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A Note on the Round-Complexity of Concurrent Zero-Knowledge [chapter]

Alon Rosen
2000 Lecture Notes in Computer Science  
We present a lower bound on the number of rounds required by Concurrent Zero-Knowledge proofs for languages in N P.  ...  of its main parameter (which yields a 9-round protocol), the protocol is not likely to be Concurrent Zero-Knowledge. 1 The lower bound of [18] (as well as our own work) applies only in a cleaner model  ...  I would also like to thank Yoav Rodeh for significant discussions, and Yehuda Lindell (as well as the anonymous referees) for commenting on the earlier version of this paper.  ... 
doi:10.1007/3-540-44598-6_28 fatcat:ogsxknyttvezhhbbeeszckyfse

Responsive Round Complexity and Concurrent Zero-Knowledge [chapter]

Tzafrir Cohen, Joe Kilian, Erez Petrank
2001 Lecture Notes in Computer Science  
We demonstrate the significance of responsive round complexity by presenting a new protocol for concurrent zero-knowledge.  ...  While the round complexity of the new protocol is similar to what is known from previous works, its responsive round complexity is a significant improvement: all known concurrent zero-knowledge protocols  ...  Round Complexity The number of rounds in a run of a protocol can be a major time-consuming component. Therefore, round complexity is one of the important complexity measures of protocols.  ... 
doi:10.1007/3-540-45682-1_25 fatcat:xrljgk4zr5buzbpjf6cxlbq63a

Client-Server Concurrent Zero Knowledge with Constant Rounds and Guaranteed Complexity [chapter]

Ran Canetti, Abhishek Jain, Omer Paneth
2014 Lecture Notes in Computer Science  
The traditional setting for concurrent zero knowledge considers a server that proves a statement in zero-knowledge to multiple clients in multiple concurrent sessions, where the server's actions in a session  ...  Specifically, they show a protocol that has only slightly super-constant number of rounds; however the communication complexity in each session of their protocol depends on the number of other sessions  ...  For example, stand-alone zero-knowledge protocols can be implemented in a constant number of rounds based on any one way function, while constant-round concurrent zero-knowledge protocols are not known  ... 
doi:10.1007/978-3-662-44381-1_19 fatcat:7ibgre5pnfbf3ilr5ov2qxefam

Bounded-concurrent secure multi-party computation with a dishonest majority

Rafael Pass
2004 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing - STOC '04  
The core of our protocol is a novel construction of (concurrently) simulation-sound zero-knowledge protocols, which might be of independent interest.  ...  Even though our main focus is on feasibility of concurrent multi-party computation we actually obtain a protocol using only a constant number of communication rounds.  ...  Although our main focus is on feasibility of multi-party computation with a dishonest majority that composes concurrently, we actually achieve the best one could hope for in terms of round complexity.  ... 
doi:10.1145/1007352.1007393 dblp:conf/stoc/Pass04 fatcat:zq2zrxbhnrfa7j5yrlg422cufa

Resettable Zero-Knowledge in the Weak Public-Key Model [chapter]

Yunlei Zhao, Xiaotie Deng, C. H. Lee, Hong Zhu
2003 Lecture Notes in Computer Science  
In this WPK model a 3-round (optimal) black-box resettable zero-knowledge argument with concurrent soundness for N P is presented assuming the security of RSA with large exponents against subexponential-time  ...  Our result improves Micali and Reyzin's result of resettable zero-knowledge argument with concurrent soundness for N P in the UPK model.  ...  This research is supported by a research grant of City University of Hong Kong (No. 7001232) and a research grant of Natural Science Funds of China (No. 60003007).  ... 
doi:10.1007/3-540-39200-9_8 fatcat:copbmriufjdixedalruvg23f74

Resettably-Sound Resettable Zero Knowledge in Constant Rounds [chapter]

Wutichai Chongchitmate, Rafail Ostrovsky, Ivan Visconti
2017 Lecture Notes in Computer Science  
., essentially by playing a modification of the construction of Chung et al. against the construction of Chung et al.) we obtain the first constant-round resettably-sound concurrent zero-knowledge argument  ...  In this work we show a constant-round resettably-sound resettable zero-knowledge argument system, therefore improving the round complexity from polynomial to constant.  ...  The definition of concurrent zero knowledge can be seen as a relaxation of the one of resettable zero knowledge.  ... 
doi:10.1007/978-3-319-70503-3_4 fatcat:d5egbjwknbel3omqxm3miypcie

Page 3141 of Mathematical Reviews Vol. , Issue 2003d [page]

2003 Mathematical Reviews  
Our techniques transform a non-concurrent zero-knowledge protocol into a concurrent zero- knowledge one.  ...  “In this paper we present the first constructions of proof systems that are concurrent zero-knowledge without relying on unproven complexity assumptions.  ... 

