Pairing Lattices

Florian Hess

Paper 2008/125 Original: eprint.iacr.org/2008/125 ↗

Pairing Lattices

Florian Hess

Abstract

We provide a convenient mathematical framework that essentially encompasses all known pairing functions based on the Tate pairing. We prove non-degeneracy and bounds on the lowest possible degree of these pairing functions and show how efficient endomorphisms can be used to achieve a further degree reduction.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Preprint.
History: 2008-07-11: last updated; 2008-03-23: published
Short URL: https://ia.cr/2008/125
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/125,
      author = {Florian Hess},
      title = {Pairing Lattices},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/125},
      year = {2008},
      url = {https://eprint.iacr.org/2008/125}
}