Coron, Jean-Sébastien ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC)
Icart, Thomas
Madore, David
Randriam, Hugues
Tibouchi, Mehdi
Language :
English
Title :
Efficient Indifferentiable Hashing into Ordinary Elliptic Curves
Baek, J., Zheng, Y.: Identity-based threshold decryption. In: Bao, F., Deng, R., Zhou, J. (eds.) PKC 2004. LNCS, vol. 2947, pp. 262-276. Springer, Heidelberg (2004)
Bellare, M., Rogaway, P.: Random oracles are practical: A paradigm for designing efficient protocols. In: ACM Conference on Computer and Communications Security, pp. 62-73 (1993)
Boldyreva, A.: Threshold signatures, multisignatures and blind signatures based on the gap-diffie-hellman-group signature scheme. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 31-46. Springer, Heidelberg (2002)
Boneh, D., Franklin, M.K.: Identity-based encryption from the weil pairing. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 213-229. Springer, Heidelberg (2001)
Boneh, D., Gentry, C., Lynn, B., Shacham, H.: Aggregate and verifiably encrypted signatures from bilinear maps. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 416-432. Springer, Heidelberg (2003)
Boneh, D., Lynn, B., Shacham, H.: Short signatures from the weil pairing. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 514-532. Springer, Heidelberg (2001) (Pubitemid 33371204)
Boyd, C., Montague, P., Nguyen, K.Q.: Elliptic curve based password authenticated key exchange protocols. In: Varadharajan, V., Mu, Y. (eds.) ACISP 2001. LNCS, vol. 2119, pp. 487-501. Springer, Heidelberg (2001)
Boyen, X.: Multipurpose identity-based signcryption (a swiss army knife for identity-based cryptography). In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 383-399. Springer, Heidelberg (2003)
Boyko, V., MacKenzie, P.D., Patel, S.: Provably secure password-authenticated key exchange using diffie-hellman. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 156-171. Springer, Heidelberg (2000)
Brier, E., Coron, J.-S., Icart, T., Madore, D., Randriam, H., Tibouchi, M.: Efficient indifferentiable hashing into ordinary elliptic curves. Cryptology ePrint Archive, Report 2009/340 (2009) (full version of this paper), http://eprint.iacr.org/
Canetti, R., Goldreich, O., Halevi, S.: The random oracle methodology, revisited. J. ACM 51(4), 557-594 (2004)
Cha, J.C., Cheon, J.H.: An identity-based signature from gap diffie-hellman groups. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 18-30. Springer, Heidelberg (2002)
Chevallier-Mames, B.: An efficient cdh-based signature scheme with a tight security reduction. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 511-526. Springer, Heidelberg (2005)
Coron, J.-S., Dodis, Y., Malinaud, C., Puniya, P.: Merkle-damgård revisited: How to construct a hash function. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 430-448. Springer, Heidelberg (2005)
Farashahi, R.R., Shparlinski, I.E., Voloch, J.F.: On hashing into elliptic curves (2010) (preprint), http://www.ma.utexas.edu/users/voloch/ preprint.html
Fouque, P.-A., Tibouchi, M.: Estimating the size of the image of deterministic hash functions to elliptic curves. Cryptology ePrint Archive, Report 2010/037 (2010), http://eprint.iacr.org/
Libert, B., Quisquater, J.-J.: Efficient signcryption with key privacy from gap diffie-hellman groups. In: Bao, F., Deng, R., Zhou, J. (eds.) PKC 2004. LNCS, vol. 2947, pp. 187-200. Springer, Heidelberg (2004)
Maurer, U.M., Renner, R., Holenstein, C.: Indifferentiability, impossibility results on reductions, and applications to the random oracle methodology. In: Naor, M. (ed.) TCC 2004. LNCS, vol. 2951, pp. 21-39. Springer, Heidelberg (2004)
Menezes, A., Okamoto, T., Vanstone, S.A.: Reducing elliptic curve logarithms to logarithms in a finite field. IEEE Transactions on Information Theory 39(5), 1639-1646 (1993)
Mestre, J.-F.: Rang de courbe elliptiques d'invariant donné. Comptes rendus de l'Académie des sciences. Série 1, Mathématique 314(12), 297-319 (1992)
Shallue, A., van de Woestijne, C.E.: Construction of rational points on elliptic curves over finite fields. In: Hess, F., Pauli, S., Pohst, M. (eds.) ANTS 2006. LNCS, vol. 4076, pp. 510-524. Springer, Heidelberg (2006)
Ulas, M.: Rational points on certain hyperelliptic curves over finite fields. Bull. Polish Acad. Sci. Math. 55(2), 97-104 (2007)
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)
