the Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application: Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application

Saydullayev, Eldorjon, Rahmatullayev, Ilhom, Boyquziyev, Ilxom, Umurzakov, Oybek

Al-Farg'oniy avlodlari · 2024-yil

Annotatsiya

This paper analyzes the mathematical foundations of the transfer of asymmetric cryptographic algorithms to elliptic curves and their applications. Asymmetric cryptography, such as RSA and Diffie-Hellman algorithms, have long been used in secure communication and data protection. However, due to the large key length and computational complexity, these systems become difficult to apply in resource-constrained environments. Elliptic curve cryptography (ECC) has emerged as an effective solution to these problems. ECC provides a high level of security in a small key length. The article describes in detail the mathematical basis of ECC algorithms, their security advantages and their practical application.

Maqola ma’lumotlari
MualliflarSaydullayev, Eldorjon, Rahmatullayev, Ilhom, Boyquziyev, Ilxom, Umurzakov, Oybek
JurnalAl-Farg'oniy avlodlari
NashriyotТАТУ Фарғона филиали
ISSN2181-4252
Nashr sanasi2024-10-20
Son3
Betlar101-108
TilIngliz
Ilmiy sohaTexnika
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

Asimmetrik kriptografiya, Elliptik egri chiziqlar, Diskret logarifm, El-Gamal shifrlash algoritmi, Xavfsizlik, Kalit uzunligi, Matematik murakkablik, Diffie-Hellman, ECC (Elliptik Egri Chiziqlar Kriptografiyasi), Asimmetrik kriptografiya, Elliptik egri chiziqlar, Diskret logarifm, El-Gamal shifrlash algoritmi, Xavfsizlik, Kalit uzunligi, Matematik murakkablik, Diffie-Hellman, ECC

Ilmiy soha

Texnika

Iqtibos keltirish

APASaydullayev, Eldorjon, Rahmatullayev, Ilhom, Boyquziyev, Ilxom, & Umurzakov, Oybek (2024). the Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application: Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application. Al-Farg'oniy avlodlari, (3), 101-108. https://al-fargoniy.uz/index.php/journal/article/view/447
GOST (OAK)Saydullayev, Eldorjon va b. the Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application: Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application // Al-Farg'oniy avlodlari. – 2024. – № 3. – P. 101-108.
MLASaydullayev, Eldorjon, Rahmatullayev, Ilhom, Boyquziyev, Ilxom, and Umurzakov, Oybek. “the Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application: Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application.” Al-Farg'oniy avlodlari, (3), 101-108, 2024. https://al-fargoniy.uz/index.php/journal/article/view/447
ChicagoSaydullayev, Eldorjon, Rahmatullayev, Ilhom, Boyquziyev, Ilxom, and Umurzakov, Oybek. “the Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application: Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application.” Al-Farg'oniy avlodlari, (3), 101-108 (2024). https://al-fargoniy.uz/index.php/journal/article/view/447
HarvardSaydullayev, Eldorjon, Rahmatullayev, Ilhom, Boyquziyev, Ilxom, and Umurzakov, Oybek (2024) ‘the Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application: Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application’, Al-Farg'oniy avlodlari, (3), 101-108. https://al-fargoniy.uz/index.php/journal/article/view/447
BibTeX
@article{saydullayeveldorjon2024,
  title = {the Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application: Mathematical Foundations of Asymmetric Algorithms Based on Elliptic Curves and Problems of Their Application},
  author = {Saydullayev, Eldorjon and Rahmatullayev, Ilhom and Boyquziyev, Ilxom and Umurzakov, Oybek},
  journal = {Al-Farg'oniy avlodlari},
  year = {2024},
  number = {3},
  pages = {101-108},
  url = {https://al-fargoniy.uz/index.php/journal/article/view/447}
}

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