Innovation in the modern education system

 
INNOVATION IN THE MODERN EDUCATION SYSTEM
540
kalitlarga egadir, shuningdek, kalitlar orasidagi o‟zaro almashtirishlar osonlik 
bilan amalga oshirilishi mumkin. 
Elliptik egri chiziqqa asoslangan kriptografiya hozirgi kunda ko‟p joyda 
ishlatilmoqda, masalan, banklar, telekommunikatsiya kompaniyalari, internet 
xizmat ko‟rsatuvchilari va hokazo. Shuningdek, EECH asoslangan 
Kriptotizimlar, mobil qurilmalarda ishlatiladigan kriptotizimlar uchun juda 
qulaydir. 
Barcha kriptotizimlar katta ehtiyojlar talab qiladi va ularga doimiy 
ravishda yangilash kerak. Shuning uchun, ECC ham shuningdek, boshqa 
kriptotizimlar ham, o‟zlarining afzalliklarini va kuchli yonlarini o‟rganish, ularga 
qarshi potentsial xavf va tahlillarga ko‟ra to‟g‟ri kelgan holatda foydalanish 
kerak. 
FOYDALANILGAN ADABIYOTLAR: 
10.
KRIPTOGRAFIYANING MATEMATIK ASOSLARI О‟quv qо‟llanma 
D.Y.Akbarov, P.F.Xasanov, X.P.Xasanov, O.P.Axmedova, I.U.Xolimtayeva
Toshkent 2018. 
11.
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.] 
12.
Silverman, J.: Advanced Topics in the Arithmetic of Elliptic 
Curves, Graduate Texts in Mathematics, 155, Springer-Verlag, 1994. 
13.
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.] 
14.
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.] 
15.
 
https://lib.fbtuit.uz/assets/files/4.-
AkbarovD.YXasanovP.FXasanovX.PAxmedovaO.PXolimtayevaI.U.Kriptografiy
aningmatematikasoslari.pdf
 
16.
 
https://www.ssldragon.com/blog/what-is-
openssl/#:~:text=OpenSSL%20is%20an%20all%2Daround,generation%2C%20
and%20SSL%20certificate%20installation
. 
17.
Internet sayti 
https://mathworld.wolfram.com/EllipticCurve.html
 
18.
Internet sayti 

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INNOVATION IN THE MODERN EDUCATION SYSTEM
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https://people.math.rochester.edu/faculty/doug/otherpapers/Husemoll
er.pdf
 
19.
Internet sayti: 
https://www.math.brown.edu/johsilve/Presentations/WyomingEllipticCu
rve.pdf
 
20.
 
https://www.keyfactor.com/blog/elliptic-curve-cryptography-
what-is-it-how-does-it-work/
 
21.
 
https://xenovation.com/blog/security/pki/creating-elliptic-curve-
ecdh-key-with-openssl