Curve and point over GF(2N).

//////////////////////////////////////////////////////////////////////////////// Parameters ---------- Field degree = 223 Discriminant = -679351 Class number = 446 Order U = R*K with R BPSW-prime ------------------------------- U = 13479973333575319897333507543509814922446042298823059087804060576348 R = 3369993333393829974333376885877453730611510574705764771951015144087 K = 4 U binary size = 223 R binary size = 221 K binary size = 3 K factorization = 2**2 MOV condition ------------- (2**e mod R) <> 1 for all e in 1..2230 Field GF(2**223) ---------------- Field polynomial = [223,33,0] Basis type = Polynomial J-invariant ----------- J = 16#2F7C2925C50877B0BF396F8A767F2E855CB87DAA112FFEE8B654CA46# Curve (y**2 + xy = x**3 + Ax**2 + B) of order R*K ------------------------------------------------- R = 3369993333393829974333376885877453730611510574705764771951015144087 K = 4 A = 16#0# B = 16#6DFD3C1C5CB789DA8ABB326FA25309D5D06DE2A08C77D524AE690461# Base point G (of order R) ------------------------- X = 16#2700F05CE7FCA11E0CE5D4188314A6100447744E68FC7E7D523BDF42# Y = 16#164C2CF26E46F18C0D5ABACC53DB4216690DEE801AEDAC2C80ABEB8F# ////////////////////////////////////////////////////////////////////////////////