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政大典藏 > College of Informatics > Department of Computer Science > Periodical Articles > Item 140.119/68433

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/68433

Title:	How to verify the threshold t of the Shamir’s (t,n)-threshold scheme
Authors:	左瑞麟 Tso,Raylin;Miao,Ying;Takeshi Okamoto;Eiji Okamoto
Contributors:	資科系
Date:	2005
Issue Date:	2014-08-07 14:41:34 (UTC+8)
Abstract:	In the Shamir (t, n)-threshold scheme, the dealer constructs a random polynomial f(x) ∈ GF(p)[x] of degree at most t-1 in which the constant term is the secret K ∈ GF(p). However, if the chosen polynomial f(x) is of degree less than t-1, then a conspiracy of any t-1 participants can reconstruct the secret K;on the other hand, if the degree of f(x) is greater than t-1, then even t participants can not reconstruct the secret K properly. To prevent these from happening, the degree of the polynomial f(x) should be exactly equal to t-1 if the dealer claimed that the threshold of this scheme is t. There also should be some ways for participants to verify whether the threshold is exactly t or not. A few known verifiable threshold schemes provide such ability but the securities of these schemes are based on some cryptographic assumptions. The purpose of this paper is to propose some threshold-verification protocols for the Shamir (t, n)-threshold scheme from the viewpoint of unconditional security.
Relation:	Transactions of Information Processing Society of Japan,46(8),1824-1833
Data Type:	article
Appears in Collections:	[Department of Computer Science ] Periodical Articles

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