ECC is based on the gal o is field in, elliptic curve set of points Econ statutes on the group defines separate logarithm system In gal o is field elliptic curve choice, Should avoid using the ultra strange curve, guarantees thee no ugh security The elliptic curve operation for assigns on elliptic curve E basic point G and The integer (1 1) n kappa kappa <= <=, asks the number to ride(mod) GQ p kappa =, Q also is on E, computation.. GGG G kappa =+++(kappa G Adds together) is relatively easy But if assigns in thee l l iptic curve two G and Q, asks an integer kappa, causes (mod) GQ p kappa =, specially when G is compares When Gao Jie basic point, then is extremely difficult This is the elliptic curve separate logarithm question. Based on the elliptic curve separate logarithm question difficult solution, to have formed the ECC system.

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