The Distribution of the Rank of Random Matrices over a Finite Field

Abstract

Previous article Next article The Distribution of the Rank of Random Matrices over a Finite FieldG. V. BalakinG. V. Balakinhttps://doi.org/10.1137/1113076PDFBibTexSections 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.) MR0175164 Google Scholar[2] M. V. Kozlov, On the rank of matrices with random Boolean elements, Dokl. Akad. Nauk 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 the class of Boolean functions, Theory Prob. Applications, 12 (1967), 47–56 10.1137/1112005 0201.51002 LinkGoogle Scholar[4] P. Erdo˝s and , A. Rényi, On random matrices, Magyar Tud. Akad. Mat. Kutató Int. Közl, 8 (1964), 455–461 (1964) MR0167496 Google Scholar[5] G. V. Balakin, On random matrices, Theory Prob. Applications, 12 (1967), 301–307 10.1137/1112034 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Density of free modules over finite chain ringsLinear Algebra and its Applications, Vol. 651 Cross Ref The rank of sparse random matrices23 April 2022 | Random Structures & Algorithms, Vol. 195 Cross Ref Bounds on the expected rank of sparse linear operator channel matrices Cross Ref On the distribution of rank of a random matrix over a finite field1 January 2000 | Random Structures and Algorithms, Vol. 17, No. 3-4 Cross Ref On the distribution of rank of a random matrix over a finite field1 January 2000 | Random Structures and Algorithms, Vol. 17, No. 3-4 Cross Ref Invariance theorems for random Boolean matricesCybernetics, Vol. 11, No. 5 Cross Ref On the Distribution of the Number of Solutions of Systems of Random Boolean Equations28 July 2006 | Theory of Probability & Its Applications, Vol. 18, No. 3AbstractPDF (353 KB)Distribution of the Linear Rank of a Random Matrix17 July 2006 | Theory of Probability & Its Applications, Vol. 17, No. 2AbstractPDF (327 KB) Volume 13, Issue 4| 1968Theory of Probability & Its Applications History Submitted:12 June 1967Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1113076Article page range:pp. 594-605ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics