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Precise zero-knowledge arguments with poly-logarithmic efficiency

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Abstract

Precise zero-knowledge was introduced by Micali and Pass in STOC’06. This notion captures the idea that the view of a verifier can be reconstructed in almost same time. Following the notion, they constructed some precise zero-knowledge proofs and arguments, in which the communicated messages are polynomial bits. In this paper, we employ the new simulation technique introduced by them to provide a precise simulator for a modified Kilian’s zero-knowledge arguments with poly-logarithmic efficiency (this modification addressed by Rosen), and as a result we show this protocol is a precise zero-knowledge argument with poly-logarithmic efficiency. We also present an alternative construction of the desired protocols.

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Correspondence to Ning Ding  (丁 宁).

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Foundation item: the National Natural Science Foundation of China (No. 60573031) and New Century Excellent Talent Program of Education Ministry of China (No. NCET-05-0398)

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Ding, N., Gu, Dw. Precise zero-knowledge arguments with poly-logarithmic efficiency. J. Shanghai Jiaotong Univ. (Sci.) 14, 584–589 (2009). https://doi.org/10.1007/s12204-009-0584-3

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  • DOI: https://doi.org/10.1007/s12204-009-0584-3

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