A Pseudo-Random Bit Generator Based on Three Chaotic Logistic Maps and IEEE 754-2008 Floating-Point Arithmetic

  • Michael François
  • David Defour
  • Pascal Berthomé
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8402)


A novel pseudo-random bit generator (PRBG), combining three chaotic logistic maps is proposed. The IEEE 754-2008 standard for floating-point arithmetic is adopted and the binary64 double precision format is used. A more efficient processing is applied to better extract the bits, from outputs of the logistic maps. The algorithm enables to generate at each iteration, a block of 32 random bits by starting from three chosen seed values. The performance of the generator is evaluated through various statistical analyzes. The results show that the output sequences possess high randomness statistical properties for a good security level. The proposed generator lets appear significant cryptographic qualities.


PRBG Pseudo-random Logistic map Chaotic map IEEE 754-2008 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Michael François
    • 1
  • David Defour
    • 2
  • Pascal Berthomé
    • 1
  1. 1.INSA Centre Val de LoireUniv. Orléans, LIFOBourgesFrance
  2. 2.Univ. Perpignan Via Domitia, DALI F-66860, LIRMM UMR 5506PerpignanFrance

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