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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Pseudorandom number generator based on novel 2D Hénon-Sine hyperchaotic map with microcontroller implementation.

Daniel Murillo-Escobar1, Miguel Ángel Murillo-Escobar1, César Cruz-Hernández2

  • 1Engineering, Architecture and Design Faculty, Autonomous University of Baja California (UABC), Ensenada, Baja California Mexico.

Nonlinear Dynamics
|December 5, 2022
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Summary
This summary is machine-generated.

A new 2D hyperchaotic map enhances pseudorandom number generator (PRNG) security. This improved chaos-based PRNG offers better randomness and statistical properties for cryptographic applications.

Keywords:
2D Hénon-Sine hyperchaotic mapChaosMicrocontroller implementationPseudorandom number generatorSecurity analysis

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Area of Science:

  • Applied Mathematics and Cryptography
  • Complex Systems and Chaos Theory

Background:

  • Pseudorandom number generators (PRNGs) are crucial for cryptography.
  • Existing chaos-based PRNGs often suffer from poor uniformity and randomness.
  • There is a need for more secure and robust chaos-based PRNGs.

Purpose of the Study:

  • To propose a novel 2D hyperchaotic map for enhanced PRNG design.
  • To improve the statistical and random properties of chaos-based PRNGs.
  • To evaluate the security and performance of the proposed PRNG for cryptographic applications.

Main Methods:

  • Developed a novel 2D hyperchaotic map by combining Hénon and Sine maps with discrete-time feedback.
  • Enhanced the map's dynamics using the remainder after division function (rem).
  • Designed an 8-bit PRNG (PRNG-EHSHM) seeded by a 60-character hexadecimal key and validated using NIST 800-22 tests.

Main Results:

  • The enhanced Hénon-Sine hyperchaotic map (EHSHM) demonstrated improved Lyapunov exponent analysis, attractor trajectory, histograms, and initialization sensitivity.
  • The PRNG-EHSHM exhibited strong cryptographic properties, including a large key space and high information entropy.
  • NIST 800-22 statistical randomness tests confirmed the high quality of the generated pseudorandom numbers.

Conclusions:

  • The proposed EHSHM offers superior randomness and statistical properties compared to the original Hénon-Sine map.
  • The PRNG-EHSHM, based on the EHSHM, provides a secure and efficient solution for cryptographic applications.
  • The developed PRNG is suitable for implementation in embedded cryptographic systems utilizing chaos theory.