List of Publications of V.A. Shcherbacov

  1. Shcherbacov V.A. Some properties of full associated group of IP-loop. Izvestia AN MSSR. Ser. fiz.-techn. i mat. nauk, No 2, 1984, p. 51-52 (in Russian).
  2. Shcherbacov V.A. On medial distributive quasigroups. Abstr. of Commun. of the Republic Conference of Young Scientists. Shtiinta, Kishinev, 1986, p. 289 (in Russian).
  3. Shcherbacov V.A. On associated groups of quasigroups. Abstr. of Commun. of the X Soviet Simposium on Group Theory. Minsk, 1986, p. 286. (in Russian).
  4. Shcherbacov V.A. On congruences of medial quasigroups. Abstr. of Commun. of the XIX Soviet Algebraic Conference. L’vov, 1987. Part 1, p. 322 (in Russian).
  5. Shcherbacov V.A. On one class of medial quasigroups. Research of operations and quasigroups. Mat. Issled. Issue 102. Shtiinta. Kishinev, 1988, p. 111-115 (in Russian).
  6. Shcherbacov V.A. On leftdistributive quasigroups isotopic to groups. Materials of the XI Conference of Young Scientists of Friendship of Nations University. Moscow, 1988. Dep. v VINITI 01.07.88, No 5305-B88, p. 148-149 (in Russian).
  7. Shcherbacov V.A. On automorphism groups of group isotopes with an idempotent. IM AN MSSR. Reg. in VINITI 19.04.89, No 3530-B89. Moscow, 1989. 14 pages. (in Russian).
  8. Shcherbacov V.A. On automorphism groups of quasigroups and on linear quasigroups. IM AN MSSR. Reg. in VINITI 04.11.89, No 6710-B89. Moscow, 1989, 32 pages (in Russian).
  9. Shcherbacov V.A. On automorphism groups of group isotopes with an idempotent. International Algebraic Malcev conference. Novosibirsk, August 21 – 26, 1989. Abstr. of Commun. on Model Theory and Algebraic Systems. Novosibirsk, 1989, p. 159 (in Russian).
  10. Shcherbacov V.A. About automorphism groups of quasigroups isotopic to groups. Abstr. of Commun. of International Conference on Universal Algebra, Quasigroups and Related Systems. Jadvisin, Poland, 1989, p. 31.
  11. Shcherbacov V.A. Some observations about some groups which are associated with quasigroups and loops. Abstr. of Commun. of the II Republic Conference of Young Scientist. Kishinev, 1989, p. 44 (in Russian).
  12. Shcherbacov V.A. On congruences of quasigroups. IM AN MSSR. Reg. in VINITI 01.08.90, No 4413-B90. Moscow, 1990, 16 pages. (in Russian).
  13. Shcherbacov V.A. On automorphism groups of linear quasigroups. IM AN MSSR. Reg. in VINITI 28.09.90, No 5185-B90. Moscow, 1990, 12 pages. (in Russian).
  14. Shcherbacov V.A. On linear quasigroups and their automorphism groups. Binary and n-ary quasigroups. Mat. Issled. Issue 120. Shtiinta. Kishinev, 1991, p. 104-114 (in Russian).
  15. Shcherbacov V.A. On automorphism groups and simplicity some linear quasigroups. International conference on algebra in memory A.I.Shirshov. Barnaul, August 20-25, 1991. Collection of Theses on Logic and Universal Algebras, Application Algebra. Novosibirsk, 1991 p. 167 (in Russian).
  16. Shcherbacov V.A. On normality quasigroup congruences. International conference on algebra in memory A.I.Shirshov. Barnaul, August 20-25, 1991. Collection of Theses on Logic and Universal Algebras, Application Algebra. Novosibirsk, 1991, p. 168 (in Russian).
  17. Shcherbacov V.A. On some properties of quasigroup congruences. Collection of theses of the 27 scientific conference of the faculty of phys.-mathem. and nature sciences of the Friendship of Nations University. Moscow, 1991, p. 155 (in Russian).
  18. Shcherbacov V.A. On automorphism groups and congruences of quasigroups. IM AN MSSR. Synopsis of thesis. Kishinev. 1991, 10 p. (in Russian).
  19. Shcherbacov V.A. On automorphism groups and congruences of quasigroups. IM AN MSSR. Thesis of Ph. Degree. Kishinev. 1991, 88 pages. (in Russian).
