Title
Tight Leakage-Resilient CCA-Security from Quasi-Adaptive Hash Proof System
Abstract
We propose the concept of quasi-adaptive hash proof system (QAHPS), where the projection key is allowed to depend on the specific language for which hash values are computed. We formalize leakage-resilient(LR)-ardency for QAHPS by defining two statistical properties, including LR-< L-0, L-1 >-universal and LR-< L-0, L-1 >-key-switching. We provide a generic approach to tightly leakage-resilient CCA (LR-CCA) secure public-key encryption (PKE) from LR-ardent QAHPS. Our approach is reminiscent of the seminal work of Cramer and Shoup (Eurocrypt'02), and employ three QAHPS schemes, one for generating a uniform string to hide the plaintext, and the other two for proving the well-formedness of the ciphertext. The LR-ardency of QAHPS makes possible the tight LR-CCA security. We give instantiations based on the standard k-Linear (k-LIN) assumptions over asymmetric and symmetric pairing groups, respectively, and obtain fully compact PKE with tight LR-CCA security. The security loss is O(log Q(e)) where Q(e) denotes the number of encryption queries. Specifically, our tightly LR-CCA secure PKE instantiation from SXDH has only 4 group elements in the public key and 7 group elements in the ciphertext, thus is the most efficient one.
Year
DOI
Venue
2019
10.1007/978-3-030-26951-7_15
ADVANCES IN CRYPTOLOGY - CRYPTO 2019, PT II
DocType
Volume
ISSN
Conference
11693
0302-9743
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Shuai Han1710.28
Shengli Liu248445.70
Lin Lyu332.77
Dawu Gu4644103.50