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- W4323921570 abstract "We present an attack on SIDH utilising isogenies between polarized products of two supersingular elliptic curves. In the case of arbitrary starting curve, our attack (discovered independently from [8]) has subexponential complexity, thus significantly reducing the security of SIDH and SIKE. When the endomorphism ring of the starting curve is known, our attack (here derived from [8]) has polynomial-time complexity assuming the generalised Riemann hypothesis. Our attack applies to any isogeny-based cryptosystem that publishes the images of points under the secret isogeny, for example Séta [13] and B-SIDH [11]. It does not apply to CSIDH [9], CSI-FiSh [3], or SQISign [14]." @default.
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- W4323921570 date "2023-01-01" @default.
- W4323921570 modified "2023-10-06" @default.
- W4323921570 title "A Direct Key Recovery Attack on SIDH" @default.
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- W4323921570 doi "https://doi.org/10.1007/978-3-031-30589-4_16" @default.
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