  20. Shcherbacov V.A. On lattice isomorphic medial distributive quasigroups. Algebraic methods in geometry. The Friendship of Nations University. Moscow, 1992, p. 68-71 (in Russian).
  21. Izbash V.I., Shcherbacov V.A. On quasigroups with Moufang identity. Collection of Theses of the III International conference on algebra. Krasnojarsk, August 23-28, 1993, p. 134-135 (in Russian).
  22. Shcherbacov V.A. On automorphism groups of leftdistributive quasigroups. Collection of Theses of the III International Conference on Algebra. Krasnojarsk, August 23-28, 1993, p. 371-372 (in Russian).
  23. Shcherbacov V.A. On automorphism groups of leftdistributive quasigroups. Izvestiya AN RM. Matematica. No 2, 1994, p. 79-86 (in Russian).
  24. Shcherbacov V.A. Signs on loop Moufang latin squares. The Third ROMAI Conference Applied and Industrial Mathematics. Oradea, Romania and Chishinau, Moldova. August 17-25, 1995.Abstracts. Kishinev, p. 21.
  25. Shcherbacov V.A. About signs of Moufang loop translations. Buletinul AN RM. Matematica. No 1, 1996, p. 17-19.
  26. Shcherbacov V.A. About automorphisms and isomorphisms of quasigroups. Intern. conf. on Math. and Informatic. Abstracts. Chishinau, 1996, p.41.
  27. Shcherbacov V.A. On signs of loop translations. Intern. algebraic conference dedicated to the memory of prof. L.M.Gluskin (1922-1985), Slovyans’k, Ukraine, 25-29 August, 1997. IM Acad.of Sciences of Ukraine, Kiev,1997, p.39.
  28. A. Marini, V. Shcherbacov. About signs of Bol loop translations. Preprint IAMI, 97.6, Milan, Italy, 1997, 5 pages.
  29. V.Shcherbacov, V. Izbash. On quasigroups with Moufang identity. Buletinul AS RM. Matematica. No 2, 1998, p. 109-116.
  30. A.Marini, V. Shcherbacov. About signs of Bol loop translations. Buletinul AS RM. Matematica. No 3, 1998, p. 87-92.
  31. Shcherbacov V.A. On some groups associated with quasigroups. Second international algebraic conference in Ukraine dedicated to the memory of prof. L.A.Kaloujnine (1914-1990), Kyiv-Vinnytsia, Ukraine, 9 – 16 May 1999. Abstracts, Vinnytsia State Teacher’s Training University of Mykhailo Kots’ubyns’kyi, Vinnytsia, 1999, p. 44 – 45.
  32. A. Marini, V. Shcherbacov. About signs of Bol loop translations. International conference Loops’99, Praha, July 27 – August 1, 1999, Submitted Abstracts, Praha, 1999, p.23 – 24.
  33. Shcherbacov V.A. On normality of congruences of loops. International conference Loops’99, Praha, July 27 – August 1, 1999, Submitted Abstracts, Praha, 1999, p.34 – 35.
  34. V.Shcherbacov. On 20 Belousov’s problem. Preprint IAMI, 99.8, Milan, Italy, 1999.http://www.mi.imati.cnr.it/iami/papers/99-08.ps
  35. Shcherbacov V.A. Galina Borisovna Belyavskaya. A tribute in honor of her 60th birthday. Buletinul AN RM. Matematica. No 1 (32), 2000, p. 81-83.
  36. Shcherbacov V.A. On loops with the property (x-1)-1 = x: Third International algebraic conference in Ukraine Sumy, July, 2-8, 2001, Submitted abstracts, Sumy, 2001, p. 104.
  37. Shcherbacov V.A. On Bruck-Toyoda-Murdoch theorem and isomorphisms of some quasigroups. First Conference of the Mathematical Society of the Republic Moldova, Chisinau,
    August 16-18, 2001, Abstracts, Chisinau, 2001, p. 138-139.
  38. A.D.Keedwell, V.A.Shcherbacov. On m-inverse loops and quasigroups with a long inverse cycle. Australasian Journal of Combinatorics, v.26, 2002, p. 99-119.http://ajc.maths.uq.edu.au/pdf/26/ajc_v26_p099.pdf
  39. V.A.Shcherbacov. On n-ary Quasigroups and Their Possible Applications in Coding Theory and Cryptology, International Congress of Mathematicians, Beijing 2002, August 20-28. Abstracts of Short Communications and Poster Session, Beijing, 2002, p. 30-31.
