5 ms·
the McEliece cryptosystem goes back to the 70s, doesn't mean it's as well studied as RSA. obviously people study popular cryptographic primitives more. having
by teravor 4mo ago
the McEliece cryptosystem goes back to the 70s, doesn't mean it's as well studied as RSA. obviously people study popular cryptographic primitives more.
having said that, I would trust McEliece more than Kyber.
- tptacek 4mo agoYou would trust McEliece more than Kyber because...
- grayhatter 4mo agoBecause NIST chose it, after non-public input from the NSA. But if I am honest, NIST recommending it at all is enough to suspect it of being compromised. I say that as an American, and my non-american friends equally don't trust NIST on crypto topics. The real problem I have is best described as I haven't read a single coherent argument responding to and rejecting the real concerns raised by the individual who after nist betrayed the internet with by recommending a compromised standard at the encouragement of the NSA. Is the person who wrote the crypto library everyone uses. DJB puts his money (time) where his mouth is. I would critique his attachment to his own ego. But I'm in the group of people who haven't contributed enough yet to foss to get to throw stones. So I'll defer to people who can match his contributions. Until that happens, DJB's reputation is cares passionately about crypto and it's community, vs an US government group with a reputation for trying to sabotage crypto systems after passing secrets with the NSA, who refuses to provide details about their most recent secret messages. I do find some of the arguments and refutations from the mailing lists compelling. But not all the them, and nothing directly from NIST. Equally some of DJB's appear to weaken his points. But like I said, I plan to trust the reputation each party has earned. NIST has a history of behaving inappropriately, and unethically around it's cryptography recommendations. But the people currently in charge would rather pretend they're above it and not literally directly responsible for the organization with a well earned reputation. If you're given a 2nd chance after your partner catches you cheating, it's a reasonable requirement that you account for every second of your time, until you restore the reputation you destroyed.
- some_furry 4mo ago> But if I am honest, NIST recommending it at all is enough to suspect it of being compromised. NIST isn't the NSA and doesn't have the NSA's goals in mind. They are briefed by NSA on some matters, sure, but they're not the same organization. NSA has a dual mission: Both SIGINT and COMINT. While the SIGINT folks might rub their hands and laugh evilly at the prospect of backdooring the PQ KEM that the Internet wants to move towards, this plot makes no sense at several levels. The NSA has, through CNSA 2.0, committed to moving the entire federal government onto ML-KEM for top secret communications. The COMINT guys would shit themselves in rage if it turned out to be backdoored, even if there was enough hubris that the backdoor was NOBUS. If you can't trust the people, you should always seek to understand their incentives if you want to predict their behavior. My interpretation of the CNSA 2.0 move was that the NSA believes 1) that ML-KEM is actually the good stuff, and 2) the Suite B transition failed so spectacularly that they want to signal confidence in ML-KEM by recommending it without hybridization. Since pretty much everything they do is top secret, they probably can't comment further.
- grayhatter 4mo agoYou're argument is that I shouldn't think of NIST as a patsy for the NSA, is because the NSA can't possibly be recommending a compromised cipher, because if they were, that would mean this US government org is horribly defective and dysfunctional, where one side didn't know what the other was doing? Incentives are basically all I consider when trying to establish true motive. But you're not required to consider motive when there's a history or pattern. Even if "It's the way we've always done it", wasn't a much, much stronger motive than thought/reason is for any human. It's both logical and desired to treat something as the most dangerous until proven otherwise. I used to be a nurse. I remember when working in the ED, I was taught that every single woman on childbearing age who comes into the ED with abdominal pain is an extopic pregnancy until proven otherwise. If you ask a woman if it's possible she could be pregnant, regardless of the truth, many will claim it's impossible. If you blindly trust them, and delay treatment, you could needlessly kill your patient, or leave them infertile. Why would someone lie and risk that? Or how dare your medical team make assumptions like that? Well the alternative is worse, the reality should be easy to prove. NIST has a history of recommending broken ciphers. That's not a mistake a professional would ever make. So thinking about incentives, I'm going to treat it like it was intentional. Here the group with a history for fucking up, isn't being transparent. I would love it if NIST would say enough to make DJB happy or at least stop pretending like they deserve any trust anymore. Until then, I don't find "they're probably behaving like rational actors" compelling enough to trust them with keeping secrets from somebody who I actually do trust.
- mswphd 4mo agoyou would make poor decisions then. McEliece recently (in the last month) had a large new attack against it https://eprint.iacr.org/2026/1232 https://eprint.iacr.org/2026/1232 This doesn't hit classic McEliece yet, but is part of a line of work that Randriambololona has been doing, which are at a minimum very concerning for the security of McEliece.
- teravor 4mo agocertainly a concern, and a good reason to use multiple cryptosystems together. unfortunately there are probably similar papers for Kyber which are NSA property and will never see the light of day. they do employ a lot of mathematicians. for applications where key exchange need not be particularly fast or compact, I would even throw in 4096 MP-RSA in (tuned to whatever size the exchange can tolerate) as a hedge against that if a CRQC is even possible, it would be able to continue to grow in size quickly or at all.
- mswphd 4mo agothere is no indication there are similar papers. Curiously, the best lattice cryptanalysts in the world are chinese and european (here I'm thinking of people like Ducas, Albrecht, and Ding). It's actually a weird blindspot of american cryptography (this isn't true for all cryptanalysis, but in general European cryptography is "more concrete" vs "theoretical" american cryptography). This isn't to say that it is impossible for the NSA to have their own private cryptanalysis. It is to say they're not some magical fairy that produces non-trivial attacks. They, like any other organization, need to develop talent. In the past they have been able to do this (they, through the CCR, hired Don Coppersmith in 2005. A VERY notable cryptanalyst at the time). I am unaware of any lattice cryptanalysts who have "gone dark" in a way similar to how Coppersmith did in ~2005. Note that we also have theoretical reasons to be more confident in the hardness of ML-KEM. The reasons are technical (and worse than the practical reasons we have, namely people have iterated on attacks and the attacks stopped getting appreciably better). But it is (curiously) the hardness assumption we perhaps have the best (theoretical) justification for why it is hard. Using RSA as a hedge would be incredibly stupid. Index calculus attacks were significantly improved in the 2010s, at least for small characteristic finite field DH. These improvements have only tangentially hit RSA. I've heard a integer factorization record holder directly say there's no real barrier to similar improvements hitting factoring. It hasn't been done, so it isn't "easy". But also people wouldn't be surprised if it was done. The record for binary characteristic finite field DH is ~30k bits (by an academic team. governments could throw more money at it of course).