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Acceleration of Wheel Factoring Techniques

Author

Listed:
  • Alaa M. Zaki

    (Computer Science Department, Faculty of Science, Minia University, Minia 61519, Egypt)

  • M. E. Bakr

    (Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Arwa M. Alsahangiti

    (Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Saima Khan Khosa

    (Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK S7N 5A2, Canada)

  • Khaled A. Fathy

    (Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Egypt)

Abstract

The efficiency with which an integer may be factored into its prime factors determines several public key cryptosystems’ security in use today. Although there is a quantum-based technique with a polynomial time for integer factoring, on a traditional computer, there is no polynomial time algorithm. We investigate how to enhance the wheel factoring technique in this paper. Current wheel factorization algorithms rely on a very restricted set of prime integers as a base. In this study, we intend to adapt this notion to rely on a greater number of prime integers, resulting in a considerable improvement in the execution time. The experiments on composite numbers n reveal that the proposed algorithm improves on the existing wheel factoring algorithm by about 75 % .

Suggested Citation

  • Alaa M. Zaki & M. E. Bakr & Arwa M. Alsahangiti & Saima Khan Khosa & Khaled A. Fathy, 2023. "Acceleration of Wheel Factoring Techniques," Mathematics, MDPI, vol. 11(5), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1203-:d:1084321
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