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Methods for using elliptic curves in cryptography

Vadim ObukhovFergana branch of the Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Ferghana, UzbekistanZulayho QadamovaFergana branch of the Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Ferghana, UzbekistanMuzaffar SobirovFergana branch of the Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Ferghana, UzbekistanOtabek ErgashevFergana branch of the Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Ferghana, UzbekistanRavshanbek NabijonovFergana branch of the Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Ferghana, Uzbekistan
E3S Web of Conferencesjournal2024en
ABI

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Elliptic Curve Cryptography (ECC), a significant modern cryptography, is more secure and robust than most others due to its construction using an elliptic curve and the application of mathematical operations for encryption and key generation. Furthermore, ECC based on elliptic curves can continually enhance speed and intensity through improvements in accelerators, scalar multiplication, and order processing speed.

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