Abstract:In pairing-based cryptography, the computation of asymmetric pairings e ∶ 1 × 2 ⟶ T requires input points of prime order r. The process of getting those r-torsion point is known as hashing into 1 or 2 and is in general costly. Few recent works have considered the Scott et al.'s method and Fuentes et al.'s method for hashing on specific families of pairingfriendly curves. In this work, we apply those two methods on the recently discovered Scott-Guillevic Aurifeuillean curves with embedding degree k = 6, 9, 15, … Show more
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