  40. Gary L. Mullen, V.A. Shcherbacov, Properties of codes with one check symbol from a quasigroup point of view, Izvestiya AN RM. Matematica. No 3, 2002, p. 71-86.
  41. A.D. Keedwell, V.A. Shcherbacov, Construction and properties of (r,s,t)-inverse quasigroups. I, Discrete Math., V. 266, No. 1-3, 2003, p. 275-291.
  42. Shcherbacov V. On automorphisms of n-ary T-quasigroups, Collection of abstracts of V international conference “Algebra and Number Theory: Modern Problems and Applications”, Russia, Tula, May, 19 – 24, 2003, p. 289-290.
  43. Shcherbacov V. On possibilities of the system of the serial numbers of German banknotes to detect the most frequent errors and on some new systems of such kind, The 11-th Conference Applied and Industrial Mathematics. Oradea, Romania. May 29-31, 2003. Abstracts. Oradea, p. 63.
  44. A. Marini, V. Shcherbacov. On autotopies and automorphisms of n-ary medial quasigroups, International conference Loops’03, Praha, August 10 – August 17, 2003, Submitted Abstracts, Praha, 2003, p.26 – 28.
  45. A. Diordiev, V. Shcherbacov. On the existence of rst-inverse loops of small order, International conference Loops’03, Praha, August 10 – August 17, 2003, Submitted Abstracts, Praha, 2003, p. 10.
  46. V. Shcherbacov. On autotopies and automorphisms of n-ary medial quasigroups. 4th International Algebraic Conference in Ukraine Lviv, August, 4-9, 2003, Abstracts, Lviv, 2003, p. 205-206.
  47. V. Shcherbacov. About orthogonality of a quasigroup and its parastrophes. International Conference on Radicals (ICOR-2003), August 11-16, 2003, Chisinau, Moldova, Program and Abstracts, Chisinau, Moldova, 2003, p. 47-48.
  48. G.B. Belyavskaya, V.I. Izbash, V.A. Shcherbacov. Check character systems over quasigroups and loops, Quasigroups and related systems, 10, 2003, p. 1 – 28.
    http://www.quasigroups.eu/contents/download/2003/10_1.pdf
  49. Gary L. Mullen, Victor Shcherbacov. n-T-quasigroup codes with one check symbol and their error detection capabilities. Comment. Math. Univ. Carolinae, v. 45, no. 2, 2004, p. 321 – 340.http://www.karlin.mff.cuni.cz/cmuc/cmucemis/cmucemis.html
  50. Alberto Marini, Victor Shcherbacov. On autotopies and automorphisms of n-ary linear quasigroups Algebra and Discrete Mathematics, no. 2, 2004, p. 59 – 83.
    http://adm.luguniv.edu.ua/downloads/issues/2004/N2/adm-n2-7.pdf
  51. V.A. Shcherbacov, Construction and properties of (r,s,t)-inverse quasigroups, Second Conference of the Mathematical Society of the Republic of Moldova dedicated to the 40 anniversary of the foundation of the Institute of Mathematics and Computer Science of ASM, Chisinau, August, 17-19, 2004, Communications, Chisinau, 2004, p. 293-294.
  52. V.A. Shcherbacov, About orders of elements in quasigroups, IX Byelorussian mathematical conference, Grodno, November, 3-6, 2004, Abstract of Talks, vol. 2, Grodno, 2004, p. 18-20.
  53. A.D. Keedwell and V.A. Shcherbacov, Construction and properties of (r,s,t)-inverse quasigroups. II, Discrete Math. v. 288, 2004, p. 61-71.
  54. V. Shcherbacov, On orders of elements in quasigroups, Buletinul AS RM. Matematica. No 2(45), 2004, p. 49-54.
    http://www.cnaa.md/files/theses/2008/8175/victor_scerbacov_abstract.pdf
  55. Victor Shcherbacov, Error detection capabilities of codes with one check symbol and n-ary quasigroups, Abstracts on BiT+, IV International Conference on Information Technologies 2004, 3-7 May, 2004, Chisinau, Republic of Moldova, V.4, 2004, p. 165.
  56. Victor Shcherbacov, On simple n-ary medial quasigroups, Proceedings of Conference “Computational Commutative and Non-Commutative Algebraic Geometry”, NATO Science Series: Computer and Systems Sciences, Edited by S. Cojocaru, G. Poster and V. Ufnarovski, IOS Press, V. 196, 2005, p. 305-324.
