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Obfuscation-Based Non-Black-Box Extraction and Constant-Round Zero-Knowledge Arguments of Knowledge

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Information Security (ISC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8783))

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Abstract

This paper addresses the issues of constructing zero- knowledge arguments of knowledge (ZKAOK) with properties such as a small number of rounds, public-coin and strict-polynomial-time simulation and extraction, and shows the existence of the following systems for NP for the first time under some assumptions.

  • There exists a 4-round auxiliary-input ZKAOK with strict-polynomial-time simulation and extraction. Previously even combining the strict-polynomial-time simulation and extraction construction by Barak and Lindell (STOC’02) with the recent 4-round zero-knowledge argument by Pandey et al.[ePrint’13] brings such a construction using at least 6 rounds.

  • There exists a 3-round bounded-auxiliary-input ZKAOK with strict-polynomial-time simulation and extraction. Previously the extractor of the 3-round construction by Bitansky et al.[STOC’14] runs in expected-polynomial-time.

  • There exists a 2-round public-coin bounded-auxiliary-input ZKAOK with strict-polynomial-time simulation which extractor works for bounded-size provers and runs in strict-polynomial-time.

We demonstrate a new non-black-box extraction technique based on differing-input obfuscation due to Ananth et al.[ePrint’13] to achieve strict-polynomial-time extraction.

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Authors and Affiliations

  1. NTT Secure Platform Laboratories, Japan

    Ning Ding

  2. Shanghai Jiao Tong University, China

    Ning Ding

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  1. Ning Ding
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Editors and Affiliations

  1. Department of Information Engineering, Chinese University of Hong Kong, Room 808, Ho Sin Hang Engineering Building, Sha Tin, N.T., Hong Kong, China

    Sherman S. M. Chow

  2. IBM Research Zurich, Säumerstrasse 4, 8803, Rüschlikon, Switzerland

    Jan Camenisch

  3. Department of Computer Science, The University of Hong Kong, Chow Yei Ching Building, Pokfulam Road, Hong Kong, China

    Lucas C. K. Hui  & Siu Ming Yiu  & 

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Ding, N. (2014). Obfuscation-Based Non-Black-Box Extraction and Constant-Round Zero-Knowledge Arguments of Knowledge. In: Chow, S.S.M., Camenisch, J., Hui, L.C.K., Yiu, S.M. (eds) Information Security. ISC 2014. Lecture Notes in Computer Science, vol 8783. Springer, Cham. https://doi.org/10.1007/978-3-319-13257-0_8

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  • DOI: https://doi.org/10.1007/978-3-319-13257-0_8

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13256-3

  • Online ISBN: 978-3-319-13257-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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