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Affine Pairings on ARM

  • Tolga Acar
  • Kristin Lauter
  • Michael Naehrig
  • Daniel Shumow
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7708)

Abstract

We report on relative performance numbers for affine and projective pairings on a dual-core Cortex A9 ARM processor. Using a fast inversion in the base field and doing inversion in extension fields by using the norm map to reduce to inversions in smaller fields, we find a very low ratio of inversion-to-multiplication costs. In our implementation, this favors using affine coordinates, even for the current 128-bit minimum security level specified by NIST. We use Barreto-Naehrig (BN) curves and report on the performance of an optimal ate pairing for curves covering security levels between 128 and 192 bits. We compare with other reported performance numbers for pairing computation on ARM CPUs.

Keywords

Optimal ate pairing BN curves ARM architecture 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Tolga Acar
    • 1
  • Kristin Lauter
    • 1
  • Michael Naehrig
    • 1
    • 2
  • Daniel Shumow
    • 1
  1. 1.Microsoft ResearchRedmondUSA
  2. 2.Department of Mathematics and Computer ScienceTechnische Universiteit EindhovenEindhovenNetherlands

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