CRYPTOGRAPHICALLY SECURE RANDOM NUMBER GENERATION BASED ON A CHAOTIC SYSTEM: A NOVEL ENTROPY LAMP SYSTEM

Date

2026-1-21

Author

Güneyi, Hakan Önder

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Chaotic systems are sensitive to initial conditions and enhance security by introducing unpredictability. This study aims to develop a cryptographically secure random number generator using captured pixels from an entropy lamp system as high-entropy seeds. This thesis was inspired by the observation that RGB color space has extra degrees of entropy compared to gray-scale images in key generation. To utilize this idea, the research investigates three critical factors: An entropy lamp fluid designed to provide the chaotic motion, multi-color entropy particle mixture to obtain higher entropy from each three subspaces of RGB color space, and an entropy extraction method to maximize randomness by combining three subspaces of RGB space as three independent variables. The system is evaluated by using NIST SP 800-90B and NIST SP800-22 Rev. 1a, which assess entropy levels and statistical randomness, respectively. The entropy lamp system consists of four entropy lamps and produces raw data with an entropy level greater than 7, tested on 1 MB raw data chunks, with a total of almost over 140 GB. The entropy system output achieves an entropy level of approximately 7.99 after conditioning.

Subject Keywords

Entropy, Chaotic Systems, Cryptographically Secure Random Number Generator, Entropy Lamp, Seed Generation, RBG Color Space

URI

https://hdl.handle.net/11511/118426

Collections

Graduate School of Applied Mathematics, Thesis