Welcome to the resource topic for 2014/311
Title:
Exponent-inversion Signatures and IBE under Static Assumptions
Authors: Tsz Hon Yuen, Sherman S. M. Chow, Cong Zhang, Siu Ming Yiu
Abstract:Boneh-Boyen signatures are widely used in many advanced cryptosystems. It has a structure of ``inversion in the exponent", and its unforgeability against q chosen-messages attack is proven under the non-static q-Strong Diffie-Hellman assumption. It has been an open problem whether the exponent-inversion signature, and its various applications, can be proved based on a weaker static assumption. We propose a dual-form Boneh-Boyen signature and demonstrate how to prove the security for the exponent-inversion signature structure in the standard model under static assumptions. We apply our proof technique to a number of related cryptosystems employing similar structure, including anonymous credentials, identity-based encryption (IBE) and accountable authority IBE. Our results give the first exponent-inversion IBE in the standard model under static assumption. Our anonymous credentials and accountable authority IBE are also better than existing schemes in terms of both security and efficiency.
ePrint: https://eprint.iacr.org/2014/311
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