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Title:
A study of pairing computation for elliptic curves with embedding degree 15
Authors: Nadia El Mrabet, Nicolas Guillermin, Sorina Ionica
Abstract:This paper presents the first study of pairing computation on curves with embedding degree 15. We compute the Ate and the twisted Ate pairing for a family of curves with parameter \rho~1.5 and embedding degree 15. We use a twist of degree 3 to perform most of the operations in \F_p or \F_{p^5}. Furthermore, we present a new arithmetic for extension fields of degree 5. Our computations show that these curves give very efficient implementations for pairing-based cryptography at high security levels.
ePrint: https://eprint.iacr.org/2009/370
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