Paper 2006/005 Original: eprint.iacr.org/2006/005 ↗

Pairing Calculation on Supersingular Genus 2 Curves

Colm O hEigeartaigh
Michael Scott
Abstract

In this paper we describe how to efficiently implement pairing calculation on supersingular genus~2 curves over prime fields. We find that pairing calculation on supersingular genus~2 curves over prime fields is efficient and a viable candidate for practical implementation. We also show how to eliminate divisions in an efficient manner when computing the Tate pairing, and how this algorithm is useful for curves of genus greater than one.

Metadata
Available format(s)
PDF
Category
Implementation
Publication info
Preprint.
History
2006-05-24: last updated
2006-01-04: published
Short URL
https://ia.cr/2006/005
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2006/005,
      author = {Colm O hEigeartaigh and Michael Scott},
      title = {Pairing Calculation on Supersingular Genus 2 Curves},
      howpublished = {Cryptology {ePrint} Archive, Paper 2006/005},
      year = {2006},
      url = {https://eprint.iacr.org/2006/005}
}
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