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Non-interactive Identity-Based DNF Signature Scheme and Its Extensions

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Information Security and Cryptology – ICISC 2008 (ICISC 2008)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5461))

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Abstract

An ID-based DNF signature scheme is an ID-based signature scheme with an access structure which is expressed as a disjunctive normal form (DNF) with literals of signer identities. ID-based DNF signature schemes are useful to achieve not only signer-privacy but also a multi-user access control. In this paper, we formally define a notion of a (non-interactive) ID-based DNF signature and propose the first non-interactive ID-based DNF signature schemes that are secure under the computational Diffie-Hellman and subgroup decision assumptions. Our first scheme uses random oracles, and our second one is designed without random oracles. To construct the second one, we use a novel technique that converts a non-interactive witness indistinguishable proof system of encryption of one bit into a corresponding proof system of encryption of a bit-string. This technique may be of independent interest. The second scheme straightforwardly yields the first ID-based ring signature that achieves anonymity against full key exposure without random oracles. We finally present two extensions of the proposed ID-based DNF signature schemes to support multiple KGCs and different messages.

This work was supported by the Second Brain Korea 21 Project.

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References

  1. Beimel, A.: Secure schemes for secret sharing and key distribution. PhD thesis, Israel Institute of Technology, Technion, Haifa, Israel (1996)

    Google Scholar 

  2. Bellare, M., Namprempre, C., Neven, G.: Security proofs for identity-based identification and signature schemes. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 268–286. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  3. Bender, A., Katz, J., Morselli, R.: Ring signatures: Stronger definitions, and constructions without random oracles. In: Halevi, S., Rabin, T. (eds.) TCC 2006. LNCS, vol. 3876, pp. 60–79. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  4. Bethencourt, J., Sahai, A., Waters, B.: Ciphertext-policy attribute-based encryption. In: Proceedings of the IEEE Symposium on Security and Privacy, pp. 321–334 (2007)

    Google Scholar 

  5. Boneh, D., Goh, E.-J., Nissim, K.: Evaluating 2-DNF formulas on ciphertexts. In: Kilian, J. (ed.) TCC 2005. LNCS, vol. 3378, pp. 325–342. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  6. Boyen, X.: Mesh signatures How to leak a secret with unwitting and unwilling participants. In: Naor, M. (ed.) EUROCRYPT 2007. LNCS, vol. 4515, pp. 210–227. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  7. Bresson, E., Stern, J., Szydlo, M.: Threshold ring signatures and applications to ad-hoc groups. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 465–480. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  8. Cha, J.C., Cheon, J.H.: An identity-based signature from gap diffie-hellman groups. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 18–30. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  9. Chow, S.S.M., Yiu, S.-M., Hui, L.C.K.: Efficient identity based ring signature. In: Ioannidis, J., Keromytis, A.D., Yung, M. (eds.) ACNS 2005. LNCS, vol. 3531, pp. 499–512. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  10. Diffe, W., Hellman, M.E.: New directions in cryptgraphy. IEEE Transactions on Information Theory IT-22(6), 644–654 (1976)

    Article  MathSciNet  Google Scholar 

  11. Gentry, C., Ramzan, Z.: Identity-based aggregate signatures. In: Yung, M., Dodis, Y., Kiayias, A., Malkin, T.G. (eds.) PKC 2006. LNCS, vol. 3958, pp. 257–273. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  12. Goyal, V., Pandey, O., Sahai, A., Waters, B.: Attribute based encryption for fine-graned access control of encrypted data. In: ACM conference on Computer and Communications Security (ACM CCS), pp. 89–98 (2006)

    Google Scholar 

  13. Groth, J., Ostrovsky, R., Sahai, A.: Perfect non-interactive zero knowledge for NP. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 339–358. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  14. Herranz, J., Sáez, G.: New identity-based ring signature schemes. In: López, J., Qing, S., Okamoto, E. (eds.) ICICS 2004. LNCS, vol. 3269, pp. 27–39. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  15. Hess, F.: Efficient identity based signature schemes based on pairings. In: Nyberg, K., Heys, H.M. (eds.) SAC 2002. LNCS, vol. 2595, pp. 310–324. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  16. Nguyen, L.: Accumulators from bilinear pairings and applications. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 275–292. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  17. Ostrovsky, R., Sahai, A., Waters, B.: Attribute-based encryption with non-monotonic access structures. In: ACM conference on Computer and Communications Security (ACM CCS), pp. 195–203 (2007)

    Google Scholar 

  18. Rivest, R., Shamir, A., Tauman, Y.: How to leak a secret. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 552–565. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  19. Sahai, A., Waters, B.: Fuzzy identity based encryption. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 457–473. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  20. Sandhu, R.S., Coyne, E.J., Youman, C.E.: Role-based access control models. IEEE Computer 29(2), 38–47 (1996)

    Article  Google Scholar 

  21. Shacham, H., Waters, B.: Efficient ring signatures without random oracles. In: Okamoto, T., Wang, X. (eds.) PKC 2007. LNCS, vol. 4450, pp. 166–180. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  22. Shamir, A.: Identity-based cryptosystems and signaure shcemes. In: Blakely, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 47–53. Springer, Heidelberg (1985)

    Chapter  Google Scholar 

  23. Waters, B.: Efficient identity-based encryption without random oralces. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 114–127. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  24. Zhang, F., Kim, K.: ID-based blind signature and ring signature from pairings. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 533–547. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

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Authors and Affiliations

  1. Graduate School of Information Management and Security, Korea University, Seoul, Korea

    Kwangsu Lee, Jung Yeon Hwang & Dong Hoon Lee

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  1. Kwangsu Lee
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  2. Jung Yeon Hwang
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  3. Dong Hoon Lee
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Editor information

Editors and Affiliations

  1. Department of Electronic and Electrical Engineering, Pohang University of Science and Technology (POSTECH), San 31 Hyoja-dong, Nam-gu,, 790-784, Pohang, Kyungbuk, Korea

    Pil Joong Lee

  2. Department of Mathematical Sciences, Seoul National University, 599 Gwanakno, Gwanak-gu, 151-742, Seoul, Korea

    Jung Hee Cheon

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Lee, K., Hwang, J.Y., Lee, D.H. (2009). Non-interactive Identity-Based DNF Signature Scheme and Its Extensions. In: Lee, P.J., Cheon, J.H. (eds) Information Security and Cryptology – ICISC 2008. ICISC 2008. Lecture Notes in Computer Science, vol 5461. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00730-9_11

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  • DOI: https://doi.org/10.1007/978-3-642-00730-9_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00729-3

  • Online ISBN: 978-3-642-00730-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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