Title
All-But-Many Lossy Trapdoor Functions under Decisional RSA Subgroup Assumption and Application
Abstract
Lossy trapdoor functions (LTDFs) were introduced by Peikert and Waters (STOC 2008) and have a number of applications in cryptography. All-but-many lossy trapdoor functions (ABM-LTDFs) are generalizations of LTDFs studied by Hofheinz (Eurocrypt 2012). Specially, using ABM-LTDFs to construct public key encryption (PKE) scheme with selective opening security has been proven feasible. Existing ABM-LTDFs were built on pairings, lattices and decisional composite residuosity (DCR) assumption. However, pairing-based ABM-LTDFs and DCR-based ABM-LTDFs rely on nonstandard assumptions. In this paper, we construct an ABM-LTDF under the decisional RSA subgroup (DRSA) assumption, and we employ it to construct PKE scheme with selective opening security. We also propose a construction of DCR-based ABM-LTDF relying on standard assumption in Appendix.
Year
DOI
Venue
2019
10.1093/comjnl/bxz008
COMPUTER JOURNAL
Keywords
Field
DocType
Lossy trapdoor function,semi-smooth RSA subgroup modulus,decisional RSA subgroup assumption,decisional composite residuosity assumption
Lossy compression,Computer science,Theoretical computer science
Journal
Volume
Issue
ISSN
62
8
0010-4620
Citations 
PageRank 
References 
0
0.34
1
Authors
5
Name
Order
Citations
PageRank
Nanyuan Cao100.34
zhenfu cao2108.69
Zhen Liu3321.61
Xiaolei Dong454.56
Xiaopeng Zhao500.34