On the near prime-order MNT curves

Author:

Le Duc-Phong,Mrabet Nadia El,Haloui Safia,Tan Chik How

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Reference22 articles.

1. Arène, C., Lange, T., Naehrig, M., Ritzenthaler, C.: Faster computation of the Tate pairing. J Number Theory 131(5), 842–857 (2011)

2. Balasubramanian, R., Koblitz, N.: The improbability that an elliptic curve has subexponential discrete log problem under the Menezes-Okamoto-Vanstone Algorithm. J Cryptol 11(2), 141–145 (1998). https://doi.org/10.1007/s001459900040

3. Bernstein, D.J., Birkner, P., Joye, M., Lange, T., Peters, C.: Twisted Edwards curves. In: Proceedings of the Cryptology in Africa 1st International Conference on Progress in Cryptology, AFRICACRYPT’08, pp. 389–405. Springer Berlin (2008). http://portal.acm.org/citation.cfm?id=1788634.1788672

4. Bernstein, D.J., Lange, T.: Faster addition and doubling on elliptic curves. In: Proceedings of the Advances in Crypotology 13th International Conference on Theory and Application of Cryptology and Information Security, ASIACRYPT’07, pp. 29–50. Springer, Berlin (2007). http://portal.acm.org/citation.cfm?id=1781454.1781458

5. Boneh, D., Franklin, M.K.: Identity-based encryption from the Weil pairing. In: CRYPTO ’01: Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology, pp. 213–229. Springer (2001)

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