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To enhance the cryptographic security of LFSR-based random number generators by integrating chaos and optimization techniques.

February 2, 2026Chaos and fractals.Open Access

Design and Performance Evaluation of a Hybrid PRNG: Gold-SA II Optimized LFSR Combined with Discrete Chaotic Maps

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To enhance the cryptographic security of LFSR-based random number generators by integrating chaos and optimization techniques.
Developed a hybrid architecture combining LFSRs and chaotic maps.
Optimized irreducible polynomials and initial seed values using the Modified Golden Sine Algorithm.
Implemented a chaotic final processing layer to improve randomness after LFSR outputs.
Conducted NIST SP 800-22 statistical tests to evaluate randomness.
Chaotic processing significantly improves the randomness properties of the generator.
The hybrid design successfully passes all NIST statistical tests, indicating strong security performance.

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This research proposes a hybrid RNG combining optimized LFSRs with chaotic maps, improving security in cryptographic systems.

ERÖZ et al. (2026) studied this question.

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