Title
Tightly Secure Lossy Trapdoor Functions: Constructions and Applications.
Abstract
Lossy trapdoor functions (LTFs), introduced by Peiker and Waters in STOC'08, are functions that may be working in another injective mode or a lossy mode. Given such a function key, it is impossible to distinguish an injective key from a lossy key for any (probabilistic) polynomial-time adversary. This paper studies lossy trapdoor functions with tight security. First, we give a formal definition for tightly secure LTFs. Loosely speaking, a collection of LTFs is tightly secure if the advantage to distinguish a tuple of injective keys from a tuple of lossy keys does not degrade in the number of function keys. Then, we show that tightly secure LTFs can be used to construct public-key encryption schemes with tight CPA security in a multiuser, multichallenge setting, and with tight CCA security in a multiuser, one-challenge setting. Finally, we present a construction of tightly secure LTFs from the decisional Diffie-Hellman assumption.
Year
DOI
Venue
2019
10.1155/2019/3636759
SECURITY AND COMMUNICATION NETWORKS
Field
DocType
Volume
Lossy compression,Injective function,Tuple,Computer science,Computer network,Formal description,Encryption,Probabilistic logic,Adversary
Journal
2019
ISSN
Citations 
PageRank 
1939-0114
0
0.34
References 
Authors
10
1
Name
Order
Citations
PageRank
Baodong Qin119019.40