Pairing-Free and Secure Certificateless Signcryption Scheme

Certificateless signcryption (CLSC) can simultaneously fulfill certificateless encryption and certificateless signature; however, most CLSC schemes need costly computational overhead due to the usage of pairing operations. How to improve its computational efficiency is a very significant research problem. In this paper, we propose a pairing-free and secure CLSC scheme. In the random oracle model, the proposed scheme is indistinguishability against adaptive chosen-ciphertext attacks secure in confidentiality and unforgeability against adaptive chosen-message attacks secure in unforgeability. In the new scheme, only a designated receiver can recover the message, and a third party can verify the validity of a signcrypted text without knowing the receiver's secret value. In addition, this cryptographic algorithm is very appropriate to applications in online auction, email system and private contractual signature.