On the impossibility of constructing non-interactive statistically-secret protocols from any trapdoor one-way function
- We show that non-interactive statistically-secret bit commitment cannot be constructed from arbitrary black-box one-to-one trapdoor functions and thus from general public-key cryptosystems. Reducing the problems of non-interactive crypto-computing, rerandomizable encryption, and non-interactive statistically-sender-private oblivious transfer and low-communication private information retrieval to such commitment schemes, it follows that these primitives are neither constructible from one-to-one trapdoor functions and public-key encryption in general. Furthermore, our separation sheds some light on statistical zeroknowledge proofs. There is an oracle relative to which one-to-one trapdoor functions and one-way permutations exist, while the class of promise problems with statistical zero-knowledge proofs collapses in P. This indicates that nontrivial problems with statistical zero-knowledge proofs require more than (trapdoor) one-wayness.
Author: | Marc FischlinGND |
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URN: | urn:nbn:de:hebis:30-12568 |
DOI: | https://doi.org/10.1007/3-540-45760-7_7 |
ISBN: | 978-3-540-43224-1 |
ISBN: | 3-540-43224-8 |
ISBN: | 978-3-540-45760-2 |
Editor: | Bart Preneel |
Document Type: | Preprint |
Language: | English |
Year of Completion: | 2002 |
Year of first Publication: | 2002 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2005/07/20 |
Tag: | Commitment Scheme; Oblivious Transfer; Oracle Query; Private Information Retrieval; Random Oracle |
GND Keyword: | Kryptologie; Kongress; San Jose; Online-Publikation |
Page Number: | 27 |
First Page: | 1 |
Last Page: | 27 |
Note: | Erschienen in: Bart Preneel (Hrsg.): Topics in cryptology : the Cryptographers' Track at the RSA Conference 2002 ; proceedings, Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London ; Milan ; Paris ; Tokyo : Springer, 2002, Lecture notes in computer science ; Vol. 2271, S. 79-95, ISBN: 978-3-540-43224-1, ISBN: 3-540-43224-8, ISBN: 978-3-540-45760-2, doi:10.1007/3-540-45760-7_7 |
Source: | RSA Security 2002 Cryptographer's Track. - Lecture notes in computer science, vol. 2271, pp. 79-95, Springer-Verl., 2002 - http://link.springer.de/link/service/series/0558/tocs/t2271.htm , http://www.mi.informatik.uni-frankfurt.de/research/papers/fischlin |
HeBIS-PPN: | 226524515 |
Institutes: | Informatik und Mathematik / Mathematik |
Informatik und Mathematik / Informatik | |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Licence (German): | Deutsches Urheberrecht |