Levitskaya, A. A. A combinatorial problem in the class of binary vectors of given weight. (English. Russian original) Zbl 1308.05003 Cybern. Syst. Anal. 48, No. 6, 870-872 (2012); translation from Kibern. Sist. Anal. No. 6, 72-75 (2012). MSC: 05A05 PDFBibTeX XMLCite \textit{A. A. Levitskaya}, Cybern. Syst. Anal. 48, No. 6, 870--872 (2012; Zbl 1308.05003); translation from Kibern. Sist. Anal. No. 6, 72--75 (2012) Full Text: DOI
Levitskaja, A. A. Solving the problem of invariance of probabilistic characteristics for a priori solvable systems of random nonlinear equations over a finite commutative ring with unity. (English. Russian original) Zbl 1288.60082 Cybern. Syst. Anal. 46, No. 3, 363-375 (2010); translation from Kibern. Sist. Anal. 2010, No. 3, 28-41 (2010). MSC: 60H25 13M99 PDFBibTeX XMLCite \textit{A. A. Levitskaja}, Cybern. Syst. Anal. 46, No. 3, 363--375 (2010; Zbl 1288.60082); translation from Kibern. Sist. Anal. 2010, No. 3, 28--41 (2010) Full Text: DOI
Levitskaya, A. A. Invariance theorems for a class of systems of random nonlinear equations over an arbitrary finite ring with left unity. (English. Russian original) Zbl 1186.60062 Cybern. Syst. Anal. 44, No. 6, 884-891 (2008); Translation from Kibern. Sist. Anal. 2008, No. 6, 106-115 (2008). MSC: 60H25 PDFBibTeX XMLCite \textit{A. A. Levitskaya}, Cybern. Syst. Anal. 44, No. 6, 884--891 (2008; Zbl 1186.60062) Full Text: DOI
Levitskaya, A. A. Description of some classes of equiprobable Boolean functions with no zero Fourier coefficients. (English. Russian original) Zbl 1123.94013 Cybern. Syst. Anal. 42, No. 6, 851-865 (2006); translation from Kibern. Sist. Anal. 42, No. 6, 95-111 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 94C10 PDFBibTeX XMLCite \textit{A. A. Levitskaya}, Cybern. Syst. Anal. 42, No. 6, 851--865 (2006; Zbl 1123.94013); translation from Kibern. Sist. Anal. 42, No. 6, 95--111 (2006) Full Text: DOI
Levitskaya, A. A. Systems of random equations over finite algebraic structures. (English. Russian original) Zbl 1085.60047 Cybern. Syst. Anal. 41, No. 1, 67-93 (2005); translation from Kibern. Sist. Anal. 2005, No. 1, 82-116 (2005). Reviewer: George Stoica (Saint John) MSC: 60H25 PDFBibTeX XMLCite \textit{A. A. Levitskaya}, Cybern. Syst. Anal. 41, No. 1, 67--93 (2005; Zbl 1085.60047); translation from Kibern. Sist. Anal. 2005, No. 1, 82--116 (2005) Full Text: DOI
Levitskaya, A. A. Invariance theorem for systems of random nonlinear Boolean equations. (Russian) Zbl 1098.60064 Ukrainian mathematical congress – 2001. Algebraic structures and their applications. Proceedings of the third international algebraic conference held in framework of the Ukrainian mathematical congress, Kiev, Ukraine, July 2–8, 2001. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2777-9). 76-79 (2002). MSC: 60H25 60C05 94A60 PDFBibTeX XMLCite \textit{A. A. Levitskaya}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Algebraïchni struktury ta ïkh zastosuvannya. Kyïv: Instytut Matematyky NAN Ukraïny. 76--79 (2002; Zbl 1098.60064)
Levitskaya, A. A. Invariance theorems for a class of nonlinear systems of equations over an arbitrary finite field. (English. Russian original) Zbl 0884.60011 Cybern. Syst. Anal. 32, No. 2, 239-247 (1996); translation from Kibern. Sist. Anal. 1996, No. 2, 103-112 (1996). Reviewer: L.Mutafchiev (Sofia) MSC: 60C05 94A60 PDFBibTeX XMLCite \textit{A. A. Levitskaya}, Cybern. Syst. Anal. 32, No. 2, 239--247 (1996; Zbl 0884.60011); translation from Kibern. Sist. Anal. 1996, No. 2, 103--112 (1996) Full Text: DOI
Kovalenko, I. N.; Levitskaya, A. A. Probabilistic properties of systems of random linear equations over finite algebraic structures. (English. Russian original) Zbl 0855.60059 Cybern. Syst. Anal. 29, No. 3, 385-390 (1993); translation from Kibern. Sist. Anal. 1993, No. 3, 100-105 (1993). Reviewer: He Sheng Wu (Shanghai) MSC: 60H99 11T99 60C05 PDFBibTeX XMLCite \textit{I. N. Kovalenko} and \textit{A. A. Levitskaya}, Cybern. Syst. Anal. 29, No. 3, 1 (1993; Zbl 0855.60059); translation from Kibern. Sist. Anal. 1993, No. 3, 100--105 (1993) Full Text: DOI
