Certificate-based smooth projective hashing and its applications

Authors

Sujuan Li, Nanjing Normal University
Yi Mu, University of WollongongFollow
Mingwu Zhang, Hubei University of TechnologyFollow

RIS ID

119031

Publication Details

Li, S., Mu, Y. & Zhang, M. (2018). Certificate-based smooth projective hashing and its applications. International Journal of Network Security, 20 (2), 266-277.

Abstract

Smooth projective hashing was firstly introduced by Cramer and Shoup (EuroCrypt'02) as a tool to construct efficient chosen-ciphertext-secure public key encryption schemes. Since then, they have found many other applications, such as password-based authenticated key exchange, oblivious transfer, zero-knowledge arguments et al. Certificate-based encryption (CBE) not only eliminates third-party queries and heavy certificate management problem in traditional public-key encryption, but also solves key escrow problem for identity-based encryption. We introduce the new concept of certificate-based smooth projective hashing (CB-SPH). Under the security model for the leakage-resilient certificate-based encryption (LR-CBE), we show how to construct a general leakage-resilient certificate-based encryption scheme using the certificate-based smooth projective hashing. Based on these theoretical constructions, we present two concrete CB-SPH instantiations under the DBDH assumption and the DLWE assumption respectively. Based on these CB-SPH instantiations, we can construct leakage resilient CBE schemes.