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Conversion of the Diffie-Hellman Key Exchange Algorithm Based on Elliptic Curve Equations to Elliptic Curve Equations with Private Parameters

Oydin AhmedovaZarif KhudoykulovTUIT named after Muhammad al-Khwarizmi, Tashkent, UzbekistanUlugbek MardiyevTUIT named after Muhammad al-Khwarizmi, Tashkent, UzbekistanAkbar Ortiqboyev
ABI

Abstract

The advantage of cryptographic systems based on elliptical curves over traditional systems is that they provide equivalent protection even when the key length used is small. This reduces the load time of the processors of the receiving and transmitting devices. But the development of computer technology leads to an increase in the stability of the cryptosystem, that is, the length of the keys. This article presents a method for converting elliptic curve equations to hidden parameter elliptic curve equations to increase stability without increasing key length.

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