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Pairing Computation for Elliptic Curves with Embedding Degree 15
Rapport   Open Access

Pairing Computation for Elliptic Curves with Embedding Degree 15

Nadia El Mrabet et Sorina Ionica
17/03/2009

Résumé

Embedding degree Pairing based cryptography Pairing computation Arithmetic Interpolation Elliptic Curves Embedding degree.
This paper presents the first study of pairing computation on curves with embedding degree $15$. We show that pairing computation on these curves has loop length $r^{1/8}$ and we use a twist of degree 3 to perform most of the operations in $\F_p$ or $\F_{p^5}$. Furthermore, we present an original arithmetic for extension fields of degree $5$.

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