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On the use of dynamical systems in cryptography

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  • Everett, Samuel

Abstract

Ever since the link between nonlinear science and cryptography became apparent, the problem of applying chaotic dynamics to the construction of cryptographic systems has gained a broad audience and has been the subject of thousands of papers. Yet, the field has not found its place in mainstream cryptography, largely due to persistent weaknesses in the presented systems. The goal of this paper is to help remedy this problem in two ways. The first is by providing a new algorithm that can be used to attack – and hence test the security of – stream ciphers based on the iteration of a chaotic map of the interval. The second is to cast discrete dynamical systems problems in a modern cryptographic and complexity theoretic language, so that researchers working in chaos-based cryptography can begin designing cryptographic protocols that have a better chance of meeting the extreme standards of modern cryptography.

Suggested Citation

  • Everett, Samuel, 2024. "On the use of dynamical systems in cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924005046
    DOI: 10.1016/j.chaos.2024.114952
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    References listed on IDEAS

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    1. Sun, Fuyan & Liu, Shutang, 2009. "Cryptographic pseudo-random sequence from the spatial chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2216-2219.
    2. Tutueva, Aleksandra V. & Karimov, Artur I. & Moysis, Lazaros & Volos, Christos & Butusov, Denis N., 2020. "Construction of one-way hash functions with increased key space using adaptive chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
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