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Scalar Multiplication on Pairing Friendly Elliptic Curves
Naoki KANAYAMA Tadanori TERUYA Eiji OKAMOTO
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2011/06/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
scalar multiplication, Atei pairing, optimal pairing, endomorphism,
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In the present paper, we propose elliptic curve scalar multiplication methods on pairing-friendly elliptic curves. The proposed method is efficient on elliptic curves on which Atei pairing or optimal pairing is efficiently computed.