def gen_key():
while True:
p = getPrime(k/2)
if gcd(e, p-1) == 1:
break
q_t = getPrime(k/2)
n_t = p * q_t
t = get_bit(n_t, k/16, 1)
y = get_bit(n_t, 5*k/8, 0)
p4 = get_bit(p, 5*k/16, 1)
u = pi_b(p4, 1)
n = bytes_to_long(long_to_bytes(t) + long_to_bytes(u) + long_to_bytes(y))
q = n / p
if q % 2 == 0:
q += 1
while True:
if isPrime(q) and gcd(e, q-1) == 1:
break
m = getPrime(k/16) + 1
q ^= m
return (p, q, e)
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