Windows CryptoAPI and Go bound public exponents at 2^32-1, so don't
generate keys which would violate that.
https://github.com/golang/go/issues/3161https://msdn.microsoft.com/en-us/library/aa387685(VS.85).aspx
BoringSSL itself also enforces a 33-bit limit.
I don't currently have plans to take much advantage of it, but the
modular inverse step and one of the GCDs in RSA key generation are
helped by small public exponents[0]. In case someone feels inspired
later, get this limit enforced now. Use 32-bits as that's a more
convenient limit, and there's no requirement to produce e=2^32+1 keys.
(Is there still a requirement to accept them?)
[0] This isn't too bad, but it's only worth it if it produces simpler or
smaller code. RSA keygen is not performance-critical.
1. Make bn_mod_u16_consttime work for uint32_t. It only barely doesn't
work. Maybe only accept 3 and 65537 and pre-compute, maybe call into
bn_div_rem_words and friends, maybe just tighten the bound a hair
longer.
2. Implement bn_div_u32_consttime by incorporating 32-bit chunks much
like bn_mod_u32_consttime.
3. Perform one normal Euclidean algorithm iteration rather than using the
binary version. u, v, B, and D are now single words, while A and C
are full-width.
4. Continue with binary Euclidean algorithm (u and v are still secret),
taking advantage of most values being small.
Update-Note: RSA_generate_key_ex will no longer generate keys with
public exponents larger than 2^32-1. Everyone uses 65537, save some
folks who use 3, so this shouldn't matter.
Change-Id: I0d28a29a30d9ff73bff282e34dd98e2b64c35c79
Reviewed-on: https://boringssl-review.googlesource.com/26365
Reviewed-by: Adam Langley <alangley@gmail.com>
5833dd807e