Abstract
Traditional 1-D discrete chaotic systems are not suitable to use directly in PRBG design for their cryptographic usage as their structures are simple and have predictability. Pseudo-random sequences have wide applications in image and video encryption, hash functions, spread spectrum communications, etc. In chaos-based cryptography, chaotic systems have been regarded as an important pseudorandom source in the design of pseudo-random bit generators due to its inherent properties of sensitive dependence on initial conditions and parameters. In order to improve the dynamism and features of standard logistic map, a 1-D discrete combination chaos model is proposed in this paper. The chaos model enables to construct new chaotic systems with combination of logistic map and Trigonometric functions. The performance analysis shows that the new systems are more complex and better than the original Logistic map. Further, we also propose to present a new pseudo-random bit generator based on new log-tan chaotic system and log-cot chaotic system. The randomness and other statistic analysis show that our pseudo-random bit generator has good randomness features, satisfy the linear complexity and balancedness requirements well.
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References
Alhadawi HS et al (2020) Globalized firefly algorithm and chaos for designing substitution box. J Inf Secur Appl 55:102671
Alhadawi HS et al (2019) Designing a pseudorandom bit generator based on LFSRs and a discrete chaotic map. Cryptologia 43(3):190–211
Ahmed HAS et al (2018) Pseudo random bits’ generator based on Tent chaotic map and linear feedback shift register. Adv Sci Lett 24(10):7383–7387
Ismail SM et al (2018) A new trend of pseudorandom number generator using multiple chaotic systems. Adv Sci Lett 24(10):7401–7406
Alhadawi HS et al (2020) A novel method of S-box design based on discrete chaotic maps and cuckoo search algorithm. Multimedia Tools Appl 1–18
Short KM (1994) Steps toward unmasking secure communications. Int J Bifurcat Chaos 4(04):959–977
May R (1976) Simple mathematical models with very complicated dynamics. Nature 261:459–467
Alzaidi AA et al (2018) A new 1D chaotic map and \beta-hill climbing for generating substitution-boxes. IEEE Access 6:55405–55418
Alzaidi AA et al (2018) Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map. Complexity
Singla P, Sachdeva P, Ahmad M (2014) A chaotic neural network based cryptographic pseudo-random sequence design. In: 2014 fourth international conference on advanced computing & communication technologies. IEEE
Alawida M, Samsudin A, Teh JS (2020) Enhanced digital chaotic maps based on bit reversal with applications in random bit generators. Inf Sci 512:1155–1169
Ahmad M, Farooq O (2011) Chaos based PN sequence generator for cryptographic applications. In: 2011 international conference on multimedia, signal processing and communication technologies. IEEE
Tutueva AV et al (2020) Adaptive chaotic maps and their application to pseudo-random numbers generation. Chaos Solitons Fractals 133:109615
Pincus SM (1991) Approximate entropy as a measure of system complexity. Proc Natl Acad Sci 88(6):2297–2301
Rukhin A et al (2001) A statistical test suite for random and pseudorandom number generators for cryptographic applications. Booz-allen and hamilton inc mclean va
Murillo-Escobar M et al (2017) A novel pseudorandom number generator based on pseudorandomly enhanced logistic map. Nonlinear Dyn 87(1):407–425
Golomb S (1982) Shift register sequences. Park Press, Laguna Hills, CA Aegean
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Hamid, M., Ahmad, M., Alhadawi, H.S., Chandhok, S. (2022). Cryptographic Pseudo-Random Bit Generator Based on New Combination Discrete Chaotic Systems. In: Al-Emran, M., Al-Sharafi, M.A., Al-Kabi, M.N., Shaalan, K. (eds) Proceedings of International Conference on Emerging Technologies and Intelligent Systems. ICETIS 2021. Lecture Notes in Networks and Systems, vol 322. Springer, Cham. https://doi.org/10.1007/978-3-030-85990-9_73
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DOI: https://doi.org/10.1007/978-3-030-85990-9_73
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