I-D Action: draft-kato-optimal-ate-pairings-00.txt
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Subject: I-D Action: draft-kato-optimal-ate-pairings-00.txt
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A New Internet-Draft is available from the on-line Internet-Drafts directories. Title : Optimal Ate Pairing Authors : Akihiro Kato Michael Scott Tetsutaro Kobayashi Yuto Kawahara Filename : draft-kato-optimal-ate-pairings-00.txt Pages : 17 Date : 2015-07-06 Abstract: Pairing is a special map from two elliptic curve that called Pairing- friend curves to a finite field and is useful mathematical tools for constructing cryptographic primitives. It allows us to construct powerful primitives. (e.g. [3] and [4]) There are some types of pairing and its choice has an impact on the performance of the primitive. For example, Tate Pairing [3] and Ate Pairing [4] are specified in IETF. This memo focuses on Optimal Ate Pairing [2] which is an improvement of Ate Pairing. This memo defines Optimal Ate Pairing for any pairing-friendly curve. We can obtain concrete algorithm by deciding parameters and building blocks based on the form of a curve and the description in this memo. It enables us to reduce the cost for specifying Optimal Ate Pairing over additional curves. Furthermore, this memo provides concrete algorithm for Optimal Ate Pairing over BN-curves [7] and its test vectors. The IETF datatracker status page for this draft is: https://datatracker.ietf.org/doc/draft-kato-optimal-ate-pairings/ There's also a htmlized version available at: https://tools.ietf.org/html/draft-kato-optimal-ate-pairings-00 Please note that it may take a couple of minutes from the time of submission until the htmlized version and diff are available at tools.ietf.org. Internet-Drafts are also available by anonymous FTP at: ftp://ftp.ietf.org/internet-drafts/
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