Solving the Shortest Vector Problem in $2^{0.6039n}$ Time via Mid-Point Hessian

hyperhello•about 1 hour ago

For those who don’t have math extensions in the browser, if that is 2^0.6039, then why don’t math extensions just detect math syntax and style it directly?

tikhonj•about 1 hour ago

I mean, in this case, it's 2^{0.6039n}, and the n is pretty important. I can see why trying to automatically detect cases like this would run into a bunch of wrong behaviors (either styling text that was not meant to be math notation, or parsing the implied math notation incorrectly).

hyperhello•about 1 hour ago

Okay, I had the problem going the other way. I assumed the n was a symbol on the previous number, like an f suffix in C. But even still, 2^(0.6039n) could have been rendered in a nice way stripping out the parenthesis, leaving the core text mathematically correct.

slwvx•about 2 hours ago

I was very happy to see an "AI use disclosure" right on the title page under the abstract.

It's not clear if this is solely a possible theoretical result or if it has any practical value. I.e. is it only useful on lattices that are so large as to not be of use, or could it be used for cryptanalysis? If one is using AI to generate a theory paper such as this, why not use the AI to also generate code that uses it, put it on GitHub, and show the results, say against fplll and the tool in the paper below?

https://ir.cwi.nl/pub/35237/35237.pdf

GracefullyShot•about 2 hours ago

could this be a problem for the security of Falcon (aka FN-DSA) post quantum signature scheme?

mswphd•about 2 hours ago

not really. The hardness of SVP is relevant, but this is a paper giving improved provable bounds for SVP algorithms. heuristically (which people use to choose parameter sizes etc) people assume SVP is much easier to solve, closer to 2^{.29n + o(n)}.

So it's tangentially related, but does not itself imply an improvement on the (heuristically assumed) SOTA for these problems.

pretzellogician•about 2 hours ago

Wow, just yesterday I was thinking this exact problem would be a good candidate for AI. Seems it is!

Solving the Shortest Vector Problem in $2^{0.6039n}$ Time via Mid-Point Hessian

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