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#ITEM 2 - Implement Affine Coordinates over Doppio. #66
Labels
blocking
This is blocking further implementations, actual PR's or Issues.
enhancement
New feature or request
This issue lives under the item: https://gitlab.dusk.network/dusk-org/tech/issues/2
Affine coordinates are the conventional way of expressing elliptic curve points, which uses 2 coordinates. The math is concise and easy to follow.
For a pair of constants a and b, an elliptic curve is defined by the set of all points (x,y) that satisfy the equation y2=x3+ax+b, plus a special “point at infinity” named O.
We should provide support for the point operations over this coordinates and also implement point
Eq
trait for them as all other Point implementations will rely on it.The skeleton was started in 5d2928e and needs some work on it.
We will need to implement:
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