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Update are-elliptic-curves-going-to-survive-the-quantum-apocalypse.md
Theta function statement is wrong, hence removing it
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authors: ["Miha Stopar"]
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title: "Are elliptic curves going to survive the quantum apocalypse?"
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image: "/articles/are-elliptic-curves-going-to-survive-the-quantum-apocalypse/cover.webp"
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tldr: "Quantum computers will shatter today’s elliptic-curve schemes (and the pairing magic built on them), but curves aren’t dead: isogeny-based constructions—and their higher-dimensional, theta-function cousins—could keep elliptic-style crypto alive and even pave the way for stronger multilinear tools in a post-quantum world."
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tldr: "Quantum computers will shatter today’s elliptic-curve schemes (and the pairing magic built on them), but curves aren’t dead: isogeny-based constructions could keep elliptic-style crypto alive and even pave the way for stronger multilinear tools in a post-quantum world."
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date: "2025-05-20"
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@@ -113,4 +113,4 @@ Trilinear maps are strictly more powerful than bilinear maps because they genera
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While abelian varieties offer a tantalizing prospect for realizing trilinear maps, the truth is—we’re not there yet. No known construction of trilinear maps is practical today, whether based on abelian varieties or any other mathematical structure. Still, the outlook is far from bleak.
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Abelian varieties, and the isogeny-based cryptography they enable, present a promising foundation for quantum-resistant cryptographic protocols. They carry forward the essential magic of elliptic curves—not merely as a relic of the past, but as a richer, higher-dimensional generalization.
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Abelian varieties, and the isogeny-based cryptography they enable, present a promising foundation for quantum-resistant cryptographic protocols. They carry forward the essential magic of elliptic curves—not merely as a relic of the past, but as a richer, higher-dimensional generalization.
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