Paper 2004/375

Efficient Pairing Computation on Supersingular Abelian Varieties

Paulo S. L. M. Barreto, Steven Galbraith, Colm O hEigeartaigh, and Michael Scott

Abstract

We present a general technique for the efficient computation of pairings on supersingular Abelian varieties. This formulation, which we call the eta pairing, generalises results of Duursma and Lee for computing the Tate pairing on supersingular elliptic curves in characteristic three. We then show how our general technique leads to a new algorithm which is about twice as fast as the Duursma-Lee method. These ideas are then used for elliptic and hyperelliptic curves in characteristic 2 with very efficient results. In particular, the hyperelliptic case is faster than all previously known pairing algorithms.

Note: Improved presentation of all algorithms to compute the eta_T pairing.

Metadata
Available format(s)
PDF PS
Category
Public-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
Tate pairingsupersingular curvespairing-based cryptosystemefficient algorithms
Contact author(s)
pbarreto @ larc usp br
History
2005-09-05: last of 5 revisions
2005-01-02: received
See all versions
Short URL
https://ia.cr/2004/375
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2004/375,
      author = {Paulo S.  L.  M.  Barreto and Steven Galbraith and Colm O hEigeartaigh and Michael Scott},
      title = {Efficient Pairing Computation on Supersingular Abelian Varieties},
      howpublished = {Cryptology {ePrint} Archive, Paper 2004/375},
      year = {2004},
      url = {https://eprint.iacr.org/2004/375}
}
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