Proxy Re-encryption from CLE to CBE

In 1998, Blaze, Bleumer, and Strauss propose a kind of cryptographic primitive called proxy re-encryption. In proxy re-encryption, a proxy can transform a ciphertext computed under Alice´s public key into one that can be opene under Bob´s decryption key. In 2007, mainly motivated b making different types of ciphertext circulate smoothly in the network, Matsuo proposed the concept of four types of proxy re-encryption schemes: CBE (Certificate Based Public Key Encryption) to IBE (Identity Based Encryption), IBE to IBE, IBE to CBE, CBE to CBE. In this paper, we extend Matsuo´s research on proxy re-encryption to the certificate less public key encryption setting. We propose the first proxy re-encryption scheme from certificate less public key encryption (CLE) to certificate based public key encryption (CBE) and evaluate its security.