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serai/crypto/embedwards25519/README.md
Luke Parker ffe1b60a11 Move the contents of the evrf/ folder to the crypto/ folder
It was justified when it had several libraries, which it no longer does thanks
to the upstreaming with monero-oxide.
2025-08-29 00:25:09 -04:00

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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).