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International Conference on Information Security and Cryptology

ICISC 2004: Information Security and Cryptology – ICISC 2004 pp 51–66Cite as

An Efficient and Verifiable Solution to the Millionaire Problem

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Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 3506))

Abstract

A new solution to the millionaire problem is designed on the base of two new techniques: zero test and batch equation. Zero test is a technique used to test whether one or more ciphertext contains a zero without revealing other information. Batch equation is a technique used to test equality of multiple integers. Combination of these two techniques produces the only known solution to the millionaire problem that is correct, private, publicly verifiable and efficient at the same time.

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References

  1. Aditya, R., Peng, K., Boyd, C., Dawson, E.: Batch verification for equality of discrete logarithms and threshold decryptions. In: Jakobsson, M., Yung, M., Zhou, J. (eds.) ACNS 2004. LNCS, vol. 3089, pp. 494–508. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Beaver, D.: Minimal-latency secure function evaluation. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 335–350. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  3. Ben-Or, M., Goldwasser, S., Killian, J., Wigderson, A.: Multi-prover interactive proofs: How to remove intractability assumptions. In: Proceedings of the Twentieth Annual ACM Symposium on Theory of Computing, STOC 1988, pp. 113–131 (1988)

    Google Scholar 

  4. Cachin, C.: Efficient private bidding and auctions with an oblivious third party. In: The 6th ACM Conference on Computer and Communications Security (1999), Available at http://www.tml.hut.fi/~helger/crypto/link/protocols/auctions.html

  5. Cachin, C., Camenisch, J.: Optimistic fair secure computation (extended abstract). In: Bellare, M. (ed.) CRYPTO 2000. LNCS, vol. 1880, pp. 94–112. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  6. Chaum, D., Damgård, I.B., van de Graaf, J.: Multiparty computations ensuring privacy of each party’s input and correctness of the result. In: Pomerance, C. (ed.) CRYPTO 1987. LNCS, vol. 293, pp. 87–119. Springer, Heidelberg (1988)

    Google Scholar 

  7. Chaum, D., Pedersen, T.P.: Wallet databases with observers. In: Brickell, E.F. (ed.) CRYPTO 1992. LNCS, vol. 740, pp. 89–105. Springer, Heidelberg (1993)

    Google Scholar 

  8. Chaum, D., Crepeau, C., Damgård, I.: Multiparty unconditionally secure protocols (extended abstract). In: Proceedings of the Twentieth Annual ACM Symposium on Theory of Computing, STOC 1988, pp. 11–19 (1988)

    Google Scholar 

  9. Cramer, R., Damgård, I., Dziembowski, S., Hirt, M., Rabin, T.: Efficient multiparty computations secure against an adaptive adversary. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 311–326. Springer, Heidelberg (1999)

    Google Scholar 

  10. Cramer, R., Damgård, I., Nielsen, J.B.: Multiparty computation from threshold homomorphic encryption. In: Pfitzmann, B. (ed.) EUROCRYPT 2001. LNCS, vol. 2045, pp. 280–299. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  11. Feldman, P.: A practical scheme for non-interactive verifiable secret sharing. In: 28th Annual Symposium on Foundations of Computer Science, pp. 427–437 (1987)

    Google Scholar 

  12. Fischlin, M.: A cost-effective pay-per-multiplication comparison method for millionaires. In: Naccache, D. (ed.) CT-RSA 2001. LNCS, vol. 2020, pp. 457–472. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  13. Franklin, M.K., Haber, S.: Joint encryption and message-efficient secure computation. Journal of Cryptology 9(4), 217–232 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  14. Gennaro, R., Jarecki, S., Krawczyk, H., Rabin, T.: Secure distributed key generation for discrete-log based cryptosystems. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 123–139. Springer, Heidelberg (1999)

    Google Scholar 

  15. Gennaro, R., Rabin, M.O., Rabin, T.: Simplified VSS and fast-track multiparty computations with applications to threshold cryptography. In: Proceedings of the seventeenth annual ACM symposium on Principles of distributed computing, PODC 1998, pp. 101–111 (1987)

    Google Scholar 

  16. Goldreich, O., Micali, S., Wigderson, A.: How to play any mental game or a completeness theorem for protocols with honest majority. In: Proceedings of the Nineteenth Annual ACM Symposium on Theory of Computing, STOC 1987, pp. 218–229 (1987)

