2017), 16–23
52.	S. M. Ratseev, O. I. Cherevatenko, “Ob optimalnykh kodakh autentifikatsii na osnove konechnykh polei”, Nauchnye vedomosti BelGU. Matematika. Fizika, 262:13 (2017), 38–41
53.	S. M. Ratseev, A. M. Ivantsov, “O primenenii ellipticheskikh krivykh v nekotorykh protokolakh autentifikatsii i raspredeleniya klyuchei”, Avtomatizatsiya protsessov upravleniya, 48:2 (2017), 35–40
54.	S. M. Ratseev, A. M. Ivantsov, “O primenenii ellipticheskikh krivykh v nekotorykh proveryaemykh skhemakh razdeleniya sekreta”, Avtomatizatsiya protsessov upravleniya, 49:3 (2017), 31–36
55.	S. M. Ratseev, A. S. Korsunskii, D. I. Shlykov, “O nadezhnykh i vysokoskorostnykh simmetrichnykh shifrakh”, Tekhnicheskie nauki - ot teorii k praktike: sb. st. po mater. LXIX mezhdunar. nauch.-prakt. konf. # 4(64). Novosibirsk: SibAK, 2017, 12–19
56.	S. M. Ratseev, A. M. Rostov, “Metody uskoreniya i usovershenstvovaniya protokola autentifikatsii s nulevym razglasheniem na osnove zadachi o nakhozhdenii gamiltonova tsikla v grafe”, Nauchnye vedomosti BelGU. Ekonomika. Informatika., 265:16 (2017), 131-137
57.	S. M. Ratseev, E. E. Bespalova, P. V. Burankina, M. A. Gusarova, “O primenenii konechnykh polei v nekotorykh sovershennykh kriptosistemakh”, Vestnik Sibirskogo gosudarstvennogo universiteta telekommunikatsii i informatiki, 2017, no. 4, 35–44
58.	S. M. Ratseev, O. I. Cherevatenko, “Codimensions of varieties of Poisson algebras with Lie nilpotent commutants”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016), 241–244
59.	S. M. Ratseev, V. M. Ratseev., “Postroenie sovershennykh imitostoikikh shifrov na osnove kombinatornykh ob'ektov”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya., 2016, no. 1, 46–50
60.	S. M. Ratseev, “Complexity Functions of Varieties of Leibniz Algebras with Nilpotent Commutator Subalgebra”, Math. Notes, 98:3 (2015), 525–528
61.	S. M. Ratseev, V. M. Ratseev, “O shifrakh, ne rasprostranyayuschikh iskazhenii”, Nauchnye vedomosti BelGU. Matematika. Fizika., 220:23 (2015), 128–140
62.	S. M. Ratseev, “On Poisson customary polynomial identities”, Izv. Saratov. Univ. Mat. Mekh. Inform., 14:2 (2014), 150–155
63.	S. M. Ratseev, O. I. Cherevatenko, “On Leibniz–Poisson Special Polynomial Identities”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2(35) (2014), 9–15
64.	S. M. Ratseev, N. P. Panov, “O postroenii sovershennykh shifrov zameny s neogranichennym klyuchom”, Nauchnye vedomosti BelGU. Matematika. Fizika., 183:7 (2014), 84–91
65.	S. M. Ratseev, “Ob assotsiativnykh algebrakh slabogo rosta”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 118:7 (2014), 70–74
66.	S. M. Ratseev, “Conditions for the existence of perfect ciphers with a fixed set of parameters”, Prikl. Diskr. Mat. Suppl., 2014, no. 7, 54–56
67.	S. M. Ratseev, O. I. Cherevatenko, “On authentication codes based on orthogonal tables”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 4(37) (2014), 178–186
68.	S. M. Ratseev, “O nekotorykh algebrakh Puassona s ekstremalnymi svoistvami”, Nauchnye vedomosti BelGU. Matematika. Fizika., 148:5 (2013), 107–110
69.	S. M. Ratseev, “Otsenki rosta nekotorykh mnogoobrazii algebr Puassona”, Nauchnye vedomosti BelGU. Matematika. Fizika., 154:11 (2013), 93–101
70.	S. M. Ratseev, O. I. Cherevatenko, “Algoritmy razbieniya stroki na leksemy v yazyke programmirovaniya Si”, Vestnik adygeiskogo gosudarstvennogo universiteta. Seriya “Estestvenno-matematicheskie i tekhnicheskie nauki”, 110:4 (2012), 180–190
71.	S. M. Ratseev, “Growth of some varieties of Leibniz–Poisson algebras”, Serdica Math. J., 37:4 (2011), 331–340
72.	S. M. Ratseev, “O roste nekotorykh assotsiativnykh algebr i algebr Leibnitsa”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 65:6 (2008), 177–184
73.	S. M. Ratseev, “Konechnaya baziruemost nekotorykh mnogoobrazii algebr Leibnitsa”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region, 33:6 (2007), 12–16
74.	S. M. Ratseev, “Rost nekotorykh mnogoobrazii algebr Leibnitsa”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 46:6 (2006), 70–77
75.	S. M. Ratseev, “Rost i kodlina prostranstv spetsialnogo vida mnogoobrazii algebr Puassona”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region, 26:5 (2006), 125–135
76.	L. E. Abanina, S. M. Ratseev, “Mnogoobrazie algebr Leibnitsa, svyazannoe so standartnymi tozhdestvami”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 40:6 (2005), 36–50
77.	S. M. Ratseev, “Mnogoobrazie algebr Leibnitsa s pochti konechnoi kodlinoi”, Uchenye zapiski Ulyanovskogo gosudarstvennogo universiteta. Fundamentalnye problemy matematiki i mekhaniki, 14:1 (2004), 34–45
78.	S. M. Ratseev, D. A. Tarasov, “On the high-speed program implementation of zero-knowledge authentication protocols”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2024, no. 1, 44–50
79.	S. M. Ratseev, “On implementation of some perfect secret sharing schemes”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2023, no. 1, 97–147
80.	S. M. Ratseev, “On implementation of Reed–Solomon codes and decoding algorithms”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2023, no. 1, 60–96
81.	S. M. Ratseev, A. M. Ivantsov, “A secret sharing scheme with an order relation on a set of participants”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2023, no. 2, 99–103
82.	S. M. Ratseev, A. M. Ivantsov, P. A. Buldakovsky, “On decoding algorithms of cyclic codes”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2021, no. 1, 87–101

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Ulyanovsk State University, Faculty of Mathematics and Information Technologies

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