Kovalenko, I. N.; Levitskaya, A. A. Stochastic properties of systems of random linear equations over finite algebraic structures. (English) Zbl 0816.60010 Kolchin, V. F. (ed.) et al., Probabilistic methods in discrete mathematics. Proceedings of the third Petrozavodsk conference. Petrozavodsk (Russia), May 11-16, 1992. Moskva: TVP. Prog. Pure & Appl. Discret. Math. 1, 64-70 (1993). Reviewer: A.Ruciński (Poznań) MSC: 60C05 60B15 PDFBibTeX XMLCite \textit{I. N. Kovalenko} and \textit{A. A. Levitskaya}, in: Вероятностные методы дискретной\ математики. Труды третьей\ Петрозаводской\ конференции. Петрозаводск (Россия), 11-16 мая 1992 г. Moskva: TVP; Utrecht: VSP. 64--70 (1993; Zbl 0816.60010)
Levitskaya, A. A. The probability of consistency of a system of random linear equations over an arbitrary finite ring. (English) Zbl 0585.60018 Theory Probab. Appl. 30, 364-375 (1986). MSC: 60B15 PDFBibTeX XMLCite \textit{A. A. Levitskaya}, Theory Probab. Appl. 30, 364--375 (1986; Zbl 0585.60018) Full Text: DOI
Levitskaya, A. A. The probability of solvability of a system of random linear equations over a finite ring. (Russian) Zbl 0575.60006 Teor. Veroyatn. Primen. 30, No. 2, 339-350 (1985). Reviewer: A.Grincevičius MSC: 60B15 PDFBibTeX XMLCite \textit{A. A. Levitskaya}, Teor. Veroyatn. Primen. 30, No. 2, 339--350 (1985; Zbl 0575.60006)
Levitskaya, A. A. Invariance theorems for a system of linear random equations over a finite ring not containing a left unity. (Russian. English summary) Zbl 0558.60011 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 9, 71-72 (1984). MSC: 60B15 60H25 PDFBibTeX XMLCite \textit{A. A. Levitskaya}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 9, 71--72 (1984; Zbl 0558.60011)
Levitskaya, A. A. Invariance theorems for a system of random linear equations over an arbitrary finite ring. (English. Russian original) Zbl 0513.15001 Sov. Math., Dokl. 25, 340-342 (1982); translation from Dokl. Akad. Nauk SSSR 263, 289-291 (1982). MSC: 15A06 15B33 60H25 15B52 60F17 PDFBibTeX XMLCite \textit{A. A. Levitskaya}, Sov. Math., Dokl. 25, 340--342 (1982; Zbl 0513.15001); translation from Dokl. Akad. Nauk SSSR 263, 289--291 (1982)
Levitskaja, A. A. Invariance theorems for the limiting behaviour of the number of solutions for a system of random linear equations over a finite ring. (Russian) Zbl 0383.60032 Kibernetika, Kiev 1978, No. 2, 140-141 (1978). MSC: 60F99 60F17 PDFBibTeX XMLCite \textit{A. A. Levitskaja}, Kibernetika 1978, No. 2, 140--141 (1978; Zbl 0383.60032)
Kovalenko, I. N.; Levitskaya, A. A. Limit behavior of the number of solutions of a system of random linear equations over a finite field and a finite ring. (English) Zbl 0449.60018 Theory Probab. Math. Stat. 13, 73-87 (1977). MSC: 60F05 60H99 60C05 11T99 PDFBibTeX XMLCite \textit{I. N. Kovalenko} and \textit{A. A. Levitskaya}, Theory Probab. Math. Stat. 13, 73--87 (1977; Zbl 0449.60018)
Kovalenko, I. N.; Levitskaja, A. A. The limit behaviour of the number of solutions of a random linear system over a finite field and a finite ring. (Russian) Zbl 0397.60049 Teor. Veroyatn. Mat. Stat. 13, 70-83 (1975). MSC: 60H99 PDFBibTeX XML
Kovalenko, I. N.; Levitskaja, A. A. Limit behavior of the number of solutions of a system of random linear equations over a finite field or a finite ring. (English. Russian original) Zbl 0344.60014 Sov. Math., Dokl. 16, 418-421 (1975); translation from Dokl. Akad. Nauk SSSR 221, 778-781 (1975). MSC: 60B99 60F05 15A06 PDFBibTeX XMLCite \textit{I. N. Kovalenko} and \textit{A. A. Levitskaja}, Sov. Math., Dokl. 16, 418--421 (1975; Zbl 0344.60014); translation from Dokl. Akad. Nauk SSSR 221, 778--781 (1975)