Abstract
We propose a Reed-Solomon (RS) code construction of the 1-out-n (ring) signature scheme. It is obtained from the observation of the equivalency between the erasure correction technique of the RS code and the polynomial interpolation. The structure is very simple and yields a ring equation that can appropriately denoted by Z 1 + ... + Z n =v, which represents the summation of n evaluations of a polynomial. We also show how to extend the generic RST scheme [6] to a t-out-n threshold ring signature scheme.
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Abe, M., Ohkubo, M., Suzuki, K.: 1-out-of-n signatures from a variety of keys. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 415–432. Springer, Heidelberg (2002)
Bellare, M., Rogaway, P.: Random oracles are practical: A paradigm for designing efficient protocols. In: Proc. 1st ACM Conference on Computer and Communications Security, pp. 62–73. ACM Press, New York (1993)
Bresson, E., Stern, J., Szydlo, M.: Threshold ring signatures for ad-hoc groups. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 465–480. Springer, Heidelberg (2002)
Cramer, R., Damgård, I., Schoenmakers, B.: Proofs 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)
Reed, I.S., Solomon, G.: Polynomial codes over certain finite fields. SIAM J. Applied Math. 8, 300–304 (1960)
Rivest, R.L., Shamir, A., Tauman, Y.: How to leak a secret. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 552–565. Springer, Heidelberg (2001)
Wei, V.K.: Modulation, Coding and Cryptography: Theory, Algorithms and Source programs. Draft (1998)
Zhang, F., Kim, K.: ID-Based blind signature and ring signature from pairings. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 533–547. Springer, Heidelberg (2002)
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Wong, D.S., Fung, K., Liu, J.K., Wei, V.K. (2003). On the RS-Code Construction of Ring Signature Schemes and a Threshold Setting of RST. In: Qing, S., Gollmann, D., Zhou, J. (eds) Information and Communications Security. ICICS 2003. Lecture Notes in Computer Science, vol 2836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39927-8_4
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DOI: https://doi.org/10.1007/978-3-540-39927-8_4
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