Constant-Round Resettable Zero Knowledge with Concurrent Soundness in the Bare Public-Key Model [chapter]

Giovanni Di Crescenzo, Giuseppe Persiano, Ivan Visconti
2004 Lecture Notes in Computer Science  
[STOC 2000], constant-round black-box concurrent and resettable zero knowledge is possible as opposed to the standard model for zero knowledge.  ...  Our result solves the main open problem on resettable zero knowledge in the BPK model and improves the previous works of Micali and Reyzin [EuroCrypt 2001] and Zhao et al.  ...  Acknowledgments We would like to thank the anonymous referee for his/her very useful remarks on our submission.  ... 
doi:10.1007/978-3-540-28628-8_15 fatcat:ezzdxalomrcybcesm2dm75ehaq

Improved Setup Assumptions for 3-Round Resettable Zero Knowledge [chapter]

Giovanni Di Crescenzo, Giuseppe Persiano, Ivan Visconti
2004 Lecture Notes in Computer Science  
In the cPK model, we give a three-round concurrently-sound resettable zero-knowledge argument of membership for NP.  ...  As pointed out by Micali and Reyzin [Crypto 2001], the notion of soundness in this model is more subtle and complex than in the classical model.  ...  Recently, the existence of a constant-round concurrently-sound resettable zero-knowledge argument in the BPK model has been proved by [15] where a 4-round concurrently-sound resettable zero-knowledge  ... 
doi:10.1007/978-3-540-30539-2_37 fatcat:jwtt2gddojdw3jycn62gozlp5i

Simultaneous Resettability from One-Way Functions

Kai-Min Chung, Rafail Ostrovsky, Rafael Pass, Ivan Visconti
2013 2013 IEEE 54th Annual Symposium on Foundations of Computer Science  
context of zero-knowledge, both the soundness and the zero-knowledge conditions remain robust to resetting attacks.  ...  (polynomial-round) simultaneously resettable zero-knowledge argument system.  ...  Pass is supported in part by a Alfred P.  ... 
doi:10.1109/focs.2013.15 dblp:conf/focs/ChungOPV13 fatcat:47hibd5hzncntacjrxkrgz2wly

The Knowledge Tightness of Parallel Zero-Knowledge [chapter]

Kai-Min Chung, Rafael Pass, Wei-Lung Dustin Tseng
2012 Lecture Notes in Computer Science  
As a demonstration of our techniques, we give a self-contained proof of the o(log n/ log log n) lower bound for the round complexity of black-box concurrent zero-knowledge protocols, first shown by Canetti  ...  As a function of the number of parallel sessions, k, and the round complexity of the protocol, m, the bound is roughly k 1/m .  ...  Acknowledgments We thank to Iftach Haitner and Johan Håstad for useful discussion in the early stage of this research.  ... 
doi:10.1007/978-3-642-28914-9_29 fatcat:p7f2eq2dcrc23dq5pidmjy2mty

Constant-Round Concurrent Zero Knowledge in the Bounded Player Model [chapter]

Vipul Goyal, Abhishek Jain, Rafail Ostrovsky, Silas Richelson, Ivan Visconti
2013 Lecture Notes in Computer Science  
We note that this constitutes the strongest result known on constantround concurrent zero knowledge in the plain model (under well accepted relaxations) and subsumes Barak's constant-round bounded concurrent  ...  They showed that even though the model consists of a relatively mild relaxation of the standard model, it allows for round-efficient concurrent zero knowledge.  ...  Indeed, while we know how to achieve zero-knowledge in 4 rounds, a sequence of results [21, 33, 6] increased the lower bound on the round complexity of concurrent zero-knowledge with black-box simulation  ... 
doi:10.1007/978-3-642-42033-7_2 fatcat:touymnnphvbpvdbaxmwmqf5mxu

Resettable Cryptography in Constant Rounds – The Case of Zero Knowledge [chapter]

Yi Deng, Dengguo Feng, Vipul Goyal, Dongdai Lin, Amit Sahai, Moti Yung
2011 Lecture Notes in Computer Science  
In this work, we study the question of round complexity of simultaneous resettable zero-knowledge in the BPK model.  ...  We present a constant round protocol in such a setting based on standard cryptographic assumptions. Our techniques are significantly different from the ones used  ...  Note that every resettable zero-knowledge protocol is also concurrent zero-knowledge [CGGM00] .  ... 
doi:10.1007/978-3-642-25385-0_21 fatcat:aqrlkzfzbbcxvk6s74vypa5ft4

Impossibility and Feasibility Results for Zero Knowledge with Public Keys [chapter]

Joël Alwen, Giuseppe Persiano, Ivan Visconti
2005 Lecture Notes in Computer Science  
Moreover, the existence of a constant-round non-black-box concurrent zero-knowledge argument system is currently an open question (see [5] for the main results on non-black-box zero knowledge).  ...  In light of the previous state-of-the-art, our result completes the analysis of the round complexity of black-box zero knowledge in the BPK model with respect to the notions of soundness and black-box  ...  Our result closes the analysis on the round complexity of the BPK model with respect to notions of soundness and zero knowledge, see Fig. 1 .  ... 
doi:10.1007/11535218_9 fatcat:j5i4fxbv6bbtdmed7o73fw37te

Concurrently Non-malleable Black-Box Zero Knowledge in the Bare Public-Key Model [chapter]

Yi Deng, Giovanni Di Crescenzo, Dongdai Lin, Dengguo Feng
2009 Lecture Notes in Computer Science  
We also show time-efficient instantiations of our protocol, in which the transformation from a 3-round honest-verifier zero-knowledge argument of knowledge to a 4-round concurrently non-malleable zero-knowledge  ...  Our main result is a constant-round concurrent non-malleable zero-knowledge argument of knowledge for any polynomial-time relation (associated to a language in N P), under the (minimal) assumption of the  ...  The protocol (P , V ) also enjoys the extraction property (and therefore the concurrent non-malleability property).  ... 
doi:10.1007/978-3-642-03351-3_10 fatcat:wsviypogyjaefofgbotmswpqhm
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