KATTA SONLARNI FAKTORIZATSIYA QILISH MUAMMOSINI SAMARALI HAL QILISHDA SHOR ALGORITIMDA FOYDALANISHNING BOSHQA ALGORITMLARDA SAMARADORLIGI

Authors

  • Toirov Sh. A. “Toshkent menejment va iqtisodiyot instetuti“ muxandis va axborot texnologiyalari kafedrasining dotsent
  • Saidakhmedov E. I. “Denov tadbirkorlik va pedogogika instituti” axborot texnologiyalari kafedrasi o‘qituvchisi
  • Qo’ldoshov Sh. A “Denov tadbirkorlik va pedogogika instituti” Kompyuter injiniring yo’nalishi 3-kurs

Keywords:

Faktorizatsiya, Shor algoritmi, RSA algoritmi, Brute Force algoritmi, Trial Division algoritmi, Fermatning faktorizatsiya usulli, Pollard’s Rho algoritm.

Abstract

Ushbu maqoladi katta sonlarni faktoralizatsiya qilish uchun ishlatiladigan Shor algoritimini boshqa RSA, Brute Force, Trial Division, Fermatning foktaralizatsiya usuli, Pollard Rho algoritmidan farqlari pythonning numpy va pyplot va kutubxonalarni qollsh ososida olingan natijalar orqali tahlil qilinadi.

References

Cormen, T. H., Leiserson, C. E., Rivest, R. L., & Stein, C. Introduction to Algorithms. MIT Press, 2009.

Crandall, R., & Pomerance, C. Prime Numbers: A Computational Perspective. Springer, 2005.

Riesel, H. Prime Numbers and Computer Methods for Factorization. Birkhäuser Basel, 2012.

Bressoud, D. M. Factorization and Primality Testing. Springer, 1989.

Pollard, J. M. "A Monte Carlo Method for Factorization." BIT Numerical Mathematics, 15(3), 1975, pp. 331-334.

Knuth, D. E. The Art of Computer Programming, Volume 2: Seminumerical Algorithms. Addison-Wesley, 1997.

Shor, P. W. "Algorithms for Quantum Computation: Discrete Logarithms and Factoring." Proceedings of the 35th Annual Symposium on Foundations of Computer Science, 1994, pp. 124-134.

Nielsen, M. A., & Chuang, I. L. Quantum Computation and Quantum Information. Cambridge University Press, 2010.

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Published

2024-12-05

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Articles

How to Cite

KATTA SONLARNI FAKTORIZATSIYA QILISH MUAMMOSINI SAMARALI HAL QILISHDA SHOR ALGORITIMDA FOYDALANISHNING BOSHQA ALGORITMLARDA SAMARADORLIGI. (2024). Proceedings of International Conference on Scientific Research in Natural and Social Sciences, 3(12), 162-171. https://econferenceseries.com/index.php/srnss/article/view/6205