ELLIPTIK EGRI CHIZIQ ASOSIDA XAVFSIZ KALIT ALMASHINUVI

Muhamediyeva D.T; Raupova M

ELLIPTIK EGRI CHIZIQ ASOSIDA XAVFSIZ KALIT ALMASHINUVI

Authors

Muhamediyeva D.T ”Toshkent irrigatsiya va qishloq xoʻjaligini mexanizatsiyalash muhandislari instituti” Milliy tadqiqot universiteti
Raupova M Chirchiq davlat pedagogika universiteti

Keywords:

Kvant xavfsizligi, elliptik egri chiziq, kriptografiya, umumiy kalit almashinuvi, kvant hisoblash.

Abstract

This paper proposes a secure public key exchange algorithm combining classical
elliptic curve cryptography (ECC) and quantum algorithms. The algorithm is implemented using
Python and the Qiskit library. Public keys are generated by point multiplication on ECC, and
quantum superposition is performed using Qiskit. The proposed approach can be robust against
quantum attacks and can serve as a basis for future quantum-resistant cryptosystems.

References

Bernstein D.J., Lange T. Post-Quantum Cryptography // Nature. – 2017. – Vol. 549, No. 7671. – P. 188–194. DOI: 10.1038/nature23461.

Jao D., De Feo L. Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies // Post-Quantum Cryptography. – Springer, 2011. – P. 19–34.

Chen L. et al. Report on Post-Quantum Cryptography. – Gaithersburg, MD: National Institute of Standards and Technology (NIST), U.S. Department of Commerce, 2016.

ELLIPTIK EGRI CHIZIQ ASOSIDA XAVFSIZ KALIT ALMASHINUVI