## CryptoDB

### Paper: Hardware Implementation of the $\eta_T$ Pairing in Characteristic 3

Authors: Robert Ronan Colm o hEigeartaigh Colin Murphy Tim Kerins Paulo S. L. M. Barreto URL: http://eprint.iacr.org/2006/371 Search ePrint Search Google Recently, there have been many proposals for secure and novel cryptographic protocols that are built on bilinear pairings. The $\eta_T$ pairing is one such pairing and is closely related to the Tate pairing. In this paper we consider the efficient hardware implementation of this pairing in characteristic 3. All characteristic 3 operations required to compute the pairing are outlined in detail. An efficient, flexible and reconfigurable processor for the $\eta_T$ pairing in characteristic 3 is presented and discussed. The processor can easily be tailored for a low area implementation, for a high throughput implementation, or for a balance between the two. Results are provided for various configurations of the processor when implemented over the field $\mathbb{F}_{3^{97}}$ on an FPGA. As far as we are aware, the processor returns the first characteristic 3 $\eta_T$ pairing in hardware that includes a final exponentiation to a unique value.
##### BibTeX
@misc{eprint-2006-21862,
title={Hardware Implementation of the $\eta_T$ Pairing in Characteristic 3},
booktitle={IACR Eprint archive},
keywords={implementation / $\eta_T$ pairing, characteristic 3, elliptic curve, reconfigurable processor, FPGA},
url={http://eprint.iacr.org/2006/371},
note={ robertcronan@gmail.com 13448 received 27 Oct 2006},
author={Robert Ronan and Colm o hEigeartaigh and Colin Murphy and Tim Kerins and Paulo S. L. M. Barreto},
year=2006
}