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The paper you reference mentions that although both coordinates are sent, the protocol only requires the x-coordinate to be authenticated and validated. This means that the y-coordinate is free to be manipulated in implementations that do the bare minimum. As mentioned in a comment, "poor programmers and bad quality testers will not consider [this ...


3

Let $\beta$ a non-square element in $\mathbf{F}_p$, then the elliptic curve defined by $\beta y^2 = x^3 + 3$ is a quadratic twist of secp192k1 whose equation is $y^2 = x^3 + 3$. It means that if $x_0^3 + 3$ is a square, there exists $y_0 \in \mathbf{F}_p$ that is a square root of $x_0^3 + 3$, so $(x_0, y_0)$ belongs to secp192k1, and on the other hand if $...


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