Abstract
In a range test, one party holds a ciphertext and needs to test whether the message encrypted in the ciphertext is within a certain interval range. In this paper, a range test protocol is proposed, where the party holding the ciphertext asks another party holding the private key of the encryption algorithm to help him. These two parties run the protocol to implement the test. The test returns TRUE if and only if the encrypted message is within the certain interval range. If the two parties do not conspire, no information about the encrypted message is revealed from the test except what can be deduced from the test result. Advantages of the new protocol over the existing related techniques are that it achieves correctness, soundness, flexibility, high efficiency and privacy simultaneously.
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References
Bao, F.: An efficient verifiable encryption scheme for encryption of discrete logarithms. In: Schneier, B., Quisquater, J.-J. (eds.) CARDIS 1998. LNCS, vol. 1820, pp. 213–220. Springer, Heidelberg (2000)
Boudot, F.: Efficient proofs that a committed number lies in an interval. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 431–444. Springer, Heidelberg (2000)
Camenisch, J.L., Michels, M.: Separability and efficiency for generic group signature. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 413–430. Springer, Heidelberg (1999)
Chan, A., Frankel, Y., Tsiounis, Y.: Easy come - easy go divisible cash (1998), Available as: http://www.ccs.neu.edu/home/yiannis/
Cramer, R., Damgård, I.B., Schoenmakers, B.: Proof of partial knowledge and simplified design of witness hiding protocols. In: Desmedt, Y.G. (ed.) CRYPTO 1994. LNCS, vol. 839, pp. 174–187. Springer, Heidelberg (1994)
Lee, B., Kim, K.: Receipt-free electronic voting scheme with a tamper-resistant randomizer. In: Lee, P.J., Lim, C.H. (eds.) ICISC 2002. LNCS, vol. 2587, pp. 389–406. Springer, Heidelberg (2003)
Mao, W.: Guaranteed correct sharing of integer factorization with off-line shareholders. In: Imai, H., Zheng, Y. (eds.) PKC 1998. LNCS, vol. 1431, pp. 27–42. Springer, Heidelberg (1998)
Omote, K., Miyaji, A.: A second-price sealed-bid auction with the discriminant of the p-th root. In: Blaze, M. (ed.) FC 2002. LNCS, vol. 2357, pp. 57–71. Springer, Heidelberg (2003)
Paillier, P.: Public-key cryptosystems based on composite degree residuosity classes. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 223–238. Springer, Heidelberg (1999)
Peng, K., Boyd, C., Dawson, E., Lee, B.: An efficient and verifiable solution to the millionaire problem. In: Park, C.-s., Chee, S. (eds.) ICISC 2004. LNCS, vol. 3506, pp. 51–66. Springer, Heidelberg (2005)
Peng, K., Aditya, R., Boyd, C., Dawson, E., Lee, B.: Multiplicative homomorphic E-voting. In: Canteaut, A., Viswanathan, K. (eds.) INDOCRYPT 2004. LNCS, vol. 3348, pp. 61–72. Springer, Heidelberg (2004)
Peng, K., Boyd, C., Dawson, Ed., Lee, B.: Ciphertext comparison, a new solution to the millionaire problem. In: Qing, S., Mao, W., López, J., Wang, G. (eds.) ICICS 2005. LNCS, vol. 3783, pp. 84–96. Springer, Heidelberg (2005)
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Peng, K., Boyd, C., Dawson, E., Okamoto, E. (2006). A Novel Range Test. In: Batten, L.M., Safavi-Naini, R. (eds) Information Security and Privacy. ACISP 2006. Lecture Notes in Computer Science, vol 4058. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11780656_21
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DOI: https://doi.org/10.1007/11780656_21
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