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A generalized framework for elliptic curves based PRNG and its utilization in image encryption.

Sherif H AbdElHaleem1, Salwa K Abd-El-Hafiz2, Ahmed G Radwan3,4

  • 1Engineering Mathematics Department, Faculty of Engineering, Cairo University, Giza, 12613, Egypt. sherif.muhamed.a@eng-st.cu.edu.eg.

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Summary
This summary is machine-generated.

This study introduces a framework for designing Elliptic Curve (EC)-based Pseudorandom Number Generators (PRNGs). The proposed EC-PRNG demonstrates strong security for image encryption, validated by NIST tests.

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Area of Science:

  • Cryptography and Information Security
  • Applied Mathematics and Computer Science

Background:

  • Elliptic Curves (ECs) are increasingly vital in modern encryption.
  • Pseudorandom Number Generators (PRNGs) are crucial for secure cryptographic systems.
  • Existing EC-based PRNG designs lack a unified framework.

Purpose of the Study:

  • To propose a novel framework for designing Elliptic Curve (EC)-based Pseudorandom Number Generators (PRNGs).
  • To classify and map existing PRNG design techniques within the proposed EC framework.
  • To evaluate the security of an EC-PRNG applied to image encryption.

Main Methods:

  • Development of a structured framework for EC-based PRNG design.
  • Classification of PRNG techniques into iterative and non-iterative categories.
  • Implementation and validation of a novel EC-PRNG using the NIST statistical test suite.
  • Security assessment of an image encryption system utilizing the developed EC-PRNG.

Main Results:

  • The proposed framework effectively categorizes EC-based PRNG design strategies.
  • The designed EC-PRNG passes the rigorous NIST statistical test suite.
  • The image encryption system demonstrates robust security against various attacks.
  • Promising performance and security compared to related cryptographic works.

Conclusions:

  • The proposed EC-based PRNG framework offers a systematic approach to cryptographic design.
  • The developed EC-PRNG is a secure and effective component for image encryption.
  • The findings highlight the potential of EC cryptography in enhancing data security.