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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
Creative Commons Attribution
CC BY
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