Pairing-Friendly Twisted Hessian Curves-Reference-Cited by-同舟云学术

Pairing-Friendly Twisted Hessian Curves

Published:2018 Issue: Volume: Page:228-247
ISSN:0302-9743
Container-title:Progress in Cryptology – INDOCRYPT 2018
language:
Short-container-title:

Author:

Chuengsatiansup Chitchanok,Martindale Chloe

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-030-05378-9_13

Reference52 articles.

1. Arene, C., Lange, T., Naehrig, M., Ritzenthaler, C.: Faster computation of the Tate pairing. IACR Cryptology ePrint Archive, 2009:155 (2009). http://eprint.iacr.org/2009/155

2. Barbulescu, R., Gaudry, P., Guillevic, A., Morain, F.: Improving NFS for the discrete logarithm problem in non-prime finite fields. In: Eurocrypt 2015 [44], pp. 129–155 (2015)

3. Barbulescu, R., Gaudry, P., Kleinjung, T.: The tower number field sieve. In: Asiacrypt 2015 [28], pp. 31–55 (2015)

4. Barreto, P.S.L.M., Lynn, B., Scott, M.: On the selection of pairing-friendly groups. In: SAC 2003 [42], pp. 17–25 (2003)

5. Barreto, P.S.L.M., Naehrig, M.: Pairing-friendly elliptic curves of prime order. In: SAC 2005 [45], pp. 319–331 (2006). http://cryptosith.org/papers/pfcpo.pdf

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