Optimised Versions of the Ate and Twisted Ate Pairings

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• 作者：Seiichi Matsuda ; Naoki Kanayama ; Florian Hess ; Eiji Okamoto
• 刊名：Lecture Notes in Computer Science
• 出版年：2007
• 出版时间：2007
• 年：2007
• 卷：4887
• 期：1
• 页码：302-312
• 全文大小：434.3 KB

文摘

We observe a natural generalisation of the ate and twisted ate pairings, which allow for performance improvements in non standard applications of pairings to cryptography like composite group orders. We also give a performance comparison of our pairings and the Tate, ate and twisted ate pairings for certain polynomial families based on operation count estimations and on an implementation, showing that our pairings can achieve a speedup of a factor of up to two over the other pairings.