Title
The One-More-RSA-Inversion Problems and the Security of Chaum's Blind Signature Scheme.
Abstract
We introduce a new class of computational problems which we call the "one-more-RSA-inversion" problems. Our main result is that two problems in this class, which we call the chosen-target and known-target inversion problems, respectively, have polynomially equivalent computational complexity. We show how this leads to a proof of security for Chaum's RSA-based blind signature scheme in the random oracle model based on the assumed hardness of either of these problems. We define and prove analogous results for "one-more-discrete-logarithm" problems. Since the appearence of the preliminary version of this paper, the new problems we have introduced have found other uses as well.
Year
DOI
Venue
2001
10.1007/s00145-002-0120-1
Journal of Cryptology
Keywords
Field
DocType
inverse problem,blind signature,discrete logarithm problem,digital signature,digital cash,random oracle model,computational complexity
Electronic money,Computational problem,Inversion (meteorology),Algorithm,Random oracle,Digital signature,Theoretical computer science,Blind signature,Public-key cryptography,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
16.0
3.0
0933-2790
Citations 
PageRank 
References 
92
2.21
19
Authors
6
Name
Order
Citations
PageRank
Mihir Bellare1164371481.16
Chanathip Namprempre260028.88
David Pointcheval338120.62
Michael Semanko41425.10
dept d informatiquecnrs5922.21
ecole normale superieure636813.33