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Certificateless Threshold Ring Signature. Source: Information Sciences 179(2009) 3685-3696 Author: Shuang Chang, Duncan S. Wong, Yi Mu, Zhenfeng Zhang Presenter: Chun-Yen Lee. Outline. Introduction Definition Proposed scheme. Ring signature. Introduction. Ring signature. Introduction.
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Certificateless Threshold Ring Signature Source: Information Sciences 179(2009) 3685-3696 Author: Shuang Chang, Duncan S. Wong, Yi Mu, Zhenfeng Zhang Presenter: Chun-Yen Lee
Outline • Introduction • Definition • Proposed scheme
Ring signature Introduction
Ring signature Introduction Public Key Secret Key
Ring signature Introduction Public Key Secret Key
Ring signature Introduction Public Key Secret Key
Introduction • 2001Rivest et al. • Ring signature • 2002Bresson et al. • extended the notion of ring signature to threshold setting • 2003Al-Riyami and Paterson • certificateless public key cryptography
Outline • Introduction • Definition • Proposed scheme
Definition • SetUp • MasterKeyGen • PartialKeyGen • UserKeyGen • Sign • Verify
Definition • SetUp • System parameters (param) • MaterKeyGen • master public key (mpk) • master secret key (msk)
Definition Master Public Key Master Secret Key • PartialKeyGen • UserKeyGen params ID user partial key (psk) params user secret key (usk) ID user public key (upk)
Definition Public Key Secret Key Sign verify
Sign Definition Public Key Secret Key verify
Outline • Introduction • Definition • Proposed scheme
An efficient 1-out-of-n certificateless ring signature • SetUp • Input: • Output: param • MasterKeyGen • Input: param • Randomly pick a master secret key • Master public key
An efficient 1-out-of-n certificateless ring signature • PartialKeyGen • Input (param, msk, ID) • UserKeyGen • Input (param, mpk, ID) • Randomly pick a user secret key • user public key
An efficient 1-out-of-n certificateless ring signature • Sign • Input (param, mpk, R, S, m) • Randomly pick • Compute
An efficient 1-out-of-n certificateless ring signature • Compute • Compute • The signature is
An efficient 1-out-of-n certificateless ring signature • Verify • Input (param, mpk, R, 1, S, m, σ) • if