XITOY TEOREMASI.

Authors

  • Berdieva Sevara Shahrisabz davlat pedogogika instituti talabari
  • Ulasheva Anvara Shahrisabz davlat pedogogika instituti talabari
  • Otaqulova Zarina Shahrisabz davlat pedogogika instituti talabari
  • Turayev Ziyavutdin Ilmiy rahbar

Keywords:

Xitoy qoldiqlar teoremasi, modul arifmetikasi, kriptografiya, RSA algoritmi, qoldiq kodlash tizimi.

Abstract

Ushbu maqolada Xitoy qoldiqlar teoremasining matematik asoslari, tarixiy shakllanish jarayoni, modul tenglamalarining yagona yechim bilan ta’minlanish mexanizmlari va teoremaning isboti ilmiy jihatdan yoritiladi. Shuningdek, teoremaning kriptografiya, axborot xavfsizligi, kodlash nazariyasi, kompyuter arxitekturasi va sonlar nazariyasidagi amaliy qo‘llanilishlari batafsil tahlil qilinadi. Teorema yordamida murakkab arifmetik amallarni soddalashtirish, ularga tezkor algoritmik yechim topish imkoniyatlari ochib beriladi.

References

Burton, D. M. Elementary Number Theory. McGraw-Hill, 2011.

Rosen, K. H. Discrete Mathematics and Its Applications. McGraw-Hill, 2019.

Lidl, R., Niederreiter, H. Introduction to Finite Fields and Their Applications. Cambridge University Press, 1994.

Koblitz, N. A Course in Number Theory and Cryptography. Springer, 1994.

Sunzi Suanjing (古典数学文献). Ancient Chinese mathematical manuscript

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Published

2025-11-30

How to Cite

Berdieva , S., Ulasheva , A., Otaqulova , Z., & Turayev , Z. . (2025). XITOY TEOREMASI. International Bulletin of Engineering and Technology, 5(11), 77–80. Retrieved from https://internationalbulletins.com/intjour/index.php/ibet/article/view/2266

Issue

Vol. 5 No. 11 (2025): International Bulletin of Engineering and Technology

Section

Articles

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