Vladimir Andrunachievici Institute of Mathematics and Computer Science

RO EN

IMCS/Researchers/Laboratory "Algebra and Topology"/

Shcherbacov Victor

Degrees:	Dr. habil., Associate Professor
Function:	Principal Researcher
Date of birth:	October 30, 1956
Publications:	>190
Foreign languages:	Russian, Ukrainian, English, German
Phone:	73-80-29
Web:	scerb.com
Email:

Research interests

Teoria quasigrupurilor

Important publications

Bol-Moufang groupoids of order three up to isomorphisms.
V. V. Demidova, V. D. Chernov, N. N. Malyutina, V. A. Shcherbacov, I. N. Svediuc, in Proceedings of the Workshop on Intelligent Information Systems (WIIS2023), October 19-21, 2023, Chisinau, Republic of Moldova, pp. 111-114, 2023.
Schroder T-quasigroups.
Shcherbacov, V. A ., arXiv:2206.12844, 2022, 13 p.
T-quasigroups with Stein 3-rd law.
Shcherbacov, V., Shvedyuk, I., Malyutina, N., Proceedings WIIS2022, Vladimir Andrunachievici Institute of Mathematics and Computer Science October 6-8, 2022, Chisinau, p. 172-176.
Simple Stein medial quasigroups.
Shcherbacov, V., Demidova, V., Radilov, P. Simple Stein medial quasigroups. Proceedings WIIS2022, Vladimir Andrunachievici Institute of Mathematics and Computer Science October 6-8, 2022, Chisinau, p. 167-171.
Identities and generalized derivatives of quasigroups.
Horosh, G., Malyutina, N., Scerbacova, A., Shcherbacov, V. Computer Science Journal of Moldova, vol.30, no.2(89), 2022, pp.170-186.
An Analogue of the ElGamal Scheme.
Nadeghda Malyutina, Victor Shcherbacov. Based on the Markovski Algorithm, ROMAI JOURNAL, Volume 17, no. 1, (2021), 105-114.
Quasigroups, Units and Belousov's Problem # 18
A. Krapez and V. A. Shcherbacov., Armen. J. Math., V. 11, N. 9, 2019, p. 1–27.
Elements of Quasigroup Theory and Applications.
Victor Shcherbacov, Taylor and Francis Group, CRC Press, Boca Raton, London, New York, 2017, 576 pages. ISBN 9781498721554 - CAT K25591.
Quasigroup based crypto-algorithms.
Victor Shcherbacov, arhiv: 1110.6591v1, 2012, 23 pages.
Digital signature and secret-sharing schemes.
G. B. Belyavskaya, V. I. Izbash, N. A. Moldovyan, V. A. Shcherbacov, Conferinta Nationala "Cercetarea si inovarea in parteneriat cu mediul de afaceri", Chisinau, November 10, 2011, 159-164.
On some quasigroup cryptographical primitives.
Piroska Csorgo, Victor Shcherbacov, arXiv:1110.6591v1, 2011, 11 pages.
Galina B. Belyavskaya's 70th birthday.
W. A. Dudek and V. Shcherbacov, Quasigroups and related systems vol.18, 2010, No. 2, p. 105-112.
Cheban loops.
J. D. Phillips and V. A. Shcherbacov, Journal of Generalized Lie Theory and Applications, Vol. 4, 2010, Article ID G100501, 5 pages, doi: 10.4303/jglta/G100501.
On the structure of finite paramedial quasigroups.
V. A. Shcherbacov, D. I. Pushkashu, Comment. Math. Univ. Carolin. vol. 51, no. 2, 2010, 357-370.
Quasigroups in cryptology.
V. A. Shcherbacov, Computer Science Journal of Moldova, vol.17, no. 2(50), 2009, 193–228.
On congruences of groupoids closely connected with quasigroups.
V. A. Shcherbacov, A. Kh. Tabarov, D. I. Puscasu, Journal of Mathematical Sciences. 2009. Vol. 163, No. 6, 785-795.
Примитивы цифровой подписи: конечныe группы с трехмерной цикличностью.
Щербаков В. А., Костинa А. А., Молдовянy П. А., Молдовян Н. А., Вопросы защиты информации. 2009, номеp 3, с. 9-15.
On the structure of left and right F-, SM-, and E-quasigroups.
Victor Shcherbacov, Journal of Generalized Lie Theory and Applications, Vol. 3, 2009, No. 3, 197-259.
0 конгруэнциях группоидов, тесно связанных c квазигруппами.
В. A. Щербаков, А. Х. Табаров, Д. И. Пушкашу, Фундамент. M прикл. матем., 14:5 (2008), 237-251.
Despre quasigrupuri liniare şi inverse şi aplicarea lor în teoria codurilor.
Victor Şcerbacov, Teza de doctor habilitat în ştiinţe fizico-matematice, Chişinău, 2008.
On Bruck-Belousov problem.
Victor Shcherbacov. Buletinul AS RM. Matematica. No 3(49), 2005, p. 123-140.
Quasigroups with an inverse property and generalized parastrophic identities.
A. D. Keedwell and V. A. Shcherbacov. Quasigroups and related systems, 13, 2005, p. 109-124.
On structure of finite n-ary medial quasigroups and automorphism groups of these quasigroups.
V. A. Shcherbacov. Quasigroups and related systems, 13, 2005, p. 125-156
On simple n-ary medial quasigroups.
Victor Shcherbacov. Proceedings of Conference "Computational Commutative and Non-Commutative Algebraic Geometry", NATO Science Series: Computer and Systems Sciences, Edited by S. Cojocaru, G. Pfister and V. Ufnarovski, IOS Press, V. 196, 2005, p. 305--324.
On orthogonality of binary operations and squares.
G.L. Mullen, V.A. Shcherbacov. Buletinul AS RM. Matematica. No 2(48), 2005, p. 3-42.
Construction and properties of (r,s,t)-inverse quasigroups.
A.D. Keedwell, V.A. Shcherbacov. I, Discrete Math., V. 266, No. 1-3, 2003, p. 275-291.
Properties of codes with one check symbol from a quasigroup point of view.
Gary L. Mullen, V.A. Shcherbacov. Buletinul AS RM. Matematica. No 3, 2002, p. 71-86.
On quasigroups with Moufang identity.
V. Shcherbacov, V. Izbash. Buletinul AS RM. Matematica. No 2, 1998, p. 109-116.

