Direct constructions and proofs for CCA secure (LR)IBE with dual system encryption

Dear editor, In the past decade, the development of identitybased cryptography has been highly motivated. Owing to its superiority in the task of key distribution as well as its expressive ability, many related techniques have been made industrial standards. Boneh and Boyen [1] developed the first secure construction (BB1) in the standard model under a weakened adaptive notion called selective-ID security. Since then, ongoing research has contributed to enhancing the performance of IBE schemes in the standard model.