Abstract: The configuration of ID-based Encryption is analyzed. A new ID-based Encryption is realized with the Elliptic curve over the residue class ring. The group operation on Elliptic Curve Cryptogsystem(ECC) over the ring has the property of RSA trapdoor function and the property of Elliptic Cune Discrete Logarithm Problem(ECDLP) trapdoor function. The two properties are used in the step of Key Extract and Encryption respectively. The new ID-based Encryption has the advantages of good performance and analytical convenience. A pseudo group operation is discussed, and the basic property of this operation is given. With the pseudo point operation, the embedment of the plain text can be easier and more secure.

Key words: elliptic curve cryptography, ID-based, residue class ring