Membership in Societies and Editorial Boards

Mathematical Society of the Republic of Moldova.
Member of editorial board of the journal "Quasigroups and Related Systems".
Member of editorial board of the "Journal of Generalized Lie Theory and Applications".

Publications in Computer Science Journal of Moldova, Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica and Quasigroups and Related Systems

2022 Identities and generalized derivatives of quasigroups
2020 On groupoids with Bol-Moufang type identities
2018 Non-commutative finite associative algebras of 3-dimensional vectors
2017 Post-quantum No-key Protocol
2017 Non-commutative finite associative algebras of 2-dimension vectors
2016 On spectrum of medial T₂-quasigroups
2016 Valentin Belousov (20.02.1925 - 23.07.1988)
2015 Generating Cubic Equations as a Method for Public Encryption
2016 Some applications of quasigroups in cryptology
2016 Stream Deniable-Encryption Algorithms
2015 In memoriam: Galina B. Belyavskaya (1940-2015)
2015 Provably sender-deniable encryption scheme
2014 Bi-Deniable Public-Key Encryption Protocol which is Secure against Active Coercive Adversary
2013 Cryptoschemes Based on Difficulty of Simultaneous Solving Two Different Difficult Problems*
2013 Short signatures from the difficulty of factoring problem
2012 New signature scheme based on difficulty of finding roots
2005 Valentin Danilovich Belousov -- his life and work
2005 Remarks to the first publications of V. D. Belousov
2005 Quasigroups with an inverse property and generalized parastrophic identities
2005 Finite n-ary medial quasigroups and its automorphism
2010 Galina B. Belyavskaya's 70th birthday
2003 Check character systems over quasigroups and loops
2009 Quasigroups in cryptology
2007 On definitions of groupoids closely connected with quasigroups.
2005 On Bruck-Belousov Problem.
2005 On orthogonality of binary operations and squares.
2005 On the structure of finite medial quasigroups.
2004 On orders of elements in quasigroups.
2002 Properties of codes with one check symbol from a quasigroup point of view. (English)
1998 About sings of Bol loop translations. (English)
1998 A quasigroup with any of Moufang identities is a loop.
1996 About signs of Moufang loop translations. (English)
1994 On automorphism groups of left-distributive quasigroups. (Russian)