Abstract: Presently, most of the HIRE schemes are based on the prime order bilinear groups. hhe author constructed a HIRE scheme based on composite order bilinear groups. The component parameters of secret key tuple are those elemenu in an group of prime order while the ones of ciphertext tuple arc the products of some elements in two groups,which are of different prime order, and elements in one of these groups, which act as blind factors. hhe blinded cipher-text enhances the security of the new HIRE scheme. The blind factors of the ciphertext have no effects on the decryption. hhe new HIBE scheme is selectivcID secure in the standard model.

Key words: HIRE, IBE, Composite order bilinear groups, CCA