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 $F_{p}$ with small security parameter $k$ with respect to a prime $ℓ$ dividing the group order $# E (F_{p})$ such that $p << ℓ^{2}$ .

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}
}