Skip to main content

Cryptographic Pseudo-Random Bit Generator Based on New Combination Discrete Chaotic Systems

  • Conference paper
  • First Online:
Proceedings of International Conference on Emerging Technologies and Intelligent Systems (ICETIS 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 322))

  • 868 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Alhadawi HS et al (2020) Globalized firefly algorithm and chaos for designing substitution box. J Inf Secur Appl 55:102671

    Google Scholar 

  2. Alhadawi HS et al (2019) Designing a pseudorandom bit generator based on LFSRs and a discrete chaotic map. Cryptologia 43(3):190–211

    Article  Google Scholar 

  3. 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

    Article  Google Scholar 

  4. Ismail SM et al (2018) A new trend of pseudorandom number generator using multiple chaotic systems. Adv Sci Lett 24(10):7401–7406

    Google Scholar 

  5. 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

    Google Scholar 

  6. Short KM (1994) Steps toward unmasking secure communications. Int J Bifurcat Chaos 4(04):959–977

    Article  Google Scholar 

  7. May R (1976) Simple mathematical models with very complicated dynamics. Nature 261:459–467

    Google Scholar 

  8. Alzaidi AA et al (2018) A new 1D chaotic map and \beta-hill climbing for generating substitution-boxes. IEEE Access 6:55405–55418

    Article  Google Scholar 

  9. Alzaidi AA et al (2018) Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map. Complexity

    Google Scholar 

  10. 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

    Google Scholar 

  11. 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

    Article  Google Scholar 

  12. 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

    Google Scholar 

  13. Tutueva AV et al (2020) Adaptive chaotic maps and their application to pseudo-random numbers generation. Chaos Solitons Fractals 133:109615

    Google Scholar 

  14. Pincus SM (1991) Approximate entropy as a measure of system complexity. Proc Natl Acad Sci 88(6):2297–2301

    Article  MathSciNet  Google Scholar 

  15. 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

    Google Scholar 

  16. Murillo-Escobar M et al (2017) A novel pseudorandom number generator based on pseudorandomly enhanced logistic map. Nonlinear Dyn 87(1):407–425

    Article  MathSciNet  Google Scholar 

  17. Golomb S (1982) Shift register sequences. Park Press, Laguna Hills, CA Aegean

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hussam S. Alhadawi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

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

Download citation

Publish with us

Policies and ethics