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Analysis of individual security aspects of a cipher or algorithm, not the security of a cipher or algorithm in general (which would lean towards “algorithm-design”).
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Elliptic curve representation
According to this page, Edward's curve point doubling can be represented in a different way by assuming $c=1$ and $d = r^2$.
It then says we can represent $x y$ as $Y Z$ satisfying $r\cdot y = \frac …