    Google Scholar 

  17. Golle, P., Zhong, S., Boneh, D., Jakobsson, M., Juels, A.: Optimistic mixing for exit-polls. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 451–465. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  18. Groth, J.: A verifiable secret shuffle of homomorphic encryptions. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 145–160. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  19. Jakobsson, M., Juels, A.: Mix and match: Secure function evaluation via ciphertexts. In: Okamoto, T. (ed.) ASIACRYPT 2000. LNCS, vol. 1976, pp. 143–161. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  20. Juels, A., Szydlo, M.: An two-server auction protocol. In: Proc. of Financial Cryptography, pp. 329–340 (2002)

    Google Scholar 

  21. Kurosawa, K., Ogata, W.: Bit-slice auction circuit. In: Gollmann, D., Karjoth, G., Waidner, M. (eds.) ESORICS 2002. LNCS, vol. 2502, pp. 24–38. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  22. Lipmaa, H.: Verifiable homomorphic oblivious transfer and private equality test. In: Laih, C.-S. (ed.) ASIACRYPT 2003. LNCS, vol. 2894, pp. 416–433. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  23. Menezes, A., van Oorschot, P., Vanstone, S.: Handbook of Applied Cryptography. CRC Press, Boca Raton (1996)

    Book  Google Scholar 

  24. Naor, M., Pinkas, B., Sumner, R.: Privacy perserving auctions and mechanism design. In: ACM Conference on Electronic Commerce 1999, pp. 129–139 (1999)

    Google Scholar 

  25. Paillier, P.: Public key cryptosystem based on composite degree residuosity classes. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 223–238. Springer, Heidelberg (1999)

    Google Scholar 

  26. Park, C., Itoh, K., Kurosawa, K.: Efficient anonymous channel and all/nothing election scheme. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 248–259. Springer, Heidelberg (1994)

    Google Scholar 

  27. Pedersen, T.P.: A threshold cryptosystem without a trusted party. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 522–526. Springer, Heidelberg (1991)

    Google Scholar 

  28. Pedersen, T.P.: Distributed Provers and Verifiable Secret Sharing Based on the Discrete Logarithm Problem. PhD thesis, Computer Science Department, Aarhus University, Aarhus, Denmark (1992)

    Google Scholar 

  29. Peng, K., Boyd, C., Dawson, E., Viswanathan, K.: Efficient implementation of relative bid privacy in sealed-bid auction. In: Chae, K.-J., Yung, M. (eds.) WISA 2003. LNCS, vol. 2908, pp. 244–256. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  30. Peng, K., Boyd, C., Dawson, E., Viswanathan, K.: A correct, private, and efficient mix network. In: Bao, F., Deng, R., Zhou, J. (eds.) PKC 2004. LNCS, vol. 2947, pp. 439–454. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  31. Sander, T., Young, A., Yung, M.: Non-interactive cryptocomputing for NC1. In: 40th Annual Symposium on Foundations of Computer Science, FOCS 1999, New York, NY, USA, pp. 554–567 (1999)

    Google Scholar 

  32. Schnorr, C.: Efficient signature generation by smart cards. Journal of Cryptology 4, 161–174 (1991)

    Article  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Information Security Research Centre, IT Faculty, Queensland University of Technology,  

    Kun Peng, Colin Boyd, Ed Dawson & Byoungcheon Lee

  2. Joongbu University, Korea

    Byoungcheon Lee

Authors
  1. Kun Peng
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  2. Colin Boyd
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  3. Ed Dawson
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  4. Byoungcheon Lee
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Editor information

Editors and Affiliations

  1. National Security Research Institute, 305-348, Daejeon, Korea

    Choon-sik Park

  2. National Security Research Institute (NSRI), 161 Gajeong-dong, Yuseong-gu, 305-350, Daejeon, Korea

    Seongtaek Chee

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© 2005 Springer-Verlag Berlin Heidelberg

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Peng, K., Boyd, C., Dawson, E., Lee, B. (2005). An Efficient and Verifiable Solution to the Millionaire Problem. In: Park, Cs., Chee, S. (eds) Information Security and Cryptology – ICISC 2004. ICISC 2004. Lecture Notes in Computer Science, vol 3506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11496618_6

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  • DOI: https://doi.org/10.1007/11496618_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26226-8

  • Online ISBN: 978-3-540-32083-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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