It’s 255:19AM. Do you know what your validation criteria are?
hdevalence.ca
hdevalence.ca
> Malleability. We also see no relevance of “malleability” to the standard definition of signature security. For example, if we slightly modified the system then replacing S by −S and replacing A by −A (a slight variant of the “attack” of [75]) would convert one valid signature into another valid signature of the same message under a new public key; but it would still not accomplish the attacker’s goal, namely to forge a signature on a new message under a target public key. One such modification would be to omit A from the hashing; another such modification would be to have A encode only |A|, rather than A.
They key here is the second half of the paragraph: "it would still not accomplish the attacker’s goal, namely to forge a signature on a new message under a target public key".
Similarly how the design doesn't see a problem with malleability in the sense of converting one valid signature into another valid signature, It seems to me it was never a design goal of Ed25519 to begin with to strictly define the set of valid (and invalid) signatures.
This is why cryptography is difficult, because it's easy to use a primitive in a complex system and assume things about the primitives that possibly make them unsuited for the system developed.
AEAD is a big example of that, delivering integrity protection for symmetric encryption that too many engineers never even realised their application required. Moving from the Merkle–Damgård construction to Sponge construction for hashes is one way to deliver another unspecified requirement - preventing length extension attacks.
Way too often in cryptography when somebody is sure that they don't need a big complicated system with a bunch of features it turns out actually they just didn't understand their full requirements, and as those become clear all the baggage they were pleased to be rid of turns out to have been necessary all along.
For a popular enough protocol, if there is an underspecified thing then there will be two implementations that implement that thing differently, and if possible, incompatibly. And I am talking about correctly programmed and compliant implementations, never mind the buggy and/or deliberately non-compliant implementations (cf. Microsoft's "No standard or clause in a standard has a divine right of existence" stance). That's why the designer should not leave the implementers any rope whatsoever to strangle themselves, especially in cryptography.
5 bits of choice is a lot of rope to auto-asphyxiate oneself in cryptography.
1. https://eprint.iacr.org/2019/779 2. https://eprint.iacr.org/2020/823
The issue is that implementations will reject valid signatures.
However, this finding may have big impact on the adoption rate of Ed25519 for DKIM. Specifically for DKIM validators (MTAs).
MTAs are already amongst the worst offenders when it comes to not adhering to the standards. The DKIM canonicalisation scheme [2] is already hard enough to implement on it's own, now with this finding we might get even more false positives and negatives in DKIM validation.
Let's hope that the finding will encourage library maintainers to come to a consensus on how to validate Ed25519. And also hope that MTA developers will not try to roll their own...
[0] https://tools.ietf.org/html/rfc8463 [1] https://www.mailhardener.com/kb/how-to-use-dkim-with-ed25519 [2] https://tools.ietf.org/html/rfc6376#section-3.4
These Ed25519 interop problems only arise with maliciously crafted keys and nonces. This is a problem for consensus systems (like Zcash in the article) because the signature is recorded and needs to be verified by many parties, and if a malicious signature it tickles an interop bug it can maybe (handwave) force third parties to treat the blockchain as invalid, or something like that. But in the context of DKIM if a sender generates a signature that a recipient can't validate, by using buggy key generation code that produces small cofactors or noncanonical encodings, only the sender suffers pain.
The common DER encoding used for ECDSA signatures introduces several behaviours similar to the ones being discussed here which differ between implementations. (Or, rather, DER itself doesn't but BER does and what things that implement DER usually implement is some subset of BER and some superset of DER).
For curves with a cofactor similar issues also probably arise there-- I haven't thought much about that since I just try to avoid cofactor generally, because it's a pretty big footgun. :)
ECDSA implemented as Bitcoin does today (post BIP66) with a perfectly strict and completely specified DER encoding-- a near-power-of-2-size cofactorless curve-- and an additional requirement on S being in the lower half of the range doesn't have these issues. ... except to the extent that someone could try to make an implementation copying some off-the-shelf-ecdsa and miss those specific requirements and only be partially compatible.
Do you reduce the 255 mod 24 to decide if the time is acceptable, or do you just reject anything over 23 as unreasonable... or maybe you only reject larger than 99 (because two digits is enough) but from 23 and 99 you reduce mod 24.
In many kinds of programs it isn't too critical exactly how you handle unreasonable inputs. Garbage in Garbage out. In consensus systems, however, any difference in behaviour can be a fatal vulnerability.
Some might find the motivation section of Bitcoin's BIP340 informative: https://github.com/bitcoin/bips/blob/master/bip-0340.mediawi...
Or this earlier publication: https://slowli.github.io/ed25519-quirks/ (which has more explanation for the S value related issues that the parent article mostly skips over-- but lacks the breadth and the amazing illustration of the incompatibility train-wreak).
Another issue can come if you have code like this, and different validations are used.
if (signature_valid()) {
// Safe because we already verified signature.
use_signed_message_or_die();
}
In practice the check and usage could be very far apart in the code (maybe using the type system to keep track of verified signatures), or even in different programs.