Paper 2010/342

Fixed Argument Pairings

Craig Costello and Douglas Stebila

Abstract

A common scenario in many pairing-based cryptographic protocols is that one argument in the pairing is fixed as a long term secret key or a constant parameter in the system. In these situations, the runtime of Miller’s algorithm can be significantly reduced by storing precomputed values that depend on the fixed argument, prior to the input or existence of the second argument. In light of recent developments in pairing computation, we show that the computation of the Miller loop can be sped up by up to 37% if precomputation is employed, with our method being up to 19.5% faster than the previous precomputation techniques.

Metadata
Available format(s)
PDF
Publication info
Published elsewhere. Unknown where it was published
Keywords
PairingsMiller’s algorithmTate pairingate pairingprecomputation.
Contact author(s)
craig costello @ qut edu au
History
2010-06-18: received
Short URL
https://ia.cr/2010/342
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2010/342,
      author = {Craig Costello and Douglas Stebila},
      title = {Fixed Argument Pairings},
      howpublished = {Cryptology ePrint Archive, Paper 2010/342},
      year = {2010},
      note = {\url{https://eprint.iacr.org/2010/342}},
      url = {https://eprint.iacr.org/2010/342}
}
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