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Non-interactive CDH-Based Multisignature Scheme in the Plain Public Key Model with Tighter Security

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Information Security (ISC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7001))

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Abstract

A multisignature scheme allows an ad hoc set of users to sign a message so that the resulting single signature certifies that the users endorsed the message. However, all known multisignatures are either at the price of complexity and additional trust of Certificate Authority (CA), or sacrificing efficiency of computation and communication (including both bandwidth and round). This paper proposes a new multisignature scheme with efficient verification in the plain public key model. Our multisignatures enjoys the most desired features: (1) Our plain public key model-based multisignatures do not impose any impractical key setup or PKI requirements; (2) Our multisignature scheme is non-interactive, which saves computation and communication in signature generation; (3) Through pre-computation, our scheme achieves \(\mathcal{O}(1)\) verification in the plain public key model; (4) Provable tighter security under the standard CDH assumption ensures high level of security in both practice and theory. Hence, our non-interactive multisignatures are of great use in authentication of routes in networks.

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References

  1. Micali, S., Ohta, K., Reyzin, L.: Accountable-Subgroup Multisignatures: Extended Abstract. In: Eighth ACM Conference on Computer and Communications Security, pp. 245–254. ACM Press, New York (2001)

    Google Scholar 

  2. Bellare, M., Neven, G.: Multisignatures in the Plain Public-Key Model and a General Forking Lemma. In: 13th ACM Conference on Computer and Communications Security, pp. 390–399. ACM Press, New York (2006)

    Google Scholar 

  3. Boldyreva, A.: Threshold Signatures, Multisignatures and Blind Signatures Based on the Gap-Diffie-Hellman-Group Signature Scheme. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 31–46. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  4. Kim, J., Tsudik, G.: Srdp: Securing Route Discovery in DSR. In: Second Annual International Conference on Mobile and Ubiquitous Systems: Networking and Services, pp. 247–260. IEEE Press, Los Alamitos (2005)

    Chapter  Google Scholar 

  5. Bagherzandi, A., Cheon, J., Jarecki, S.: Multisignatures Secure under the Discrete Logarithm Assumption and a Generalized Forking Lemma. In: The 15th ACM Conference on Computer and Communications Security, pp. 449–458. ACM Press, New York (2008)

    Google Scholar 

  6. Bagherzandi, A., Jarecki, S.: Multisignatures Using Proofs of Secret Key Possession, as Secure as the Diffie-Hellman Problem. In: Ostrovsky, R., De Prisco, R., Visconti, I. (eds.) SCN 2008. LNCS, vol. 5229, pp. 218–235. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  7. Castelluccia, C., Jarecki, S., Kim, J., Tsudik, G.: Secure Acknowledgment Aggregation and Multisignatures with Limited Robustness. Comput. Netw. 50, 1639–1652 (2006)

    Article  MATH  Google Scholar 

  8. Lin, X., Sun, X., Ho, P.H., Shen, X.: Gsis: A Secure and Privacy Preserving Protocol for Vehicular Communications. IEEE Trans. on Vehicular Tech. 56, 3442–3456 (2007)

    Article  Google Scholar 

  9. Lu, R., Lin, X., Zhu, H., Ho, P.H., Shen, X.: Ecpp: Efficient Conditional Privacy Preservation Protocol for Secure Vehicular Communications. In: The 27th Conference on Computer Communications IEEE INFOCOM 2008, pp. 14–18. IEEE Press, Los Alamitos (2008)

    Google Scholar 

  10. Lu, R., Lin, X., Shen, X.: Spring: A social-based Privacy-Preserving Packet Forwarding Protocol for Vehicular Delay Tolerant Networks. In: The 29th Conference on Computer Communications, IEEE INFOCOM 2010, pp. 14–19. IEEE Press, Los Alamitos (2010)

    Google Scholar 

  11. Itakura, K., Nakamura, K.: A Public Key Cryptosystem Suitable for Digital Multisignatures. NEC Research & Development 71, 1–8 (1983)

    Google Scholar 

  12. Ohta, K., Okamoto, R.: Multisignature Schemes Secure Against Active Insider Attacks. IEICE Transactions on Fundamentals E82-A, 21–31 (1999)

