The Probability of Consistency of a System of Random Linear Equations over an Arbitrary Finite Ring

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Previous article Next article The Probability of Consistency of a System of Random Linear Equations over an Arbitrary Finite RingA. A. LevitskayaA. A. Levitskayahttps://doi.org/10.1137/1130040PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] I. N. Kovalenko, A limit theorem for determinants in the class of Boolean functions, Dokl. Akad. Nauk SSSR, 161 (1965), 517–519, (In Russian.) 30:5349 Google Scholar[2] M. V. Kozlov, On the rank of matrices with random Boolean elements, Dokl. AN SSSR, 169 (1966), 1013–1016, (In Russian.) Google Scholar[3] I. N. Kovalenko, On the limit distribution of the number of solutions of a random system of linear equations in a class of Boolean functions, Theory Prob. Applications, 12 (1967), 47–56 LinkGoogle Scholar[4] I. N. Kovalenko, Invariance theorems for random Boolean matrices, Kibernetika (Kiev), (1975), 138–152, (In Russian.) 56:16752 Google Scholar[5] I. N. Kovalenko and , A. A. Levitskaya, Limiting behavior of the number of solutions of a system of random linear equations over a finite field and a finite ring, Dokl. Akad. Nauk SSSR, 221 (1975), 778–781, (In Russian.) 52:1854 Google Scholar[6] A. A. Levitskaya, Invariance theorems for the limit behavior of the number of solutions for a system of random linear equations over a finite ring, Kibernetika (Kiev), (1978), 140–141, (In Russian.) 58:18693 0383.60032 Google Scholar[7] A. A. Levitskaya, Invariance theorems for a system of random linear equations over an arbitrary finite ring, Dokl. Akad. Nauk SSSR, 263 (1982), 289–291, (In Russian.) 83g:60046 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 30, Issue 2| 1986Theory of Probability & Its Applications History Submitted:02 June 1983Published online:17 July 2006 InformationCopyright © 1986 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1130040Article page range:pp. 364-375ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics