@misc{cryptoeprint:2007:013, author = {Seiichi Matsuda and Naoki Kanayama and Florian Hess and Eiji Okamoto}, title = {Optimised versions of the Ate and Twisted Ate Pairings}, howpublished = {Cryptology ePrint Archive, Report 2007/013}, year = {2007}, url = {http://eprint.iacr.org/2007/013}, }