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Subject: Computer Science (provided by Thomson Reuters)
Title:
NP问题的最优轮复杂性知识的零知识证明
Alternative Title: round-optimal zero-knowledge proofs of knowledge for np
Author: 李红达 ; 冯登国 ; 李宝 ; 徐海霞
Keyword: 零知识证明 ; 知识的证明 ; 黑箱模拟 ; 常数轮 ; 密码学
Source: 中国科学:信息科学
Issued Date: 2012
Volume: 42, Issue:1, Pages:20-31
Indexed Type: CNKI ; CSCD
Department: 信息安全国家重点实验室;中国科学院研究生院;中国科学院软件研究所;
Sponsorship: 国家重点基础研究发展计划(批准号:2007CB311202,2007CB311201)|国家自然科学基金(批准号:60970139)资助项目
Abstract: NP问题已有的知识的(黑箱)零知识证明都是非常数轮的,因此,在标准的复杂性假设下,NP问题是否存在常数轮的(黑箱)知识的零知识证明是一个有意义的问题.本文对该问题进行了研究,在一定的假设下给出了HC问题的两个常数轮知识的零知识证明系统.根据Katz最近的研究结果,在多项式分层不坍塌的条件下,本文基于claw-free陷门置换给出的HC问题的5轮知识的零知识证明系统具有最优的轮复杂性.
English Abstract: It is well known that all the known black-box zero-knowledge proofs of knowledge for NP are nonconstant-round.Whether there exit constant-round black-box zero-knowledge proofs of knowledge for all NP languages under certain standard assumptions is an open problem.This paper focuses on the problem and gives a positive answer by presenting two constructions of constant-round(black-box) zero-knowledge proofs of knowledge for the HC(Hamiltonian cycle) problem.By the recent result of Katz,our second construction which relies on the existence of claw-free functions has optimal round complexity(5-round) assuming the polynomial hierarchy does not collapse.
Language: 中文
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Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/14907
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
李红达,冯登国,李宝,等. NP问题的最优轮复杂性知识的零知识证明[J]. 中国科学:信息科学,2012-01-01,42(1):20-31.
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