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A more efficient untraceable e-cash system with partially blind signatures based on the discrete logarithm problem

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Financial Cryptography (FC 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1465))

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Abstract

We propose a new untraceable electronic money system based on the discrete logarithm problem. Our system improves the efficiency of Yacobi's E-money system by making the applied blind signature partial. We compare our system to the previous e-money systems which use the ElGamal-type scheme in their tracing a double-spender.

We also remark a double-registration problem on a digital cash system, recently presented in [Nguyen-Mu-Varadharajan, in Information Security Workshop'97], based on the blind Nyberg-Rueppel signature.

A part of this work is done while visiting in Columbia University, Computer Science Dept.

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References

  1. M. Abe, J. Camenisch, “Partially Blind Signature Schemes,” Proceedings of the 1997 Symposium on Cryptography and Information Security, SCIS97-33D, 1997.

    Google Scholar 

  2. M. Abe, E. Fujisaki, “How to Date Blind Signatures,” Advances in Cryptology — ASACRYPT '96, LNCS 1163, pp. 244–251, 1996.

    MATH  Google Scholar 

  3. S. Brands, “Untraceable off-line cash in wallet with observers,” In Advances in Cryptology — CRYPTO '93, LNCS 773, pp. 302–318, 1994.

    MATH  Google Scholar 

  4. S. Brands, “Off-Line Electronic Cash Based on Secret-KeyCertificates,” Proceedings of the Second International Symposium of Latin American Theoretical Informatics, 1995. http://www.cwi.nl/cwi/publications/CS-R9506.ps.Z

    Google Scholar 

  5. S. Brands, “Restrictive Binding of Secret-Key Certificates,” Advances in Cryptology — EUROCRYPT '95, LNCS 921, pp.231–247, 1995.

    MATH  Google Scholar 

  6. A. Chan, Y. Frankel, P. MacKenzie, Y. Tsiounis, “Mis-representation of Identities in E-cash Schemes and how to Prevent it,” Advances in Cryptology — ASIACRYPT '96, LNCS 1163, pp. 276–285, 1996.

    MATH  MathSciNet  Google Scholar 

  7. D. Chaum, A. Fiat, M. Naor, “Untraceable Electronic Cash,” In Advances in Cryptology — CRYPTO '88, pp. 319–327, 1988.

    Google Scholar 

  8. D. Chaum, “Blind Signature for Untraceable Payments,” In Advances in Cryptology — CRYPTO '82, pp. 199–203, 1983.

    Google Scholar 

  9. J. Camenisch, J. M. Piveteau, M. Stadler∄B!∄(B “Blind Signatures Based on the Discrete Logarithm Problem,” Advances in Cryptology — EUROCRYPT '94, LNCS 950, pp. 428–432, 1994.

    Google Scholar 

  10. T. ElGamal, “A public key cryptosystem and a signature scheme based on discrete logarithms,” IEEE Transactions on Information Theory, pp. 469–472, 1985.

    Google Scholar 

  11. M. K. Franklin, M. Yung “Secure and Efficient Off-line Digital Money,” Proceedings of ICALP '93, 1993.

    Google Scholar 

  12. O. Goldreich, S. Micali, A. Wigderson, “Proofs that yield nothing but their validity and a methodology of cryptographic protocol design,” Proceedings of IEEE FOCS '86, p.174–187, 1986.

    Google Scholar 

  13. P. Horster, M. Michels, H. Petersen, “Meta-ElGamal signature schemes,” Proceedings of 2nd ACM CCS manuscript, pp. 96–107, 1994.

    Google Scholar 

  14. P. Horster, M. Michels, H. Petersen, “Meta Message Recovery and Meta Blind signature schemes based on the discrete logarithm problem and their applications,” Advances in Cryptology — ASIACRYPT '94, LNCS 917, pp. 224–237, 1994.

    Google Scholar 

  15. S. Miyazaki, M. Abe, K. Sakurai, “Partially Blind Signature Schemes for the DSS and for a Discrete Log. based Message Recovery Signature,” Proceedings of the 1997 Korea-Japan Joint Workshop on Information Security and Cryptology, pp. 217–226, 1997.

    Google Scholar 

  16. NIST FIPS PUB XX, Digital Signature Standard(DSS), National Institute of Standards and Technology, U.S. Department of Commerce, DRAFT, 1993.

    Google Scholar 

  17. K. Q. Nguyen, Y. Mu, V. Varadharajan, “A new digital cash scheme based on blind Nyberg-Rueppel digital signature,” Pre-Proceedings of 1997 Information Security Workshop, pp. 219–226, 1997.

    Google Scholar 

  18. K. Nyberg, R. A. Rueppel, “A new signature scheme based on the DSA giving message recovery,” Proceedings of 1st ACM CCS manuscript, 1993.

    Google Scholar 

  19. D. Pointcheval, J. Stern, “Provably Secure Blind Signature Schemes,” Advances in Cryptology — ASIACRYPT '96, LNCS 1163, pp. 252–265, 1996.

    MATH  MathSciNet  Google Scholar 

  20. C. P. Schnorr, “Efficient signature generation by smart cards,” Journal of Cryptology, pp. 161–174, 1991.

    Google Scholar 

  21. B. Schoenmakers, “An efficient electronic payment system with standing parallel attacks,” Technical report, CWI, 1995. http://www.cwi.n1/ftp/CWIreports/AA/CSR9522.ps.Z

    Google Scholar 

  22. Y. Yacobi, “Efficient electronic money,” Advances in Cryptology — ASIACRYPT '94, LNCS 917, pp. 153–163, 1994.

    Google Scholar 

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Rafael Hirchfeld

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© 1998 Springer-Verlag Berlin Heidelberg

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Miyazaki, S., Sakurai, K. (1998). A more efficient untraceable e-cash system with partially blind signatures based on the discrete logarithm problem. In: Hirchfeld, R. (eds) Financial Cryptography. FC 1998. Lecture Notes in Computer Science, vol 1465. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0055490

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  • DOI: https://doi.org/10.1007/BFb0055490

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