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For a trapdoor function to use I'd take the curve y^2 mod 2^255-19 = x^3 + 486662x^2 + x mod 2^255-19. Add 2 points along this curve by drawing a straightline between them, locating the other intersection, & mirroring to the other half of the curve. Doubling a point on the curve finds the other intersection along the tangential line, then mirrors it.

In which case we can multiply points on the curve by repeating that addition operation!

Mathematicians please summarize why this is suitable!
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