Paper 2006/348
Non-Trivial Black-Box Combiners for Collision-Resistant Hash-Functions don't Exist
Krzysztof Pietrzak
Abstract
A $(k,\ell)$-robust combiner for collision-resistant hash-functions is a construction which from $\ell$ hash-functions constructs a hash-function which is collision-resistant if at least $k$ of the components are collision-resistant. One trivially gets a $(k,\ell)$-robust combiner by concatenating the output of any $\ell-k+1$ of the components, unfortunately this is not very practical as the length of the output of the combiner is quite large. We show that this is unavoidable as no black-box $(k,\ell)$-robust combiner whose output is significantly shorter than what can be achieved by concatenation exists. This answers a question of Boneh and Boyen (Crypto'06).
Metadata
- Available format(s)
- PDF PS
- Category
- Foundations
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- hash functionscombiners
- Contact author(s)
- pietrzak @ di ens fr
- History
- 2006-10-20: received
- Short URL
- https://ia.cr/2006/348
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2006/348, author = {Krzysztof Pietrzak}, title = {Non-Trivial Black-Box Combiners for Collision-Resistant Hash-Functions don't Exist}, howpublished = {Cryptology {ePrint} Archive, Paper 2006/348}, year = {2006}, url = {https://eprint.iacr.org/2006/348} }