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Parallel Repetition of Zero-Knowledge Proofs and the Possibility of Basing Cryptography on NP-Hardness
Prague, Czech Republic July 16-July 20
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CCC.2006.3321st Annual IEEE Conference on Compu ...
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Rafael Pass, "Parallel Repetition of Zero-Knowledge Proofs and the Possibility of Basing Cryptography on NP-Hardness," Computational Complexity, Annual IEEE Conference on, pp. 96-110, 21st Annual IEEE Conference on Computational Complexity (CCC'06), 2006.
 
 
BibTex
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@article{ 10.1109/CCC.2006.33,
author = {Rafael Pass},
title = {Parallel Repetition of Zero-Knowledge Proofs and the Possibility of Basing Cryptography on NP-Hardness},
journal ={Computational Complexity, Annual IEEE Conference on},
volume = {0},
year = {2006},
issn = {1093-0159},
pages = {96-110},
doi = {http://doi.ieeecomputersociety.org/10.1109/CCC.2006.33},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Computational Complexity, Annual IEEE Conference on
TI - Parallel Repetition of Zero-Knowledge Proofs and the Possibility of Basing Cryptography on NP-Hardness
SN - 1093-0159
SP96
EP110
A1 - Rafael Pass,
PY - 2006
KW - null
VL - 0
JA - Computational Complexity, Annual IEEE Conference on
ER -
 
Rafael Pass, CSAIL, MIT
Two long-standing open problems exist on the fringe of Complexity Theory and Cryptography: 1. Does there exist a reduction from an NP-Complete Problem to a one-way function? 2. Do parallelized versions of classical constant-round zero-knowledge proofs for NP conceal every "hard" bit of the witness to the statement proved? We show that, unless the Polynomial-Hierarchy collapses, black-box reductions cannot be used to provide positive answers to both questions.
Citation:
Rafael Pass, "Parallel Repetition of Zero-Knowledge Proofs and the Possibility of Basing Cryptography on NP-Hardness," ccc, pp.96-110, 21st Annual IEEE Conference on Computational Complexity (CCC'06), 2006
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