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- W2164985605 abstract "This article presents a novel pairing algorithm over supersingular genus-2 binary hyperelliptic curves. Starting from Vercauteren’s work on optimal pairings, we describe how to exploit the action of the 23m -th power Verschiebung in order to reduce the loop length of Miller’s algorithm even further than the genus-2 η T approach. As a proof of concept, we detail an optimized software implementation and an FPGA accelerator for computing the proposed optimal Eta pairing on a genus-2 hyperelliptic curve over $mathbb{F}_{2^{367}}$ , which satisfies the recommended security level of 128 bits. These designs achieve favourable performance in comparison with the best known implementations of 128-bit-security Type-1 pairings from the literature." @default.
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- W2164985605 date "2012-01-01" @default.
- W2164985605 modified "2023-09-30" @default.
- W2164985605 title "Optimal Eta Pairing on Supersingular Genus-2 Binary Hyperelliptic Curves" @default.
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- W2164985605 doi "https://doi.org/10.1007/978-3-642-27954-6_7" @default.
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