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darkfi/script/research/ec/pairing/2.2.4-deuring.sage

23 lines
435 B
Python

import math
def hasse_interval(q):
interval = (q + 1 - 2 * sqrt(q)).n(), (q + 1 + 2 * sqrt(q)).n()
return math.ceil(interval[0]), math.floor(interval[1])
q = 23
K = GF(q)
low, high = hasse_interval(23)
for i in range(100):
a = K.random_element()
b = K.random_element()
try:
E = EllipticCurve(K, [a, b])
except:
continue
assert E.cardinality() >= low
assert E.cardinality() <= high