Similar to what was done for EdDSA, allow incremental creation
and verification of ECDSA signatures.
Doing so for ECDSA is trivial, and can be useful for TLS as well
as the future package manager.
This commit accepts unusual parameters like EcdsaP384Sha256.
Some certifictes(below certs are in /etc/ssl/certs/ca-certificates.crt on Ubuntu 22.04) use EcdsaP384Sha256 to sign itself.
- Subject: C=GR, L=Athens, O=Hellenic Academic and Research Institutions Cert. Authority, CN=Hellenic Academic and Research Institutions ECC RootCA 2015
- Subject: C=US, ST=Texas, L=Houston, O=SSL Corporation, CN=SSL.com EV Root Certification Authority ECC
- Subject: C=US, ST=Texas, L=Houston, O=SSL Corporation, CN=SSL.com Root Certification Authority ECC
In verify(), hash array `h` is allocated to be larger than the scalar.encoded_length.
The array is regarded as big-endian.
Hash values are filled in the back of the array and the rest bytes in front are filled with zero.
In sign(), the hash array is allocated and filled as same as verify().
In deterministicScalar(), hash bytes are insufficient to generate `k`
To generate `k` without narrowing its value range,
this commit uses algorithm stage h. in "Section 3.2 Generation of k" in RFC6979.
A hash function cascade was a common way to avoid length-extension
attacks with traditional hash functions such as the SHA-2 family.
Add `std.crypto.hash.composition` to do exactly that using arbitrary
hash functions, and pre-define the common SHA2-based ones.
With this, we can now sign and verify Bitcoin signatures in pure Zig.
ECDSA is the most commonly used signature scheme today, mainly for
historical and conformance reasons. It is a necessary evil for
many standard protocols such as TLS and JWT.
It is tricky to implement securely and has been the root cause of
multiple security disasters, from the Playstation 3 hack to multiple
critical issues in OpenSSL and Java.
This implementation combines lessons learned from the past with
recent recommendations.
In Zig, the NIST curves that ECDSA is almost always instantied with
use formally verified field arithmetic, giving us peace of mind
even on edge cases. And the API rejects neutral elements where it
matters, and unconditionally checks for non-canonical encoding for
scalars and group elements. This automatically eliminates common
vulnerabilities such as https://sk.tl/2LpS695v .
ECDSA's security heavily relies on the security of the random number
generator, which is a concern in some environments.
This implementation mitigates this by computing deterministic
nonces using the conservative scheme from Pornin et al. with the
optional addition of randomness as proposed in Ericsson's
"Deterministic ECDSA and EdDSA Signatures with Additional Randomness"
document. This approach mitigates both the implications of a weak RNG
and the practical implications of fault attacks.
Project Wycheproof is a Google project to test crypto libraries against
known attacks by triggering edge cases. It discovered vulnerabilities
in virtually all major ECDSA implementations.
The entire set of ECDSA-P256-SHA256 test vectors from Project Wycheproof
is included here. Zero defects were found in this implementation.
The public API differs from the Ed25519 one. Instead of raw byte strings
for keys and signatures, we introduce Signature, PublicKey and SecretKey
structures.
The reason is that a raw byte representation would not be optimal.
There are multiple standard representations for keys and signatures,
and decoding/encoding them may not be cheap (field elements have to be
converted from/to the montgomery domain).
So, the intent is to eventually move ed25519 to the same API, which
is not going to introduce any performance regression, but will bring
us a consistent API, that we can also reuse for RSA.
