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A Study and Design of Threshold Proxy Signature

Author: WeiLong
Tutor: PengDaiYuan
School: Southwest Jiaotong University
Course: Cryptography
Keywords: Proxy signature Threshold proxy signature Verifiable secret sharing Elliptic Curve Cryptography
CLC: TN918.1
Type: Master's thesis
Year: 2005
Downloads: 122
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Abstract


In 1996 , Mambo, Usuda and Okamoto proposed the concept of proxy signature , that is, in a proxy signature scheme , a designated proxy signer can generate a valid proxy signature on behalf of the original signer . Since then many of the special requirements of proxy signature environment for the deformation method has been proposed , a (t, n) door limit proxy signature refers to : the the proxy signature group of n individuals , only t a or t or more of the people in order on behalf of the original signer the completed proxy signature information . Threshold proxy signature more secure, decentralized management rights and good nature and widespread concern . Verifiable secret sharing mechanism is a useful tool for protecting important and sensitive information is the design threshold cryptosystem important techniques , have applications in most of the threshold proxy signature scheme . This paper first introduces the Lagrange interpolation formula , it is important mathematical foundations verifiable secret sharing mechanism , and then highlights and analysis of the wide use several typical threshold proxy signature verifiable secret sharing protocol . Existing threshold proxy signature scheme is mostly based on the discrete logarithm problem (also part based on RSA ) This paper presents an elliptic curve discrete logarithm threshold proxy signature scheme . Compared with ordinary discrete logarithm , elliptic curve cryptography has a unique advantage in terms of safety performance , key length, processing speed , system parameters , bandwidth requirements . In the introduction of a more classic threshold proxy signature mechanism SLH program based on a threshold proxy signature mechanism and the mechanism SLH program . The mechanism has a good performance , proxy signature scheme is based on elliptic curve cryptography , key and signature length is shorter . New threshold proxy signature scheme based on the use of VC programming , analog threshold proxy signature signing process , to provide a reference for the software implementation . Finally, we use threshold proxy signature concept of a new anti - fraud electronic trading program .

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