<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Scott, Michael</style></author><author><style face="normal" font="default" size="100%">BARRETO, Paulo S. L. M.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Generating More MNT Elliptic Curves</style></title><secondary-title><style face="normal" font="default" size="100%">Designs, Codes and Cryptography</style></secondary-title><short-title><style face="normal" font="default" size="100%">Des Codes Crypt</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">February, 2006 </style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.springerlink.com/content/f0xx303x8664u3n8/</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">Volume 38, number 2</style></volume><pages><style face="normal" font="default" size="100%">209 - 217</style></pages><isbn><style face="normal" font="default" size="100%">1573-7586 </style></isbn><abstract><style face="normal" font="default" size="100%">&lt;p&gt;&lt;span class=&quot;AbstractHeading&quot;&gt;Abstract&amp;nbsp;&amp;nbsp;&lt;/span&gt;In their seminal paper, Miyaji et al. [13] describe a simple method for the creation of elliptic curves of prime order with embedding degree 3, 4, or 6. Such curves are important for the realisation of pairing-based cryptosystems on ordinary (non-supersingular) elliptic curves. We provide an alternative derivation of their results, and extend them to allow for the generation of many more suitable curves.&lt;/p&gt;</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><orig-pub><style face="normal" font="default" size="100%">Springer Netherlands</style></orig-pub></record></records></xml>