  57. Victor Shcherbacov, On finite simple n-ary medial quasigroups, XIV International conference Problems of theoretical cybernetics, Penza, May 23-28, 2005, Abstracts of Talks, Moscow, 2005, p. 179, (in Russian).
  58. V. Shcherbacov, On the structure of finite medial quasigroups, Buletinul AS RM. Matematica. No 1(47), 2005, p. 11-18.http://www.math.md/files/basm/y2005-n1/y2005-n1-(pp11-18).pdf
  59. V.A. Shcherbacov, On automorphisms of n-T-quasigroups and structure of n-ary medial quasigroups. 5th International Algebraic Conference in Ukraine Odessa, July, 20-27, 2005, Abstracts, Odessa, 2005, p. 189-190.
  60. G.L. Mullen, V.A. Shcherbacov, On orthogonality of binary operations and squares, Buletinul AS RM. Matematica. No 2(48), 2005, p. 3-42.http://www.math.md/files/basm/y2005-n2/y2005-n2-(pp3-42).pdf
  61. G. B. Belyavskaya, W. A. Dudek and V. A. Shcherbacov, Valentin Danilovich Belousov – his live and work, Quasigroups and related systems, 13, 2005, p. 1-7.
    http://www.quasigroups.eu/contents/download/2005/13_1.pdf
  62. W. A. Dudek and V. A. Shcherbacov, Remarks to the first publications of V. D. Belousov, Quasigroups and related systems, 13, 2005, p. 13-24.http://www.quasigroups.eu/contents/download/2005/13_3.pdf
  63. A. D. Keedwell and V. A. Shcherbacov, Quasigroups with an inverse property and generalized parastrophic identities, Quasigroups and related systems, 13, 2005, p. 109-124.http://www.quasigroups.eu/contents/download/2005/13_9.pdf
  64. V. A. Shcherbacov, On structure of finite n-ary medial quasigroups and automorphism groups of these quasigroups, Quasigroups and related systems, 13, 2005, p. 125-156.
    http://www.quasigroups.eu/contents/download/2005/13_10.pdf
  65. Galina B. Belyavskaya, Wieslaw A. Dudek, Victor A. Shcherbacov, Valentin Danilovich Belousov (1925-1988), Buletinul AS RM. Matematica. No 3(49), 2005, p. 3-4.
  66. Victor Shcherbacov, On Bruck-Belousov problem, Buletinul AS RM. Matematica. No 3(49), 2005, p. 123-140.
    http://www.math.md/files/basm/y2005-n3/y2005-n3-(pp123-140).pdf
  67. Victor Shcherbacov, Transformations of groupoids which preserve the property of orthogonality, Mathematics applied in biology and biophysics, Abstracts. Iasi, June 16-17, 2006, p. 35-36.
  68. Victor Shcherbacov, On parastroph orthogonality of finite binary quasigroups, International Conference on Radicals, Abstracts. July 30 – August 5, 2006, Kyiv, Ukraine, p. 66-67.
  69. Victor Shcherbacov, About structure of finite n-ary medial quasigroups and their automorphism groups, The XIVth conference on applied and industrial mathematics, Communications, August 17-19, 2006, Chisinau August 17-19, 2006, p. 316-317.
  70. V.A. Shcherbacov, About quasigroup definitions. 6th International Algebraic Conference in Ukraine, Kamyanets-Podilsky, July, 1-7, 2007, Abstracts, Kamyanets-Podilsky, 2007, p. 189-190.
  71. V.A. Shcherbacov, On definitions of groupoids closely connected with quasigroups, Buletinul AS RM. Matematica. No 2(54), 2007, p. 43-54.http://www.math.md/files/basm/y2007-n2/y2007-n2-(pp43-54).pdf
  72. V. Shcherbacov, A. Tabarov. On simple groupoids and T-groupoids, International conference Loops’07, Praha, August 21 – August 24, 2007, Submitted Abstracts, Praha, 2007, p. 22.
  73. V. Shcherbacov. Systems of axioms for some classes of groupoids and quasigroups, International conference Loops’07, Praha, August 21 – August 24, 2007, Submitted Abstracts, Praha, 2007, p. 22.
