Round-Optimal Fully Black-Box Zero-Knowledge Arguments from One-Way Permutations

Round-Optimal Fully Black-Box Zero-Knowledge Arguments from One-Way Permutations
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来自单向排列的轮优化全黑盒零知识论证

DOI:
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发表时间:
2018
期刊:
IACR Cryptology ePrint Archive
影响因子:
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通讯作者:
Muthuramakrishnan Venkitasubramaniam
Muthuramakrishnan Venkitasubramaniam
中科院分区:
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文献类型:
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作者:
Carmit Hazay;Muthuramakrishnan Venkitasubramaniam

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在本文中,我们重新审视了从最小假设出发通过黑盒构造设计零知识(ZK)论证的整体复杂性。我们的主要结果基于单向单向函数,为 \(\textsf {NP}\) 中的任何语言实现了 4 轮 ZK 参数,这使得黑盒使用底层函数。作为推论,我们还通过黑盒构造获得了基于无爪排列的 \(\textsf {NP}\) 的第一个 4 轮完美零知识论证,以及基于单射单向函数的 4 轮输入延迟提交和证明零知识论证。
In this paper, we revisit the round complexity of designing zero-knowledge (ZK) arguments via a black-box construction from minimal assumptions. Our main result implements a 4-round ZK argument for any language in \(\textsf {NP}\), based on injective one-way functions, that makes black-box use of the underlying function. As a corollary, we also obtain the first 4-round perfect zero-knowledge argument for \(\textsf {NP}\) based on claw-free permutations via a black-box construction and 4-round input-delayed commit-and-prove zero-knowledge argument based on injective one-way functions.