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Endomorphisms via splittings (Sabrina Kunzweiler, Min-Yi Shen) ia.cr/2026/215
Abstract. One of the fundamental hardness assumptions underlying isogeny-based cryptography is the problem of finding a non-trivial endomorphism of a given supersingular elliptic curve. We show that this problem is related to the problem of finding a good splitting of a principally polarized superspecial abelian surface. We provide formal security reductions, as well as a proof-of-concept implementation of an algorithm to compute endomorphisms of elliptic curves by solving the splitting problem.
February 11, 2026 at 4:51 PM
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February 11, 2026 at 7:57 AM
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February 11, 2026 at 7:47 AM
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