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Improving the security and performance of linear random number generators is a crucial challenge. This chapter investigates various enhancement techniques, including combination generators such as the Wichmann-Hill method, which provides better uniformity and independence compared to traditional Lehmer congruential generators. Additionally, advanced methodologies like shuffle techniques, the TAC approach, and the DX generator are explored. The Addition, Rotation, and XOR (ARX) transformation is analyzed in detail, emphasizing its efficiency and cryptographic robustness. Empirical evaluations assess the impact of these improvements, demonstrating their effectiveness in secure and high-performance computing applications.

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Methods to Improve Security of the Linear Generators

  • 章节

  • 发表日期：

    2025年

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  • Lih-Yuan Deng,
  • Nirman Kumar,
  • Henry Horng-Shing Lu,
  • Ching-Chi Yang

摘要

Improving the security and performance of linear random number generators is a crucial challenge. This chapter investigates various enhancement techniques, including combination generators such as the Wichmann-Hill method, which provides better uniformity and independence compared to traditional Lehmer congruential generators. Additionally, advanced methodologies like shuffle techniques, the TAC approach, and the DX generator are explored. The Addition, Rotation, and XOR (ARX) transformation is analyzed in detail, emphasizing its efficiency and cryptographic robustness. Empirical evaluations assess the impact of these improvements, demonstrating their effectiveness in secure and high-performance computing applications.