关键词: 分级的基于身份的签名，双线性对，DH I问题

Abstract: By using bilinear pairings technique, this paper presented a hierarchical identity based signature scheme in the standard model according to hierarchical identity based encryption scheme proposed by 13onch et al. hhe size of signature in the scheme is a constant and regardless of hierarchy depth of the signer. In the last, we proved the scheme is existen- tial unforgcable against selective identity, selective chosen message attack in terms of the hardness of DHI problem.

Key words: Hierarchical identity based signature,I3ilinear pairing,Diffie-hellman inversion problem