Limin Shen
Abstract
Abstrcat We apply some fast elliptic curve arithmetic from the field GF(3~n) to GF(2~n). This is achieved by eliminating not only a field multiplication but also a field division. When we compute 2P+Q from the given points P, Q on the curve, then we can accelerate the speed of computation.
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Abstrcat We apply some fast elliptic curve arithmetic from the field GF(3~n) to GF(2~n). This is achieved by eliminating not only a field multiplication but also a field division. When we compute 2P+Q from the given points P, Q on the curve, then we can accelerate the speed of computation.
Key concepts: Arithmetic, Elliptic curve point multiplication, Mathematics, Elliptic curve, Division (mathematics), Hessian form of an elliptic curve, Multiplication (music), Jacobian curve