English

More constructing pairing-friendly elliptic curves for cryptography

Number Theory 2007-11-14 v1

Abstract

The problem of constructing elliptic curves suitable for pairing applications has received a lot of attention. To solve this, we propose a variant algorithm of a known method by Brezing and Weng. We produce new families of parameters using our algorithm for pairing-friendly elliptic curves of embedding degree 8, and we actually compute some explicit curves as numerical examples.

Keywords

Cite

@article{arxiv.0711.1942,
  title  = {More constructing pairing-friendly elliptic curves for cryptography},
  author = {Tanaka Satoru and Nakamula Ken},
  journal= {arXiv preprint arXiv:0711.1942},
  year   = {2007}
}
R2 v1 2026-06-21T09:42:51.201Z