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55e845fe12
The `io::Write` trait is somewhat worthless, being implemented for nothing, yet `Read` remains fully functional. This also allows using its polyfills _without_ requiring `alloc`. Opportunity taken to make `schnorr-signatures` not require `alloc`. This will require a version bump before being published due to newly requiring the `alloc` feature be specified to maintain pre-existing behavior. Enables resolving https://github.com/monero-oxide/monero-oxide/issues/48.
embedwards25519
A curve defined over the Ed25519 scalar field.
This curve was found via tevador's script for finding curves (specifically, curve cycles), modified to search for curves whose field is the Ed25519 scalar field (not the Ed25519 field).
p = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
q = 0x0fffffffffffffffffffffffffffffffe53f4debb78ff96877063f0306eef96b
D = -420435
y^2 = x^3 - 3*x + 4188043517836764736459661287169077812555441231147410753119540549773825148767
The embedding degree is (q-1)/2.
This curve should not be used with single-coordinate ladders, and points should always be represented in a compressed form (preventing receiving off-curve points).