  74. V.A. Shcherbacov, On T-congruences of some groupoids, Conference Algebraic Systems and their Applications in Differential Equations and other domains of mathematics dedicated to the memory of two eminent mathematicians of Moldova Vladimir A. Andrunachievici (1917-1997) and Constantin S. Sibirschi (1928-1990). Chisinau, August 21-23, 2007, Communications, Chisinau, 2007, p. 117-119.
  75. V.A. Shcherbacov, Construction of left E-quasigroups, International algebraic conference dedicated to the 100 anniversary of A.G. Kurosh. Moscow, May 27- June 3, 2008, Abstracts of Talks, Moscow, Department of Mechanics and Mathematics of the Moscow State University Printing House, 2008, p. 266-267 (in Russian).
  76. V.A. Shcherbacov, D.I. Pushkashu, On (r, s, t)-inverse loops and totally-anticommutative quasigroups, International algebraic conference dedicated to the 100 anniversary of A.G. Kurosh. Moscow, May 27- June 3, 2008, Abstracts of Talks, Moscow, Department of Mechanics and Mathematics of the Moscow State University Printing House, 2008, p. 265-266 (in Russian).
  77. V.A. Shcherbacov, On 1a Belousov problem, The 16th Conference on Applied and Industrial Mathematics, CAIM 2008. Oradea, October 9 – 11, 2008, Book of Abstracts, Oradea, 2008, p. 59-60.
  78. V.A. Shcherbacov, On the structure of left and right F-, SM- and E-quasigroups, arXiv:0811.1725, 67 pages. http://arxiv.org/pdf/0811.1725
  79. Борков П. В., Костинa А.А., Молдовян Н.А., Щербаков В.А. Конечныe группы с многомерной циклической структурой-новый примитив алгоритмов аутентификации, Regional Informatics-2008, XI St. Petersburg International conference, St. Petersburg, October 22-24, 2008, Proceedings ofthe Conference, St. Petersburg, 2008, p. 93-94.
  80. Дерновa Е.С., Нгуен Лe Минь, Костинa А.А., Щербаков В.А. Схемы цифровой подписи, взлом которых требует решения двух трудных задач в одной конечной группе, Regional Informatics-2008, XI St. Petersburg International conference, St. Petersburg, October 22-24, 2008, Proceedings of the Conference, St. Petersburg, 2008, p. 97-98.
  81. Н. А. Аль-Маджмаp, Л. В. Гортинская, В. А. Щербаков. Способ сокращения размера подписи в алгоритмах аутентификации, основанных на сложности факторизаци, Вопросы защиты информации. 2008. номеp 4. с. 8-11.
  82. Victor Shcherbacov, Despre quasigrupuri liniare si inverse si aplicarea lor in teoria codurilor, Autoreferat al tezei de doctor habilitat in stiinte fizico-matematice, 2008, 32 pages, (Romanian). http://www.cnaa.acad.md/files/theses/2008/8175/victor_scerbacov_abstract.pdf
  83. В. A. Щербаков, А. Х. Табаров, Д. И. Пушкашу, 0 конгруэнциях группоидов, тесно связанных c квазигруппами, Фундамент. M прикл. матем., 14:5 (2008), 237-251.
    http://www.mathnet.ru/php/getFT.phtml?jrnid=fpm&paperid=1154&what=fullt&option_lang=rus
  84. В.А. Щербаков, 0 луповых изотопах левых и правых F-, SM-, E-квазигрупп, The International Conference Modern problems ofmathematics, mechanics and their applications dedicated to the 70-th anniversary of rector of MSU acad. V.A. Sadovnichy. Moscow, March 30 – April 2, 2009, Matherials of the conference, Moscow, Department of Mechanics and Mathematics of the Moscow State University Printing House, 2009, p. 405.
  85. V.A. Shcherbacov, On loop isotopes of some quasigroups, 2nd Mile High Conference on Noncommutative Mathematics, June 21-27, 2009, University of Denver, Denver, Colorado, Abstracts of Talks, 2009, p. 13-14.
  86. Victor Shcherbacov, On the structure of left and right F-, SM-, and E-quasigroups, Journal of Generalized Lie Theory and Applications, Vol. 3 (2009), No. 3, 197-259.
    http://ashdin.com/journals/jglta/2009/3/v3_n3_6.pdf
  87. D.Pushkashu, V. Shcherbacov, On finite simple paramedial quasigroups, 7-th International Algebraic Conference in Ukraine, 18-23 August, Kharkov, 2009, Abstracts of Talks, p.112-113.
