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- W2895777131 abstract "We apply Scholten’s construction to give explicit isogenies between the Weil restriction of supersingular Montgomery curves with full rational 2-torsion over (mathbb {F}_{p^2}) and corresponding abelian surfaces over (mathbb {F}_{p}). Subsequently, we show that isogeny-based public key cryptography can exploit the fast Kummer surface arithmetic that arises from the theory of theta functions. In particular, we show that chains of 2-isogenies between elliptic curves can instead be computed as chains of Richelot (2, 2)-isogenies between Kummer surfaces. This gives rise to new possibilities for efficient supersingular isogeny-based cryptography." @default.
- W2895777131 created "2018-10-12" @default.
- W2895777131 creator A5012881701 @default.
- W2895777131 date "2018-01-01" @default.
- W2895777131 modified "2023-09-26" @default.
- W2895777131 title "Computing Supersingular Isogenies on Kummer Surfaces" @default.
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- W2895777131 doi "https://doi.org/10.1007/978-3-030-03332-3_16" @default.
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