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TitleConstructing pairing-friendly elliptic curves using Gr\"obner basis reduction.
Author(s) Wittkopf Allan D., S. D. Galbraith
TypeBook, Chapter in Book, Conference Proceeding
AbstractThe problem of constructing elliptic curves suitable for pairing applications has received a lot of attention. One of the most general methods to solve this problem is due to Scott. We propose a variant of this method which replaces an exhaustive search with a Gröbner basis calculation. This makes the method potentially able to generate a larger set of families of parameters. We present some new families of parameters for pairing-friendly elliptic curves.
KeywordsPairing-friendly elliptic curves, Gröbner bases
ISBN978-3-540-77271-2/pbk
URL http://link.springer.com/chapter/10.1007%2F978-3-540-77272-9_20
LanguageEnglish
Pages336--345
PublisherBerlin: Springer
Year2007
Edition0
Translation No
Refereed No
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