OPENSSL KUTUBXONASIDA ELLIPTIK EGRI CHIZIQQA ASOSLANGAN DIFFI-XELMAN ALGORITMI

Authors

  • Yusupova S.M. AmonovA.H. Abdullayev I.K.,Avazbekov M.A Toshkent axborot texnologiyalari unversiteti abdujabbor.madina.1989@gmail.com1

Keywords:

elliptik egri chiziq, Diffi-Xelman algortimi, OpenSSL kutubxonasi, maxfiy kalit, ochiq kalit, kalit generatsiyalash.

Abstract

Elliptik egri chiziqqa asoslangan Diffi-Xelman (ECDH Elliptic Curve Diffie-Hellman) algoritmi kalit almashinuv protokolini belgilaydi. Ushbu protokol to’g’ridan-to’g’ri bir-biriga yubormasdan shifrlash uchun umumiy maxfiy kalitni yaratish uchun ishlatiladi.

References

KRIPTOGRAFIYANING MATEMATIK ASOSLARI О’quv qо’llanma D.Y.Akbarov, P.F.Xasanov, X.P.Xasanov, O.P.Axmedova, I.U.Xolimtayeva Toshkent 2018.

Silverman, Joseph H. The arithmetic of elliptic curves. Graduate Texts in Mathematics, 106. Springer-Verlag, New York, 1986. [The number theory of elliptic curves at a level suitable for advanced graduate students.]

Silverman, J.: Advanced Topics in the Arithmetic of Elliptic Curves, Graduate Texts in Mathematics, 155, Springer-Verlag, 1994.

Miller, Victor. Use of elliptic curves in cryptography. Advances in cryptology CRYPTO ‘85 (Santa Barbara, CA, 1985), 417–426, Lecture Notes in Comput. Sci., 218, Springer, Berlin, 1986. [One of the original articles proposing the use of elliptic curves for crypto. The other is by Neal Koblitz.]

Koblitz, Neal. Elliptic curve cryptosystems. Mathematics of Computation 48 (1987), 203-209. [One of the original articles that proposed the use of elliptic curves for cryptography. The other is by Victor Miller.]

https://lib.fbtuit.uz/assets/files/4.-AkbarovD.YXasanovP.FXasanovX.PAxmedovaO.PXolimtayevaI.U.Kriptografiyaningmatematikasoslari.pdf

https://www.ssldragon.com/blog/what-is-openssl/#:~:text=OpenSSL%20is%20an%20all%2Daround,generation%2C%20and%20SSL%20certificate%20installation.

Internet sayti:

https://www.math.brown.edu/johsilve/Presentations/WyomingEllipticCurve.pdf

https://www.keyfactor.com/blog/elliptic-curve-cryptography-what-is-it-how-does-it-work/

https://xenovation.com/blog/security/pki/creating-elliptic-curve-ecdh-key-with-openssl

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Published

2023-06-01