Transforming scalars to non-adjacent form shrinks the number of
precomputations down to 8, while still processing 4 bits at a time.
However, real-world benchmarks show that the transform is only
really useful with large precomputation tables and for batch
signature verification. So, do it for batch verification only.
https://github.com/cfrg/draft-irtf-cfrg-hash-to-curve
This is quite an important feature to have since many other standards
being worked on depend on this operation.
Brings a couple useful arithmetic operations on field elements by the way.
This PR also adds comments to the functions we expose in 25519/field
so that they can appear in the generated documentation.
Leverage result location semantics for X25519 like we do everywhere
else in 25519/*
Also add the edwards25519->curve25519 map by the way since many
applications seem to use this to share the same key pair for encryption
and signature.
This is slightly slower but makes our verification function compatible
with batch signatures. Which, in turn, makes blockchain people happy.
And we want to make our users happy.
Add convenience functions to substract edwards25519 points and to
clear the cofactor.
This is a rewrite of the x25519 code, that generalizes support for
common primitives based on the same finite field.
- Low-level operations can now be performed over the curve25519 and
edwards25519 curves, as well as the ristretto255 group.
- Ed25519 signatures have been implemented.
- X25519 is now about twice as fast.
- mem.timingSafeEqual() has been added for constant-time comparison.
Domains have been clearly separated, making it easier to later add
platform-specific implementations.