Abstract. In this paper we propose an identity(ID)-based signature scheme using gap Diffie-Hellman (GDH) groups. Our scheme is proved secure against existential forgery on adaptively chosen message and ID attack under the random oracle model. Using GDH groups obtained from bilinear pairings, as a special case of our scheme, we obtain an ID-based signature scheme that shares the same system parameters and the same private/public key pairs with the ID-based encryption scheme (BF-IBE) by Boneh and Franklin [BF01], and is as efficient as the BF-IBE. Combining our signature scheme with the BF-IBE yields a complete solution of an ID-based public key system. It can be an alternative for certificate-based public key infrastructures, especially when efficient key management and moderate security are required.
Cha and Cheon REF proposed an identity-based signature scheme using gap Diffie-Hellman (GDH) groups, and proved their scheme is secure against existential forgery on adaptively chosen message and ID attack under the random oracle model.
An Identity-Based Signature from Gap Diffie-Hellman Groups
Public Key Cryptography - PKC 2003, LNCS 2139
Computer Science