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- W4297918343 abstract "We present an accelerated Schoof-type point-counting algorithm for curves of genus 2 equipped with an efficiently computable real multiplication endomorphism. Our new algorithm reduces the complexity of genus 2 point counting over a finite field (F_{q}) of large characteristic from (widetilde{O}(log^8 q)) to (widetilde{O}(log^5 q)). Using our algorithm we compute a 256-bit prime-order Jacobian, suitable for cryptographic applications, and also the order of a 1024-bit Jacobian." @default.
- W4297918343 created "2022-10-01" @default.
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- W4297918343 date "2011-06-03" @default.
- W4297918343 modified "2023-09-27" @default.
- W4297918343 title "Counting Points on Genus 2 Curves with Real Multiplication" @default.
- W4297918343 doi "https://doi.org/10.48550/arxiv.1106.0661" @default.
- W4297918343 hasPublicationYear "2011" @default.
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