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Reports Year : 2009

## Pairing Computation for Elliptic Curves with Embedding Degree 15

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Sorina Ionica

#### Abstract

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 $5$.

### Dates and versions

lirmm-00380549 , version 1 (02-05-2009)

### Identifiers

• HAL Id : lirmm-00380549 , version 1

### Cite

Nadia El Mrabet, Sorina Ionica. Pairing Computation for Elliptic Curves with Embedding Degree 15. RR-09012, 2009, pp.14. ⟨lirmm-00380549⟩

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