Title
A Multi-trapdoor Commitment Scheme from the RSA Assumption
Abstract
Gennaro introduced the notion of multi-trapdoor commitments which is a stronger form of trapdoor commitment schemes at CRYPTO 2004. Multi-trapdoor commitments have several cryptographic applications. For example, Gennaro proposed a conversion that makes a non-interactive multi-trapdoor commitment scheme into a non- interactive and reusable non-malleable commitment scheme and a compiler that transforms any proof of knowledge into concurrently non-malleable one. Gennaro gave constructions of multi-trapdoor commitments, but they rely on stronger assumptions, such as the strong RSA assumption, the q-strong Diffie-Hellman assumption. In this paper, we propose a non-interactive multi-trapdoor commitment scheme from the standard RSA assumption. Thus, as a corollary of our result, we obtain a non-interactive and reusable non-malleable commitment scheme from the standard RSA assumption. Our scheme is based on the Hohenberger-Waters signature scheme proposed at CRYPTO 2009. Several non-interactive and reusable non-malleable commitment schemes (in the common reference string model) have been proposed, but all of them rely on stronger assumptions (e.g., strong RSA).
Year
DOI
Venue
2012
10.1007/978-3-642-14081-5_12
IEICE Transactions
Keywords
Field
DocType
standard rsa assumption,q-strong diffie-hellman assumption,reusable non-malleable commitment scheme,thehohenberger-waters signature scheme,stronger assumption,strong rsa,multi-trapdoor commitment,non-interactive multi-trapdoor commitment scheme,strong rsa assumption,trapdoor commitment scheme,diffie hellman,proof of knowledge,reusability,commitment scheme
Cryptography,Computer science,Proof of knowledge,Commitment scheme,Compiler,Theoretical computer science,Strong RSA assumption,Corollary,Reusability
Journal
Volume
Issue
ISSN
95-A
1
0916-8508
ISBN
Citations 
PageRank 
3-642-14080-7
3
0.39
References 
Authors
28
3
Name
Order
Citations
PageRank
Ryo Nishimaki113114.91
Eiichiro Fujisaki21526114.30
Keisuke Tanaka327819.04