All Pairings Are in a Group

Chang-An ZHAO; Fangguo ZHANG; Jiwu HUANG

doi:10.1093/ietfec/e91-a.10.3084

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Regular Section

All Pairings Are in a Group

Chang-An ZHAO, Fangguo ZHANG, Jiwu HUANG

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Keywords: pairing-based cryptosystems, R-ate pairing, Ate pairing, elliptic curves, group

JOURNAL RESTRICTED ACCESS

2008 Volume E91.A Issue 10 Pages 3084-3087

DOI https://doi.org/10.1093/ietfec/e91-a.10.3084

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Abstract

In this paper, we suggest that all pairings are in a group from an abstract angle. Based on the results, some new pairings with the short Miller loop are constructed for great efficiency. It is possible that our observation can be applied into other aspects of pairing-based cryptosystems.

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