Relations Among Notions of Security for Identity Based Encryption Schemes

This paper shows that the standard security notion for identity based encryption schemes (IBE), that is IND-ID-CCA2, captures the essence of security for all IBE schemes. To achieve this intention, we first describe formal definitions of the notions of security for IBE , and then present the relations among OW, IND, SS and NM in IBE , along with rigorous proofs. With the aim of comprehensiveness, notions of security for IBE in the context of encryption of multiple messages and/or to multiple receivers are finally presented. All of these results are proposed with the consideration of the particular attack in IBE , namely the adaptive chosen identity attack.