ElGamal cryptosystem with authentication based on ECDLP
Zhou Wei · Jisuanji gongcheng yu sheji · 2010
Whereas in a public key cryptosystems the sender encrypts a message with the public key of the receiver and the receiver decrypts the ciphertext with his own private key,both sides can not identify the other side.By studying the ElGamal cryptosystem based on elliptic curve,an ElGamal cryptosystem with authentication based on discrete logarithm problem on a secure elliptic curve is given, which can realize bidirectional authentication and effectively prevent attackers from imitation of a sender to fabricate messages.At the same time,the information which can trace the message is added to the communication course in the arithmetic,so the receiver can validate the authenticity of the message effectively.Via the diplex protecting to the message,the system realizes secure communications on the public channel.