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Threshold Digital Signature Scheme’s Research and Its Applications

Author: WangXueMin
Tutor: ZhouDongQing
School: Dalian University of Technology
Course: Applied Computer Technology
Keywords: Secret Sharing Threshold Signature PKI system Trust Center
CLC: TN918.1
Type: Master's thesis
Year: 2010
Downloads: 40
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Abstract


With the development of computer technology and the Internet technology, people are increasingly high requirements for information security. Digital signatures as a means to protect the security of information, ensure data integrity, non-repudiation aspects play an important role. Threshold digital signature scheme based on secret sharing because of its excellent properties specific to become one of the hotspots of the password academia. It not only enhances the security of the private key, to improve the reliability and availability of the system, but also to achieve dispersion of the rights. In this paper, a practical project, the military security system solutions, leads to the concept of threshold signature. The program draws on the PKI (public key infrastructure) system to issue a public key certificate for the entity to achieve authentication, thus using the SSL protocol for data transmission. Root CA signature key generation, storage and use, require a high degree of confidentiality and reliability, and thus the introduction of threshold signature ideological. This paper signature to the door, made the following research: (1) improved Shamir's secret sharing agreement. Shamir secret sharing protocol is to be used in the agreement of the majority threshold digital signature scheme, its improvement threshold digital signature scheme efficiency is good. In this paper, differential and difference quotient mathematical tools to improve the Shamir secret sharing agreement, its complexity from the original O (ntk log2n) reduced to O (ntk), where n is the number of participants, t is the threshold value, k is the number of bits of arithmetic domain. (2) improved Gennaro multiplication protocol Gennaro multiplication agreement shall be based on the polynomial multiplication agreement to share variables in some threshold signature scheme application. In this paper, the difference quotient differential, Fourier transform rapid multiplication and other mathematical tools, combined with the idea of ??online and offline algorithm improved the agreement, its algorithm complexity from the original O (n2klog2n nk2) down to O (nklog2k ), wherein the meaning of n, k, t (1) in the same. (3) no secret distributor based RSA threshold signature scheme. The most no distributor door threshold signature scheme based on discrete logarithm, this paper broke through the conventional, proposed a signature scheme based on RSA's no secret door distributor, has a certain novelty. Finally, the paper also gives the military broad design of security solutions, also elaborated threshold signature other scenarios.

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CLC: > Industrial Technology > Radio electronics, telecommunications technology > Communicate > Confidentiality of communications and communications security > Theory
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