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Parallel Repetition of Computationally Sound Protocols Revisited
KTH, School of Computer Science and Communication (CSC), Theoretical Computer Science, TCS.ORCID iD: 0000-0003-4157-1371
2012 (English)In: Journal of Cryptology, ISSN 0933-2790, E-ISSN 1432-1378, Vol. 25, no 1, 116-135 p.Article in journal (Refereed) Published
Abstract [en]

We prove a negative result concerning error reduction by parallel repetition for computationally sound protocols, e.g., interactive arguments. Our main result is a complete and computationally sound eight round interactive argument for which k-fold parallel repetition does not reduce the error below a constant for any polynomial k. The starting point for our construction is the work of Bellare, Impagliazzo and Naor (FOCS'97). For any fixed k, they construct a four round protocol for which k-fold parallel repetition does not lower the soundness error. The communication complexity of this protocol is linear in k. By using universal arguments due to Barak and Goldreich (CCC 2002), we turn this protocol into an eight-round protocol whose complexity is basically independent of k.

Place, publisher, year, edition, pages
2012. Vol. 25, no 1, 116-135 p.
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Computer and Information Science
URN: urn:nbn:se:kth:diva-75535DOI: 10.1007/s00145-010-9090-xISI: 000298810700005ScopusID: 2-s2.0-84855444381OAI: diva2:490797
ICT - The Next Generation

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Available from: 2012-02-06 Created: 2012-02-06 Last updated: 2013-04-11Bibliographically approved

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