A New Key Agreement Method for Symmetric Encryption Using Elliptic Curves

Abstract

The Elliptic Curve Diffie-Hellman (ECDH) is the basic protocol used for key agreement on Elliptic Curves (EC) and it is analogue to the standard Diffie-Hellman key exchange. The security of ECDH relies on the difficulty of the Elliptic Curve Discrete Logarithm Problem (ECDLP), however this protocol is vulnerable to man in the middle attack. In this paper, we first analyze the Ahirwal and Ahke encryption scheme which is based on ECDH key exchange and then we propose a new key agreement method to secure it from man in the middle attack.