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Support compressed and uncompressed point serialization #43
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Why don't we check that the point is on the curve first?
Seems to me that the deserialization logic of a point in the affine space should be:
x
,y
(x, y)
is on the curve, i.e. satisfies the curve equationDo I miss something? (Note: this code initially originates from the library, and has just been moved around in this PR - so this question applies to the current state of the library, as in master, for the deserialization of uncompressed points)
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Note, it seems to me that, the same assumption is made in the deserialization of compressed points, since I can read here that the
sqrt
function does not terminate if the element is a quadratic non-residue in the field: https://github.com/scipr-lab/libff/blob/master/libff/algebra/fields/fp.hpp#L108We can "skip" the bullet
3.
above here since cofactor = 1, but why skipping bullet2.
? I'd be in favor to test for quadratic residuity using Euler's criterion (and the euler exponent defined here: https://github.com/scipr-lab/libff/blob/master/libff/algebra/fields/fp.hpp#L54) first, and only proceed if the test is valid.These functions act as I/O with the backend of the library, so I would be in favor to make no assumption about their input, and the parsed points.
As such, I would be in favor to add these checks. @dtebbs @madars @ValarDragon thoughts?
This is related to #50