Tanja Lange
Tanja Lange
Tanja Lange
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Elliptic geared for cryptoIntroduce further parameter d to cover more curves over kx 2 (+ y 2 = c 2 (1 + dx 2 y 2 ), c, d ≠ 0, dc 4 ≠ 1.)xP y Q + y P x QP + Q =c(1 + dx P x Q y P y Q ) , y P y Q − x P x Q.c(1 − dx P x Q y P y Q )Neutral element is (0, c), this is an affine point!−(x P , y P ) = (−x P , y P ).[2]P =(xP y P + y P x Pc(1 + dx P x P y P y P ) , y P y P − x P x Pc(1 − dx P x P y P y P )).D. J. Bernstein & T. <strong>Lange</strong> http://hyperelliptic.org/tanja/newelliptic – p. 15
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