Curve225519

Remco Bloemen

2015-08-26

Construction

x,y𝔽225519 x,y ∈ 𝔽_{2^{255} - 19}

y2=x3+486662x2+x y^2 = x^3 + 486662 x^2 + x

𝔼={(x,y)|x,y𝔽225519y2=x3+486662x2+x} \mathbb{E} = \left\{ (x, y) | x,y ∈ 𝔽_{2^{255} - 19} \wedge y^2 = x^3 + 486662 x^2 + x \right\}

ab= a ⊞ b =