International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: A Dedicated Processor for the eta Pairing

Robert Ronan
Colm O hEigeartaigh
Colin Murphy
Michael Scott
Tim Kerins
W.P. Marnane
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Abstract: The $\eta$ pairing is an efficient computation technique based on a generalization of the Duursma Lee method for calculating the Tate pairing. The pairing can be computed very efficiently on genus 2 hyperelliptic curves. In this paper it is demonstrated that this pairing operation is well suited to a dedicated parallel hardware implementation. An $\eta$ pairing processor is described in detail and the architectures required for such a system are discussed. Prototype implementation results are presented over a base field of $\mathbb{F}_{2^{103}}$ and the advantages of implementing the pairing on the dedicated processor are discussed.
  title={A Dedicated Processor for the eta Pairing},
  booktitle={IACR Eprint archive},
  keywords={implementation / pairing-based cryptosystem, $\eta$ pairing, genus 2 hyperelliptic, characteristic 2, dedicated processor},
  note={ 13046 received 20 Sep 2005},
  author={Robert Ronan and Colm O hEigeartaigh and Colin Murphy and Michael Scott and Tim Kerins and W.P. Marnane},