  88. D.Pushkashu, V. Shcherbacov, On the structure of finite paramedial quasigroups, Conference Mathematics & Information Technologies: Research and Education (MITRE-2009) Chsinau, October 8-9, 2009, Abstracts, p. 30-31.
  89. Ананьев М.Ю., Баженов А.А., Галанов А.И., Щербаков В.А. Стандарты и протоколы коллективной цифровой подписи, Материалы VI Санкт-Петербургской межрегиональной конференции “Информационная безопасность регионов России (ИБРР-2009)”. Санкт-Петербург, 28-30 октября. СПб.: СПОИСУ, 2009. С.83-84
  90. Доронин С.Е., Молдовянy П.А., Щербаков В.А. Построениe схем цифровой подписи на основе конечных групп трудно вычислимого порядка // Материалы VI Санкт-Петербургской межрегиональной конференции “Информационная безопасность Регионов России (ИБРР-2009)”. Санкт-Петербург, 28-30 октября. СПб.: СПОИСУ, 2009. С.99.
  91. Щербаков В.А., Костинa А.А., Молдовянy П.А., Молдовян Н.А. Примитивы цифровой подписи: конечныe группы с трехмерной цикличностью. Вопросы защиты информации. 2009. номеp 3. с. 9-15.
  92. V. A. Shcherbacov, A. Kh. Tabarov, and D. I. Puscasu. On congruences of groupoids closely connected with quasigroups, Journal of Mathematical Sciences. 2009. Vol. 163, No. 6, 785-795.
  93. V. A. Shcherbacov. Quasigroups in cryptology, Computer Science Journal of Moldova, vol.17, no. 2(50), 2009, 193–228.
    http://www.math.md/files/csjm/v17-n2/v17-n2-(pp-193-228).pdf
  94. V. A. Shcherbacov, D. I. Pushkashu, On the structure of finite paramedial quasigroups, Comment. Math. Univ. Carolin. vol. 51, no. 2, 2010, 357-370.
  95. V.A. Shcherbacov, D.I. Pushkashu, A.V. Shcherbacov, Equational quasigroup definitions,
    arXiv:1003.3175,, 2010, 4 pages, http://arxiv.org/pdf/1003.3175v1
  96. J.D. Phillips, V.A. Shcherbacov. Cheban loops, http://arxiv.org/1005.2750, 2010, 6 pages.http://arxiv.org/pdf/1005.2750v1.
  97. Scherbacov Victor, Pushkashu Dmitrii, Shcherbacov Alexei, Equational quasigroup definitions, AAA89 Workshop on General Algebra in connection with the Workshop on Non-Classical Algebraic Structures in Bedlewo, June 1-6, 2010, Abstracts, p. 169-172.
  98. J. D. Phillips and V. A. Shcherbacov, Cheban loops, Journal of Generalized Lie Theory and Applications, Vol. 4 (2010), Article ID G100501, 5 pages, doi:10.4303/jglta/G100501.
    http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jglta/1318365486
  99. Victor Shcherbacov, Dmitrii Pushkashu, Alexei Shcherbacov, On equational quasigroup definitions, Communications of Scientific Conference ”Actual Problems of Mathematics and Informatics”, Chisinau, September 24-25, 2010 Abstracts, p. 142-144.
  100. W.A. Dudek and V. Shcherbacov, Galina B. Belyavskaya’s 70th birthday, Quasigroups and related systems vol.18 (2010) No. 2, p. 105-112. http://www.quasigroups.eu/contents/download/2010/18_9.pdf
  101. V.A. Shcherbacov. A-nuclei and A-centers of a quasigroup, http://arxiv.org/1102.3525, 2011, 55 pages.http://arxiv.org/pdf/1102.3525v1
  102. V.A. Shcherbacov. A-nuclei and A-centers of a quasigroup, Technical report, Central European University, Department of Mathematics and its Applications, February 2011. 2011, 55 pages.
    http://mathematics.ceu.hu/sites/default/files/field_attachment/page/node-19269/victor.pdf
  103. V.A. Shcherbacov. On A-center of a quasigroup, International Workshop on Intelligent Information Systems, Institute of Mathematics and Computer Science, September 13-14, 2011, Chisinau, Proceeding IIS, 2011, 199-202.
