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Journal of Mathematical Cryptology

Managing Editor: Magliveras, Spyros S. / Steinwandt, Rainer / Trung, Tran

Editorial Board: Blackburn, Simon R. / Blundo, Carlo / Burmester, Mike / Cramer, Ronald / Gilman, Robert / Gonzalez Vasco, Maria Isabel / Grosek, Otokar / Helleseth, Tor / Kim, Kwangjo / Koblitz, Neal / Kurosawa, Kaoru / Lauter, Kristin / Lange, Tanja / Menezes, Alfred / Nguyen, Phong Q. / Pieprzyk, Josef / Rötteler, Martin / Safavi-Naini, Rei / Shparlinski, Igor E. / Stinson, Doug / Takagi, Tsuyoshi / Williams, Hugh C. / Yung, Moti


CiteScore 2018: 1.41

SCImago Journal Rank (SJR) 2018: 0.342
Source Normalized Impact per Paper (SNIP) 2018: 1.076

Mathematical Citation Quotient (MCQ) 2018: 0.75

Online
ISSN
1862-2984
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Volume 7, Issue 1

Issues

Self-pairings on hyperelliptic curves

Steven D. Galbraith / Chang-An Zhao
Published Online: 2013-05-14 | DOI: https://doi.org/10.1515/jmc-2012-0009

Abstract.

A self-pairing is a pairing computation where both inputs are the same group element. Self-pairings are used in some cryptographic schemes and protocols. In this paper, we show how to compute the Tate–Lichtenbaum pairing on a curve more efficiently than the general case. The speedup is obtained by using a simpler final exponentiation. We also discuss how to use this pairing in cryptographic applications.

Keywords: Tate pairing; Weil pairing; self-pairing; pairing based cryptography

About the article

Received: 2012-05-09

Revised: 2012-11-15

Accepted: 2013-04-18

Published Online: 2013-05-14

Published in Print: 2013-07-01


Citation Information: Journal of Mathematical Cryptology, Volume 7, Issue 1, Pages 31–42, ISSN (Online) 1862-2984, ISSN (Print) 1862-2976, DOI: https://doi.org/10.1515/jmc-2012-0009.

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Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Binglong Chen and Chang-An Zhao
IEEE Transactions on Computers, 2016, Volume 65, Number 9, Page 2903
[2]
BingLong Chen and Chang-An Zhao
Finite Fields and Their Applications, 2014, Volume 28, Page 79

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