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Multiple-Bank E-Cash without Random Oracles

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Cyberspace Safety and Security (CSS 2013)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8300))

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Abstract

Multiple-bank e-cash (electronic cash) model allows users and merchants to open their accounts at different banks. Most e-cash systems in the literature have been proposed in the single bank model in which clients and merchants have accounts at the same bank. In recent years, some multiple-bank e-cash systems were proposed, but they were proven secure in the random oracle model. In this paper, based on the Groth-Sahai proof system and Ghadafi group blind signature, we construct a multiple-bank e-cash system which is proven secure in the standard model. We achieve the dual privacy requirement (i.e., the user anonymity and bank anonymity) by using the group blind signature. Our scheme can also trace the identity of the signer. At last, some security properties of our scheme, such as anonymity, unforgeability, identification of the double spender and exculpability, are proved in the standard model.

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References

  1. Lysyanskaya, A., Ramzan, Z.: Group blind signature: a scalable solution to electronic cash. In: Hirschfeld, R. (ed.) FC 1998. LNCS, vol. 1465, pp. 184–197. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  2. Canetti, R., Goldreich, O., Halevi, S.: The random oracle methodology, revisited. In: 30th AcM STOC, pp. 209–218. ACM Press (1998)

    Google Scholar 

  3. Bellare, M., Boldyreva, A., Palacio, A.: An uninstantiable random-oracle-model scheme for a hybrid-encryption problem. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 171–188. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  4. Camenisch, J.L., Hohenberger, S., Lysyanskaya, A.: Compact E-cash. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 302–321. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Canard, S., Gouget, A.: Divisible e-cash systems can be truly anonymous. In: Naor, M. (ed.) EUROCRYPT 2007. LNCS, vol. 4515, pp. 482–497. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  6. Au, M.H., Wu, Q., Susilo, W., Mu, Y.: Compact e-cash from bounded accumulator. In: Abe, M. (ed.) CT-RSA 2007. LNCS, vol. 4377, pp. 178–195. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  7. Au, M.H., Susilo, W., Mu, Y.: Practical anonymous divisible e-cash from bounded accumulators. In: Tsudik, G. (ed.) FC 2008. LNCS, vol. 5143, pp. 287–301. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  8. Belenkiy, M., Chase, M., Kohlweiss, M., Lysyanskaya, A.: Compact E-cash and simulatable VRFs revisited. In: Shacham, H., Waters, B. (eds.) Pairing 2009. LNCS, vol. 5671, pp. 114–131. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  9. Canard, S., Gouget, A.: Multiple Denominations in E-cash with Compact Transaction Data. In: Sion, R. (ed.) FC 2010. LNCS, vol. 6052, pp. 82–97. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  10. Blazy, O., Canard, S., Fuchsbauer, G., Gouget, A., Sibert, H., Traoré, J.: Achieving optimal anonymity in transferable e-cash with a judge. In: Nitaj, A., Pointcheval, D. (eds.) AFRICACRYPT 2011. LNCS, vol. 6737, pp. 206–223. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  11. Izabachène, M., Libert, B.: Divisible e-cash in the standard model. In: Abdalla, M., Lange, T. (eds.) Pairing 2012. LNCS, vol. 7708, pp. 314–332. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  12. Belenkiy, M., Chase, M., Kohlweiss, M., Lysyanskaya, A.: Compact E-Cash and Simulatable VRFs Revisited. In: Shacham, H., Waters, B. (eds.) Pairing 2009. LNCS, vol. 5671, pp. 114–131. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  13. Belenkiy, M., Chase, M., Kohlweiss, M., Lysyanskaya, A.: P-signatures and noninteractive anonymous credentials. In: Canetti, R. (ed.) TCC 2008. LNCS, vol. 4948, pp. 356–374. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  14. Chase, M., Lysyanskaya, A.: Simulatable vrfs with applications to multi-theorem nizk. In: Menezes, A. (ed.) CRYPTO 2007. LNCS, vol. 4622, pp. 303–322. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  15. Goyal, V., Mohassel, P., Smith, A.: Efficient non-interactive proof systems for bilinear groups. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 415–432. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  16. Zhang, J., Li, Z., Guo, H.: Anonymous transferable conditional E-cash. In: Keromytis, A.D., Di Pietro, R. (eds.) SecureComm 2012. LNICST, vol. 106, pp. 45–60. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  17. Jeong, I.R., Lee, D.-H.: Anonymity control in multi-bank E-cash system. In: Roy, B., Okamoto, E. (eds.) INDOCRYPT 2000. LNCS, vol. 1977, pp. 104–116. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  18. Wang, S., Chen, Z., Wang, X.: A new certificateless electronic cash scheme with multiple banks based on group signatures. In: Proc. of 2008 International Symposium on Electronic Commerce and Security, pp. 362–366 (2008)

    Google Scholar 

  19. Chen, M., Fan, C., Juang, W., Yeh, Y.: An efficient electronic cash scheme with multiple banks using group signature. International Journal of Innovative Computing, Information and Control 8(7) (2012)

    Google Scholar 

  20. Nguyen, K.Q., Mu, Y., Varadharajan, V.: Divertible zero-knowledge proof of polynomial relations and blind group signature. In: Pieprzyk, J.P., Safavi-Naini, R., Seberry, J. (eds.) ACISP 1999. LNCS, vol. 1587, pp. 117–128. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  21. Okamoto, T., Ohta, K.: Divertible zero knowledge interactive proofs and commutative random self-reducibility. In: Quisquater, J.-J., Vandewalle, J. (eds.) EUROCRYPT 1989. LNCS, vol. 434, pp. 134–149. Springer, Heidelberg (1990)

    Chapter  Google Scholar 

  22. Ghadafi, E.: Formalizing group blind signatures and practical constructions without random oracles. In: Boyd, C., Simpson, L. (eds.) ACISP. LNCS, vol. 7959, pp. 330–346. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  23. Abe, M., Fuchsbauer, G., Groth, J., Haralambiev, K., Ohkubo, M.: Structure-preserving signatures and commitments to group elements. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 209–236. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  24. Fuchsbauer, G.: Commuting signatures and verifiable encryption. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 224–245. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  25. Ghadafi, E., Smart, N.P., Warinschi, B.: Groth-Sahai proofs revisited. In: Nguyen, P.Q., Pointcheval, D. (eds.) PKC 2010. LNCS, vol. 6056, pp. 177–192. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  26. Fuchsbauer, G.: Automorphic Signatures in Bilinear Groups and an Application to Round-Optimal Blind Signatures. In: Cryptology ePrint Archive, Report 2009/320, http://eprint.iacr.org/2009/320.pdf

  27. Dodis, Y., Yampolskiy, A.: A Verifiable Random Function with Short Proofs and Keys. In: Vaudenay, S. (ed.) PKC 2005. LNCS, vol. 3386, pp. 416–431. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

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Zhang, J., Li, Z., Guo, H. (2013). Multiple-Bank E-Cash without Random Oracles. In: Wang, G., Ray, I., Feng, D., Rajarajan, M. (eds) Cyberspace Safety and Security. CSS 2013. Lecture Notes in Computer Science, vol 8300. Springer, Cham. https://doi.org/10.1007/978-3-319-03584-0_4

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  • DOI: https://doi.org/10.1007/978-3-319-03584-0_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03583-3

  • Online ISBN: 978-3-319-03584-0

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