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Certificateless Threshold Ring Signature

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 Conclusion. Introduction. 2001 Rivest et al. Ring signature

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Certificateless Threshold Ring Signature

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  1. 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

  2. Outline • Introduction • Definition • Proposed scheme • Conclusion

  3. 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

  4. Ring signature • spontaneity • anonymity • Threshold setting • key escrow • certificateless public key cryptography

  5. Outline • Introduction • Definition • Proposed scheme • Conclusion

  6. Definition • SetUp • MasterKeyGen • PartialKeyGen • UserKeyGen • Sign • Verify

  7. Outline • Introduction • Definition • Proposed scheme • Conclusion

  8. An efficient 1-out-of-n certificateless ring signature A t-out-of-n certificateless Threshold Ring Signature (CL-TRS)

  9. 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

  10. 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

  11. An efficient 1-out-of-n certificateless ring signature • Sign • Input (param, mpk, R, S, m) • Randomly pick • Compute

  12. An efficient 1-out-of-n certificateless ring signature • Compute • Compute • The signature is

  13. An efficient 1-out-of-n certificateless ring signature • Verify • Input (param, mpk, R, 1, S, m, σ) • if

  14. An efficient 1-out-of-n certificateless ring signature A t-out-of-n certificateless Threshold Ring Signature (CL-TRS)

  15. CL-TRS • Sign • Input (param, mpk, R, S, m) • 1.

  16. CL-TRS • 2. • 3. Compute • construct a polynomial fof degree n-t f(0)=c, f(i)=ci

  17. CL-TRS • 4. Compute • 5.Compute • The signature is

  18. CL-TRS • Verify • Input param, mpk, R, t, m, • the degree of polynomial f is n-t

  19. Outline • Introduction • Definition • Proposed scheme • Conclusion

  20. Conclusion • The author proposed one efficient 1-out-of-n CL-TRS and another t-out-of-n CL-TRS. • Both of them are more efficient than previous ones in both computational complexity and signature size.

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