A chaotic flux cipher based on the random cubic family $f_{c_n}(z)=z^3+c_n z$
This work proposes a symmetric stream cipher scheme based on chaotic dynamics in the complex plane to address the demanding requirements of high security and noise resilience in complex communication environments such as 5G. The method innovatively introduces the chaotic behavior of random cubic polynomial maps into cryptography, leveraging a control parameter δ to toggle between stable and chaotic regimes. It generates pseudorandom keystreams by exploiting the structural stability of Julia sets and integrates HKDF key derivation, HMAC-SHA-256 authenticated encryption, and a warm-up iteration mechanism. Experimental results demonstrate that the generated keystreams pass the full NIST SP 800-22 statistical test suite, χ² tests, and entropy analysis, achieving high randomness, strong security, and robustness against noise while maintaining key consistency.