APPLICATION OF DYNAMIC CHAOTIC FUNCTIONS IN CRYPTOGRAPHY: CURRENT STATE AND PROSPECTS FOR DEVELOPMENT
DOI:
https://doi.org/10.56132/2791-3368-2026-3-67-60-71Keywords:
information protection, chaotic systems, dynamic functions, chaotic maps, key generation, pseudorandom sequences, information securityAbstract
This paper presents a review of modern approaches to the application of dynamic chaotic functions in cryptography. The main properties of chaotic systems that enable their use for information protection, including sensitivity to initial conditions, ergodicity, nonlinearity, and pseudorandomness, are considered. An analysis of existing applications of chaotic maps in cryptographic algorithms is carried out, including pseudorandom sequence generation, symmetric encryption, image protection, and lightweight cryptography for Internet of Things devices. The main advantages and limitations of chaos-based cryptosystems are identified, and the prospects for their further development in the era of post-quantum computing are discussed.
Downloads
References
1. Shannon C.E. Communication Theory of Secrecy Systems // Bell System
Technical Journal. – 1949. – Vol. 28, No. 4. – P. 656–715.
2. Matthews R. On the Derivation of a Chaotic Encryption Algorithm //
Cryptologia. – 1989. – Vol. 13, No. 1. – P. 29–42.
3. Baptista M.S. Cryptography with Chaos // Physics Letters A. – 1998. – Vol.
240. – P. 50–54.
4. Fridrich J. Symmetric Ciphers Based on Two-Dimensional Chaotic Maps //
International Journal of Bifurcation and Chaos. – 1998. – Vol. 8, No. 6. – P.
1259–1284.
5. Kocarev L. Chaos-Based Cryptography: A Brief Overview // IEEE Circuits
and Systems Magazine. – 2001. – Vol. 1, No. 3. – P. 6–21.
6. Alvarez G., Li S. Some Basic Cryptographic Requirements for Chaos-Based
Cryptosystems // International Journal of Bifurcation and Chaos. – 2006. –
Vol. 16, No. 8. – P. 2129–2151.
7. Strogatz S.H. Nonlinear Dynamics and Chaos: With Applications to Physics,
Biology, Chemistry and Engineering. – Boulder: Westview Press, 2018. –
498 p.
8. Devaney R.L. An Introduction to Chaotic Dynamical Systems. – New York:
CRC Press, 2018. – 336 p.
9. Hua Z., Zhou Y. Dynamic Chaotic System for Image Encryption // Signal
Processing. – 2020. – Vol. 175. – Article 107629.
10. Wang X., Zhang H., Bao X. A Novel Hyperchaotic Image Encryption
Algorithm Based on DNA Encoding and Chaos // Multimedia Tools and
Applications. – 2021. – Vol. 80. – P. 19687–19712.
11. Farhan A.K., Ali A.H., Hasson N.K. Chaos-Based Cryptography: A Survey
on Present State and Future Directions // Journal of Information Security and
Applications. – 2021. – Vol. 59. – Article 102837.
12. Abd El-Latif A.A., Niu X., Wang L. Efficient Chaos-Based Cryptosystem
for Secure Communications // IEEE Access. – 2022. – Vol. 10. – P.
25248–25261.
13. Alawida M., Samsudin A., Teh J.S. A Survey on Chaos-Based
Cryptosystems: Implementations and Applications // Mathematics. – 2022. –
Vol. 10, No. 18. – Article 3308.
14. Zhang Y., Li C., Ou R. Survey on Image Encryption Techniques Using
Chaotic Maps in Spatial Transform and Spatiotemporal Domains //
International Journal of Network Security. – 2022. – Vol. 24, No. 5. – P.
835–850.
15. Bhatia S., Sood S.K. Lightweight Chaos-Based Security Mechanisms for
Internet of Things: A Review // Journal of King Saud University – Computer
and Information Sciences. – 2023. – Vol. 35, No. 6. – P. 101622.
16. Hameed A., Mahmood A., Khalaf O. A Review of Chaotic Maps Used for
Generating Secure Random Keys // BIO Web of Conferences. – 2024. – Vol.
119. – Article 00070.
17. Naskar P., Roy S. Robust Chaotic Tent Map-Based Cryptographically Secure
Pseudorandom Number Generator // arXiv. – 2024. – arXiv:2408.05580.
18. Wang J., Liu Y., Chen X. Hyperchaotic Systems in Modern Cryptography:
Recent Advances and Challenges // Entropy. – 2025. – Vol. 27, No. 3. –
Article 215.
19. Zhang L., Wu H. Dynamic S-Box Construction Using Hyperchaotic Systems
for Symmetric Encryption // Electronics. – 2025. – Vol. 14, No. 11. – Article
2198.
20. Kumar R., Sharma P. Chaos-Based Lightweight Cryptography for IoT
Devices: Current Trends and Future Perspectives // Peer-to-Peer Networking
and Applications. – 2025. – Vol. 18. – P. 1452–1471.