  104. Piroska Csorgo, Victor Shcherbacov. On some quasigroup cryptographical primitives, arXiv:1110.6591v1, 2011, 11 pages.http://arxiv.org/abs/1110.6591
  105. G. B. Belyavskaya, V.I. Izbash, N.A. Moldovyan, V.A. Shcherbacov. Digital
    signature and secret-sharing schemes. Conferinta Nationala “Cercetarea si inovarea in parteneriat cu mediul de afaceri”, Chisinau, November 10, 2011, 159-164.
  106. Victor Shcherbacov. Quasigroup based crypto-algorithms, arXiv:1201.3016, 2012, 23 pages.http://arxiv.org/pdf/1201.3016v1
  107. Ales Drapal, Victor Shcherbacov. Identities and the group of isostrophisms, Comment. Math. Univ. Carolin. volume 53, number 3, (2012) 347-374.
  108. N. A. Moldovyan and V. A. Shcherbacov. New signature scheme based on difficulty of finding roots, Quasigroups and Related Systems volume 20, number 2, (2012) 261-266.
  109. V.A. Shcherbacov. Orthogonality of linear (alinear) quasigroups and their parastrophes, arXiv:1212.1804, 2012, 23 pages. http://arxiv.org/abs/1212.1804
  110. A.N. Berezin, N.A. Moldovyan, V.A. Shcherbacov. Cryptoschemes Based on Difficulty of Simultaneous Solving Two Different Difficult Problems, Computer Science Journal of Moldova v.21, n.2 (62), 2013, 280-290. http://www.math.md/files/csjm/v21-n2/v21-n2-(pp280-290).pdf
  111. A. N. Berezin, N. A. Moldovyan, V. A. Shcherbakov. General method for constructing cryptoschemes based on difficulty of simultaneous solving factoring and discrete logarithm problems. Вопросы защиты информации. 2014. номер 2. с. 3–11.
  112. N.A. Moldovyan, A.A. Moldovyan, V.A. Shcherbacov. Provably Sender-Deniable Encryption Scheme, The Third Conference of Mathematical Society of the Republic of Moldova dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, August 19-23, 2014, Chisinau, p. 134-141.
  113. V.A. Shcherbacov, N.A. Moldovyan. About one cryptoalgorithm, The Third Conference of Mathematical Society of the Republic of Moldova dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, August 19-23, 2014, Chisinau, p. 158-161.
  114. J.D. Phillips, D.I. Pushkashu, A.V. Shcherbacov, V.A. Shcherbacov. On Birkhoff’s quasigroup axioms. J. of Algebra, v.457, 2016, p. 7-17.
  115. Victor Shcherbacov. Elements of Quasigroup Theory and Applications, (2017), Taylor&Francis Group, CRC Press, Boca Raton, London, New York, 576 pages. ISBN-978-149-872-1554.

E-publications

  1. Victor Shcherbacov, Elements of quasigroup theory and some its applications in code theory and cryptology, 2003, 85 pages. http://www.karlin.mff.cuni.cz/~drapal/speccurs.pdf
  2. Victor Shcherbacov, On some known possible applications of quasigroups in cryptology, 2003, 15 pages. http://www.karlin.mff.cuni.cz/~drapal/krypto.pdf
  3. Victor Shcherbacov, Codes with one check symbol, their error detection capabilities and n-ary quasigroups, 2004, 1 page. http://www.math.kth.se/4ecm/abstracts/2.21.pdf
  4. Victor Shcherbacov, On linear and inverse quasigroups and their applications in code theory, Dissertation of Doctor of Sciences, 247 pages, (English),
    http://www.cnaa.md/files/theses/2008/8175/victor_scerbacov_abstract.pdf
  5. D. Pushkashu, A. Shcherbacov, V. Shcherbacov, Equational quasigroup definitions, http://www.mini.pw.edu.pl/aaa80/abstractsaaa80/49.pdf
  6. Victor A. Shcherbacov, Quasigroup-based Hybrid of a Code and a Cipher, ICT Innovations 2012, Secure and Intelligent Systems, (Editors Smile Markovski and Marjan Gusev), Web proceedings, ISSN 1857-7288, (2012) 411-418. http://ictinnovations.org/2012/htmls/papers/WebProceedings2012.pdf

Remark. Red color publications are mentioned in at least one from the following mathematical journals, namely, in: Mathematical Review; Zentralblatt fur Mathematik; Referativnyi Jurnal, Matematika (Soviet Union and Russian Federation).