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ffe1b60a11
It was justified when it had several libraries, which it no longer does thanks to the upstreaming with monero-oxide.
22 lines
786 B
Markdown
22 lines
786 B
Markdown
# embedwards25519
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A curve defined over the Ed25519 scalar field.
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This curve was found via
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[tevador's script](https://gist.github.com/tevador/4524c2092178df08996487d4e272b096)
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for finding curves (specifically, curve cycles), modified to search for curves
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whose field is the Ed25519 scalar field (not the Ed25519 field).
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```ignore
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p = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
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q = 0x0fffffffffffffffffffffffffffffffe53f4debb78ff96877063f0306eef96b
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D = -420435
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y^2 = x^3 - 3*x + 4188043517836764736459661287169077812555441231147410753119540549773825148767
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```
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The embedding degree is `(q-1)/2`.
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This curve should not be used with single-coordinate ladders, and points should
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always be represented in a compressed form (preventing receiving off-curve
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points).
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