Hardware

Efficient Non Symmetric Pairing Groups on Ordinary Pairing Friendly Curve of Embedding Degree 1

Download Now Free registration required

Executive Summary

Recently, ordinary pairing - friendly elliptic curves whose embedding degree is 1 have been often focused on, for example some composite order pairing - based cryptographies do. In the case of non - symmetric pairings whose embedding degree is larger than 2, recent efficient pairing techniques such as R - ate and Xate pairings adopt a certain special rational point group with an efficient isomorphic mapping and then accelerate pairing - related operations such as a pairing calculation and a scalar multiplication. Based on cubic, quartic, and sextic twists, this paper shows how to activate these efficient techniques together with point compression on pairing - friendly curves of embedding degree 1.

  • Format: PDF
  • Size: 154.7 KB