Paper 2012/045
Signature Schemes Secure against Hard-to-Invert Leakage
Sebastian Faust and Carmit Hazay and Jesper Buus Nielsen and Peter Sebastian Nordholt and Angela Zottarel
Abstract
In the auxiliary input model an adversary is allowed to see a \emph{computationally hard-to-invert function} of the secret key. The auxiliary input model weakens the bounded leakage assumption commonly made in leakage resilient cryptography as the hard-to-invert function may information-theoretically reveal the entire secret key. In this work, we propose the \emph{first} constructions of digital signature schemes that are secure in the auxiliary input model. Our main contribution is a digital signature scheme that is secure against \emph{chosen message attacks} when given an \emph{exponentially hard-to-invert function} of the secret key. As a second contribution, we construct a signature scheme that achieves security for \emph{random messages} assuming that the adversary is given a \emph{polynomial-time} hard to invert function. Here, polynomial-hardness is required even when given the entire public-key -- so called \emph{weak} auxiliary input security. We show that such signature schemes readily give us auxiliary input secure identification schemes.
Metadata
- Available format(s)
- PDF PS
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- leakageauxiliary inputsignature
- Contact author(s)
- psn @ cs au dk
- History
- 2015-01-28: last of 4 revisions
- 2012-02-01: received
- See all versions
- Short URL
- https://ia.cr/2012/045
- License
-
CC BY