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Electronic Circuit Realisation of a Chaotic Pseudo Random Bit Generator


Affiliations
1 Department of Electronics and Communication Engineering, LBS Centre for Science and Technology, India
2 Department of Electronics and Communication Engineering, TKM College of Engineering, India
     

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Most of the properties of chaotic systems like sensitivity to initial conditions, deterministic dynamics, mixing property, structural complexity can be considered as analogous to diffusion and confusion with small changes in plain text or the secret key, deterministic pseudo randomness and complex properties of cryptographic systems. The interesting relationship between cryptography and chaos leads to new, highly secure cryptographic techniques. The development of chaotic stream ciphers in cryptography requires the need for the generation of pseudo random bits and hence the need for pseudo random bit generators (PRBG). In this paper, circuit realisation of a pseudo random bit generator is presented, which is based on two chaotic maps, namely the logistic maps, running in parallel and starting from two random independent initial conditions. The circuit is being implemented and simulated for different initial conditions using Multisim software. The results obtained from simulation are further tested for randomness using the NIST suite tests and the detailed results of the statistical testing are also presented in this paper.

Keywords

Chaos, Logistic Map, PRBG, Multisim, NIST Suite.
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  • Electronic Circuit Realisation of a Chaotic Pseudo Random Bit Generator

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Authors

H. Soumya Babu
Department of Electronics and Communication Engineering, LBS Centre for Science and Technology, India
K. Gopakumar
Department of Electronics and Communication Engineering, TKM College of Engineering, India

Abstract


Most of the properties of chaotic systems like sensitivity to initial conditions, deterministic dynamics, mixing property, structural complexity can be considered as analogous to diffusion and confusion with small changes in plain text or the secret key, deterministic pseudo randomness and complex properties of cryptographic systems. The interesting relationship between cryptography and chaos leads to new, highly secure cryptographic techniques. The development of chaotic stream ciphers in cryptography requires the need for the generation of pseudo random bits and hence the need for pseudo random bit generators (PRBG). In this paper, circuit realisation of a pseudo random bit generator is presented, which is based on two chaotic maps, namely the logistic maps, running in parallel and starting from two random independent initial conditions. The circuit is being implemented and simulated for different initial conditions using Multisim software. The results obtained from simulation are further tested for randomness using the NIST suite tests and the detailed results of the statistical testing are also presented in this paper.

Keywords


Chaos, Logistic Map, PRBG, Multisim, NIST Suite.

References