Pairing based elliptic curve encryption scheme with hybrid problems in Smart House

The security of the elliptic curve cryptosystem over the ring Z_n is only based on the problem of factoring the large number, which has no remarkable advantages by contrast to the cryptographies of RSA and Rabin. In this paper, using the self-bilinear pairing, a new elliptic curve encryption scheme over the ring Z_n is proposed. By the advantages of this application, the proposal is secure under the difficulty of factoring the large number and solving the elliptic curve discrete logarithm problem. Due to efficient decryption and convincing security, our scheme can be applied to protecting the confidentiality and integrity of information transmitted in Smart House.