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The strict avalanche criterion randomness test

Author

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  • Castro, Julio Cesar Hernandez
  • Sierra, José María
  • Seznec, Andre
  • Izquierdo, Antonio
  • Ribagorda, Arturo

Abstract

A new statistical test for randomness, the strict avalanche criterion (SAC) test, is presented, together with its results over some well-known generators in the literature. These results are analyzed and some possible applications of the test, as for measuring the strength of cryptographic primitives including block ciphers, stream ciphers and pseudorandom number generators, especially during the design and analysis phase, are detailed. Finally, the source code for a basic version of the SAC test is provided, which proves some of its other advantages: it is easy to implement, and very fast so well-suited for practical applications.

Suggested Citation

  • Castro, Julio Cesar Hernandez & Sierra, José María & Seznec, Andre & Izquierdo, Antonio & Ribagorda, Arturo, 2005. "The strict avalanche criterion randomness test," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(1), pages 1-7.
    • Handle: RePEc:eee:matcom:v:68:y:2005:i:1:p:1-7
    DOI: 10.1016/j.matcom.2004.09.001
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    References listed on IDEAS

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    1. Marsaglia, George & Tsang, Wai Wan, 2002. "Some Difficult-to-pass Tests of Randomness," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 7(i03).
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    Cited by:

    1. Liu, Xilin & Tong, Xiaojun & Wang, Zhu & Zhang, Miao, 2022. "A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its’ applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Li, Binglun & Sun, Kehui & Wang, Huihai & Liu, Wenhao, 2024. "A delay-disturbance method to counteract the dynamical degradation of digital chaotic systems and its application," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    3. Zhu, Hegui & Ge, Jiangxia & Qi, Wentao & Zhang, Xiangde & Lu, Xiaoxiong, 2022. "Dynamic analysis and image encryption application of a sinusoidal-polynomial composite chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 188-210.
    4. Erkan, Uğur & Toktas, Abdurrahim & Lai, Qiang, 2023. "Design of two dimensional hyperchaotic system through optimization benchmark function," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    5. Toktas, Abdurrahim & Erkan, Uğur & Gao, Suo & Pak, Chanil, 2024. "A robust bit-level image encryption based on Bessel map," Applied Mathematics and Computation, Elsevier, vol. 462(C).
    6. Lai, Qiang & Hu, Genwen & Erkan, Uǧur & Toktas, Abdurrahim, 2023. "High-efficiency medical image encryption method based on 2D Logistic-Gaussian hyperchaotic map," Applied Mathematics and Computation, Elsevier, vol. 442(C).

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