Title
Leakage-resilient lossy trapdoor functions and public-key encryption
Abstract
Lossy Trapdoor Functions (LTFs) was introduced by Peikert and Waters in 2008. The importance of the LTFs was justified by their numerous cryptographic applications, like the construction of injective one-way trapdoor functions, CCA-secure public-key encryption, etc. However, little research on application of LTFs to key-leakage resilient public-key encryption was done. In this article we introduce a new variant of LTFs featuring leakage-resilience, namely lrLTFs and give a realization of lrLTFs with leakage rate 1/Θ(κ) (where κ is the security parameter) under the Decisional Diffie-Hellman (DDH) assumption. We further improve the leakage rate to 1-o(1) over a composite-order group in which the Decisional Composite Residuosity (DCR) assumption holds. We also introduce a new notion of key-leakage attacks, which we call weak key-leakage attacks, for bridging the adaptive and non-adaptive key-leakage attacks in the setting of public-key cryptosystem. In this model, the leakage adversary only gets a part of public key before accessing to a leakage oracle. We show that lrLTFs imply public-key encryption schemes secure against chosen-ciphertext weak key-leakage attacks in a black-box sense.
Year
DOI
Venue
2013
10.1145/2484389.2484393
AsiaPKC@AsiaCCS
Keywords
Field
DocType
leakage-resilient lossy trapdoor function,non-adaptive key-leakage attack,key-leakage attack,weak key-leakage attack,leakage rate,cca-secure public-key encryption,public-key encryption scheme,leakage oracle,leakage adversary,public-key cryptosystem,chosen-ciphertext weak key-leakage attack,public key encryption
Computer science,Cryptography,Computer security,Attribute-based encryption,Encryption,Theoretical computer science,Cryptosystem,40-bit encryption,Probabilistic encryption,Security parameter,Public-key cryptography
Conference
Citations 
PageRank 
References 
6
0.42
25
Authors
4
Name
Order
Citations
PageRank
Baodong Qin119019.40
Shengli Liu248445.70
Kefei Chen31178107.83
Manuel Charlemagne4653.51