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Title:
Twisting Edwards curves with isogenies
Authors: Mike Hamburg
Abstract:Edwards’ elliptic curve form is popular in modern cryptographic implementations thanks to their fast, strongly unified addition formulas. Twisted Edwards curves with a = −1 are slightly faster, but their addition formulas are not complete over Fp where p ≡ 3 (mod 4). In this short note, we propose that designers specify Edwards curves, but implement scalar multiplications and the like using an isogenous twisted Edwards curve.
ePrint: https://eprint.iacr.org/2014/027
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