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Can someone explain how the Gallant-Lambert-Vanstone method works (or which literature explains it)?

It is also unclear to me how the Frobenius endomorphism can be used in some cases for a speedup.

Also: how does it make sure that an attack remains infeasible (by using this method)?

(I am especially interested because of the sec256k1 curve which uses the method)

NightRain23
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