A Pseudo-Random Bit Generator Using Three Chaotic Logistic Maps

Michael François (1) , David Defour (2)

1 LIFO - Laboratoire d'Informatique Fondamentale d'Orléans
2 DALI - Digits, Architectures et Logiciels Informatiques

A novel pseudo-random bit generator (PRBG) using three chaotic logistic maps is proposed. The algorithm generates at each iteration sequences of 32 bit-blocks by starting from randomly chosen initial seeds. The impact of relying on IEEE 754-2008 floating-point representation format for the generator is also taken into account. The performance of the generator is evaluated through various statistical analyses. The results show that the produced sequences possess high randomness statistical properties and good security level which make it suitable for cryptographic applications.

Mots clés: Chaotic map; Logistic map; PRBG; IEEE 754; Pseudo-random; Cryptography

Domaines: Architectures Matérielles [cs.AR]

Michael François, David Defour. A Pseudo-Random Bit Generator Using Three Chaotic Logistic Maps. [Research Report] LIRMM (UM, CNRS). 2013. ⟨hal-00785380⟩