Abstract
Since proposed, ELGamal cryptosystem occupies very important position in network security and it has wide application. Compared with RSA algorithm, elliptic curve encryption algorithm has significant advantages, and it is suitable for application in the environment with limited resources. In this paper, the principle of ELGamal cryptosystem based on elliptic curve is discussed and analyzed first, and then a new improved scheme is proposed. The two schemes are compared in security and calculation performance. Despite a little more calculation, the new scheme can improve the safety and expand the application field of ELGamal based on elliptic curve cryptosystem. The new scheme can be applied to the security of Internet of things, resisting captured nodes replay attacks
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