An Efficient Signcryption Scheme based on The Elliptic Curve Discrete Logarithm Problem

Elliptic Curve Cryptosystems (ECC) have recently received significant attention by researchers due to their performance. Here, an efficient signcryption scheme based on elliptic curve will be proposed, which can effectively combine the functionalities of digital signature and encryption. Since the security of the proposed method is based on the difficulty of solving discrete logarithm over an elliptic curve. The purposes of this paper are to demonstrate how to specify signcryption scheme on elliptic curves over finite field, and to examine the efficiency of such scheme. The results analysis are explained.