Nonlinear Dynamics

, Volume 94, Issue 2, pp 1117–1126 | Cite as

Security analysis and improvement of the pseudo-random number generator based on quantum chaotic map

  • Dragan Lambić
Original Paper


In this paper, a security analysis of the pseudo-random number generator based on quantum chaotic map is made, which reveals the existence of serious security problems. Security analysis revealed that more than 99% of the key space is composed of weak keys. Also, normalization of initial condition and relations between control parameters and initial conditions significantly reduce security of the analyzed pseudo-random number generator (PRNG). Observation of only three iterates of the analyzed PRNG allows significant reduction in required complexity of the brute-force attack. All attacks based on weak keys have complexity which is less than \(2^{128}\). For these reasons, analyzed PRNG cannot be considered safe for the use in cryptographic systems. In order to eliminate perceived security problems, improved version of the analyzed PRNG is proposed.


Chaos Pseudo-random number generator Cryptanalysis Cryptography 


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department for Management of Science and Technology DevelopmentTon Duc Thang UniversityHo Chi Minh CityVietnam
  2. 2.Faculty of Mathematics and StatisticsTon Duc Thang UniversityHo Chi Minh CityVietnam

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