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This paper delineates the design stages of a New Pseudorandom Binary Generator Model that integrates Galois-type Linear Feedback Shift Registers (LFSRs) with coupled nonlinear filtering Boolean functions, employing combination Boolean functions arranged in cascade.The process encompasses the following: definition of the model, characterization of the Galois-type LFSRs, selection of distinct Galois-type LFSRs, and selection of the Boolean functions based on select optimal cryptographic properties. The construction of the generator using the selected components and the design of the key generation are also demonstrated. Finally, the statistical randomness tests adopted, the criteria for analyzing the test results, and the length and number of sequences to be evaluated are detailed.

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Design Process of a New Pseudorandom Binary Generator Model

  • 会议论文

  • 发表日期：

    2025年

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  • Narayan Debnath,
  • Andrés Francisco Farías,
  • Andrés Alejandro Farías,
  • Ana Gabriela Garis,
  • Daniel Riesco,
  • Germán Antonio Montejano

摘要

This paper delineates the design stages of a New Pseudorandom Binary Generator Model that integrates Galois-type Linear Feedback Shift Registers (LFSRs) with coupled nonlinear filtering Boolean functions, employing combination Boolean functions arranged in cascade.The process encompasses the following: definition of the model, characterization of the Galois-type LFSRs, selection of distinct Galois-type LFSRs, and selection of the Boolean functions based on select optimal cryptographic properties. The construction of the generator using the selected components and the design of the key generation are also demonstrated. Finally, the statistical randomness tests adopted, the criteria for analyzing the test results, and the length and number of sequences to be evaluated are detailed.