Paper 2014/426
Towards Optimally Efficient Secret-Key Authentication from PRG
Ivan Damgård and Sunoo Park
Abstract
We propose a new approach to the construction of secret-key authentication protocols making black-box use of any pseudorandom generator (PRG). Our authentication protocols require only two messages, have perfect completeness, and achieve concurrent man-in-the-middle security. Finally, when based on a sufficiently efficient PRG, our protocol has (amortised) complexity $O(n)$ bit operations where $n$ is the security parameter. To the best of our knowledge, this construction is the first with linear complexity. We achieve this at the cost of having the prover (but not the verifier) keep a small amount of state. A variant of our construction, based on a stronger security notion for the PRG, is secure even if the adversary is able to reset the prover an unbounded number of times. A practical analysis of our protocol shows our prover computation time compares favorably against a simple AES-based protocol.
Metadata
- Available format(s)
- Publication info
- Preprint. MINOR revision.
- Keywords
- Authenticationpseudorandom generatorslinear time
- Contact author(s)
- sunoo @ csail mit edu
- History
- 2016-02-10: last of 5 revisions
- 2014-06-06: received
- See all versions
- Short URL
- https://ia.cr/2014/426
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2014/426, author = {Ivan Damgård and Sunoo Park}, title = {Towards Optimally Efficient Secret-Key Authentication from {PRG}}, howpublished = {Cryptology {ePrint} Archive, Paper 2014/426}, year = {2014}, url = {https://eprint.iacr.org/2014/426} }