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A new matrix test for randomness

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Publication:2390941
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DOI10.1007/s00607-009-0033-zzbMath1170.65004OpenAlexW2101975118MaRDI QIDQ2390941

Róbert Krchnavý, Otokar Grošek, Milan Vojvoda

Publication date: 10 August 2009

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-009-0033-z


zbMATH Keywords

Boolean matricesbinary matrix rank testindex period statistical test for randomness


Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Random number generation in numerical analysis (65C10)



Uses Software

  • NIST Statistical Test Suite


Cites Work

  • Fermat's theorem for matrices
  • The order of a matrix under multiplication (modulo \(m\))
  • The Euler-Fermat theorem for matrices
  • Cycle detection and correction
  • On the semigroup of binary relations on a finite set
  • On the extension of Fermat's theorem to matrices of order n
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