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    Abstract:

    Distributed multiplication computation is an important part of secure multi-party computation and a basic protocol of threshold cryptography. Based on the verifiable secret sharing techniques, two robust distributed multiple multiplication schemes over integer are presented. One of them, the parallelizable non-interactive scheme is more efficient, and remains the property of non-interaction. The other can achieve the optimal resilience.

    Reference
    [1] Desmedt, Y.G., Frankel, Y. Threshold cryptosystems. In: Brassard, G., ed. Advances in Cryptology-CRYPTO'89. Volume 435 of LNCS, Berlin: Springer-Verlag, 1990. 307~315.
    [2] Gennaro, R., Rabin, M., Rabin, T. Simplified VSS and fast-track multiparty computations with applications to threshold cryptography. In: Proceedings of the 17th ACM Symposium on Principles of Distributed Computing. New York: ACM Press, 1998. 101~111.
    [3] Masayuki, Abe. Robust distributed multiplication without interaction. In: Wiener, M., ed. Advances in Cryptology-CRYPTO'99. Volume 1666 of LNCS, Berlin: Springer-Verlag, 2000. 130~147.
    [4] Pedersen, T.P. Non-Interactive and information-theoretic secure verifiable secret sharing. In: Feigenbaum, J., ed. Advances in Cryptology-CRYPTO'91. Volume 576 of LNCS, Berlin: Springer-Verlag, 1992. 129~140.
    [5] Frankel, Y., Yung, M. Adaptively-Secure distributed public key systems. In: Proceedings of the ESA'99. Volume 1643 of LNCS, Berlin: Springer-Verlag, 1999. 4~27.
    [6] Herzberg, A., Jarecki, S., H., et al. Proactive secret sharing or: how to cope with perpetual leakage. In: Coppersmith, D., ed. Advances in Cryptology-CRYPTO'95. Volume 963 of LNCS, Berlin: Springer-Verlag, 1995. 339~352.
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王宏,冯登国,肖国镇.整数上鲁棒分布式乘法计算方案.软件学报,2002,13(8):1412-1416

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History
  • Received:March 13,2001
  • Revised:July 05,2001
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