You probably don't need an isogeny-based hash function, but if you want one: https://twitter.com/MathPaper/status/1107503250532556801 …
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Also lel I get to learn about 'superspecial' curvespic.twitter.com/1R0G9PGmNB
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yeah apparently genus-2 isogeny crypto is a trend now, 2 papers makes it a trend https://eprint.iacr.org/2019/177.pdf pic.twitter.com/YGOkrG0j5J
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I'm pretty sure these isogeny hash functions have always been application exercises, rather than actual 'hey you should use this instead of classically-structured hash functions'; it's easier than doing the new math _and_ fleshing out a whole new protocol on top in one paper.
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Replying to @durumcrustulum
There's some bad precendence in "We can build X out of Y, it has no advantages and is slow, but hey, we can so let's do it!" Thinking about "random number generators based on elliptic curves"....
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Replying to @hanno
It's more like 'we can build something small, self-contained and secure with this new math problem', rather than 'it should be used for {xyz} applications. Otherwise the actual new thing, the new math, would be blocked getting published by building a new protocol w/ it.
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Replying to @durumcrustulum @hanno
Also 'we can do it, so we did' is basically pure research in a nutshell. This is distinct from doing that and shipping it as a spec/standard/production software.
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Replying to @durumcrustulum @hanno
I went to an Andrew Wiles public lecture in the 90s and someone asked "Are Elliptic Curves useful for anything?" and his answer was "Not really, more of an intellectual interest really, some people think they might have applications in cryptography, it's not promising".
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Replying to @colmmacc @durumcrustulum
Was this before or after his famous proof? AFAIR elliptic curves were involved in his proof. but then you could ask if the proof has any application or is just of intellectual interest as well.
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It was after his proof, It was his victory lap tour. Not just involved, his proof was all about Elliptic Curves, to prove Fermat's last theorem, he proved the modularity theorem for Elliptic Curves.
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