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Elliptic Curves with the Montgomery-Form and Their Cryptographic Applications

Katsuyuki Okeya, Hiroyuki Kurumatani, Kouichi Sakurai

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Key concepts: Elliptic curve point multiplication, Tripling-oriented Doche–Icart–Kohel curve, Hessian form of an elliptic curve, Schoof's algorithm, Elliptic curve cryptography, Supersingular elliptic curve, Elliptic curve, Edwards curve

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