    Google Scholar 

  13. Lu, S., Ostrovsky, R., Sahai, A., Shacham, H., Waters, B.: Sequential Aggregate Signatures and Multisignatures Without Random Oracles. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 465–485. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  14. Ristenpart, T., Yilek, S.: The Power of Proofs-of-Possession: Securing Multiparty Signatures Against Rogue-Key Attacks. In: Naor, M. (ed.) EUROCRYPT 2007. LNCS, vol. 4515, pp. 228–245. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  15. Adams, C., Farrell, S., Kause, T., Monen, T.: Internet X.509 Public Key Infrastructure Certificate Management Protocol, cmp (2005)

    Google Scholar 

  16. Schaad, J.: Internet X.509 Public Key Infrastructure Certificate Request Message Format (2005)

    Google Scholar 

  17. Ma, C., Weng, J., Li, Y., Deng, R.: Efficient Discrete Logarithm Based Multi-Signature Scheme in the Plain Public Key Model. Des. Codes Cryptography 54, 121–133 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  18. Boneh, D., Gentry, C., Lynn, B., Shacham, H.: Aggregate and Verifiably Encrypted Signatures. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 416–432. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  19. Bellare, M., Rogaway, P.: Random Oracles Are Practical: a Paradigm for Designing Efficient Protocols. In: 10th ACM Conference on Computer and Communications Security, pp. 62–73. ACM Press, New York (1993)

    Google Scholar 

  20. Bellare, M., Namprempre, C., Neven, G.: Unrestricted Aggregate Signatures. In: Arge, L., Cachin, C., Jurdziński, T., Tarlecki, A. (eds.) ICALP 2007. LNCS, vol. 4596, pp. 411–422. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  21. Barr, K., Asanović, K.: Energy-Aware Lossless Data Compression. ACM Trans. Comput. Syst. 24, 250–291 (2006)

    Article  Google Scholar 

  22. Qian, H., Xu, S.: Non-Interactive Multisignatures in the Plain Public-Key Model with Efficient Verification. Inf. Process. Lett. 111, 82–89 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  23. Goldwasser, S., Micali, S., Rivest, R.: A Digital Signature Scheme Secure Against Adaptive Chosen-Message Attacks. SIAM Journal of Computing 17, 281–308 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  24. Boneh, D., Lynn, B., Shacham, H.: Short Signatures from the Weil Pairing. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 514–532. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  25. Galbraith, S., Paterson, K., Smart, N.: Pairings for Cryptographers. Discrete Applied Mathematics 156, 3113–3121 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  26. Lysyanskaya, A., Micali, S., Reyzin, L., Shacham, H.: Sequential Aggregate Signatures from Trapdoor Permutations. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 74–90. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  27. Neven, G.: Efficient Sequential Aggregate Signed Data. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 52–69. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  28. Gentry, C., Ramzan, Z.: Identity-Based Aggregate Signatures. In: Yung, M., Dodis, Y., Kiayias, A., Malkin, T. (eds.) PKC 2006. LNCS, vol. 3958, pp. 257–273. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  29. Ahn, J.H., Green, M., Hohenberger, S.: Synchronized Aggregate Signatures: New Definitions, Constructions and Applications. In: 17th ACM Conference on Computer and Communications Security, pp. 473–484. ACM Press, New York (2010)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Computer Science and Technology, East China Normal University, China

    Yuan Zhou, Haifeng Qian & Xiangxue Li

  2. Network Emergency Response Technical Team/Coordination Center, China

    Yuan Zhou

Authors
  1. Yuan Zhou
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  2. Haifeng Qian
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  3. Xiangxue Li
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Min Hang Shanghai, China

    Xuejia Lai

  2. Cryptography and Security Department, Institute for Infocomm Research, Singapore

    Jianying Zhou

  3. Key Laboratory of Computer Networks and Information, Security Xidian University, 2 South Taibai Road, Xi’an, 710071, Shaanxi, China

    Hui Li

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Zhou, Y., Qian, H., Li, X. (2011). Non-interactive CDH-Based Multisignature Scheme in the Plain Public Key Model with Tighter Security. In: Lai, X., Zhou, J., Li, H. (eds) Information Security. ISC 2011. Lecture Notes in Computer Science, vol 7001. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24861-0_23

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  • DOI: https://doi.org/10.1007/978-3-642-24861-0_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24860-3

  • Online ISBN: 978-3-642-24861-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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