Pairings on Generalized Huff Curves

Abdoul Aziz Ciss; Djiby Sow

Paper 2012/632

Pairings on Generalized Huff Curves

Abdoul Aziz Ciss and Djiby Sow

Abstract

This paper presents the Tate pairing computation on generalized Huff curves proposed by Wu and Feng in \cite{Wu}. In fact, we extend the results of the Tate pairing computation on the standard Huff elliptic curves done previously by Joye, Tibouchi and Vergnaud in \cite{Joux}. We show that the addition step of the Miller loop can be performed in $1\mathbf{M}+(k+15)\mathbf{m}+2\mathbf{c}$ and the doubling one in $1\mathbf{M} + 1\mathbf{S} + (k + 12) \mathbf{m} + 5\mathbf{s} + 2\mathbf{c}$ on the generalized Huff curve.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Published elsewhere. Unknown where it was published
Keywords: Tate pairing elliptic curves Huff curves Miller algorithm
Contact author(s): abdoul ciss @ ucad edu sn
History: 2012-11-11: received
Short URL: https://ia.cr/2012/632
License: CC BY

BibTeX

@misc{cryptoeprint:2012/632,
      author = {Abdoul Aziz Ciss and Djiby Sow},
      title = {Pairings on Generalized Huff Curves},
      howpublished = {Cryptology {ePrint} Archive, Paper 2012/632},
      year = {2012},
      url = {https://eprint.iacr.org/2012/632}
}