Forging 1024-bit RSA signatures in nearly SNFS time [pdf]

iint0x29 about 7 hours ago 5 commentsRead Article on eprint.iacr.org

https://arstechnica.com/security/2026/09/theres-a-new-way-to...

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Discussion (5 Comments)Read Original on HackerNews

tptacek•about 3 hours ago

The most important thing to know about this work, which is awesome, is that it relies on access to a raw RSA oracle, where you have a public key and an API that allows you to directly do RSA operations with the corresponding key. The idea is that you then lose access to the oracle, and thus to the private key, but you've gained enough information from your session with the oracle to make forgeries in the future.

So it's not a straightforward general-purpose RSA-1024 signature break; it's pretty situational. The paper goes into detail (in section 5) about how those situations can emerge in practical scenarios.

bflesch•about 3 hours ago

Thank you for this nice explanation. I skimmed the abstract but didn't really understand it.

hn_submit•about 1 hour ago

All these articles are merely clickbait. I knew there wasn't a real break in RSA before reading the article. It's just some weird subset of usage which allows this. It's nowhere near breaking RSA.

Why are we even contemplating quantum computers breaking encryption when they can't even factorize a 3-digit prime number? I'm wondering if I'll even see quantum computers breaking RSA in my lifetime.

tptacek•about 1 hour ago

I'm pretty sure you just described an IACR paper --- with Nadia Heninger's name on it --- as "clickbait"?

nk_kolja•about 1 hour ago

I was unaware of snfs algorithms for generic moduli and/or signatures. Very nice. The theoretical result is purely due to the 2007 Joux et al. paper. What’s new is the implementation and the 1024-bit rsa signature forgery.

Also no ai, so we can expect some speedups soon.

I really didn’t expect rsa to be targeted so much this year. Hope that these results will motivate people to pursue algorithmic improvements!