Abstract
In this paper, we design the so called  ”Strong Diffie-Hellman-Exponential-Schnnor Key Exchange (called SDH-XS-KE)”over Elliptic curves. SDH-XS-KE is a key echange protocol proposed in 2014. The protocol SDH-XS-KE improves the”Strong Diffie-Hellman-DSA Key Exchange (called SDH-DSA-KE)” proposed by Jeong and al. in 2007. First SDH-XSKE is designed in finite groups such that Z=pZ where p is a prime number. So, in this paper, we present the elliptic curves version of the protocol SDH-XS-KE.
Highlights
The Diffie-Hellman (DH) key exchange protocol is the best known protocol in this field (Diffie & Hellman, 1976)
In this paper, we present the elliptic curves version of the protocol SDH-XS-KE
In 2007, Jeong and al. proposed in (Jeong, Kwon & Lee, 2007) the ”Strong Diffie-Hellman-DSA Key Exchange” where DSA signatures is used for mutual authentication but it is vulnerable to some attacks
Summary
The Diffie-Hellman (DH) key exchange protocol is the best known protocol in this field (Diffie & Hellman, 1976). The basic protocol is vulnerable to many attacks. This is why many proposals have been made to improve the security of the DH protocol (Nyberg, 1994 & Krawczyk, 2005). Most of the proposals have been attacked or suffered weaknesses
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