Elliptic curves suitable for pairing based cryptography

Friederike Brezing; Annegret Weng

Paper 2003/143

Elliptic curves suitable for pairing based cryptography

Friederike Brezing and Annegret Weng

Abstract

We give a method for constructing ordinary elliptic curves over finite prime field $\mathbb{F}_p$ with small security parameter $k$ with respect to a prime $\ell$ dividing the group order $\#E(\mathbb{F}_p)$ such that $p<<\ell^2$.

Metadata

Available format(s): PDF PS
Category: Public-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: elliptic curve cryptosystems
Contact author(s): weng @ exp-math uni-essen de
History: 2003-08-05: revised; 2003-07-24: received; See all versions
Short URL: https://ia.cr/2003/143
License: CC BY

BibTeX

@misc{cryptoeprint:2003/143,
      author = {Friederike Brezing and Annegret Weng},
      title = {Elliptic curves suitable for pairing based cryptography},
      howpublished = {Cryptology {ePrint} Archive, Paper 2003/143},
      year = {2003},
      url = {https://eprint.iacr.org/2003/143}
}