Nahamcon 2022
BABY RSA
Solved BY : Avantika
We are given a connection to server, where we are presented with some options as follows
options do as their description says, we will jump right into the quiz
Quiz #1 is pretty simple RSA challenge, here is the script to solve that
from Crypto.Util.number import inverse
c = ciphertext
e = e
n = n
#find p and q using factordb.com
p = p
q = q
phi = (p - 1) * (q - 1)
d = inverse(e, phi)
m = pow(c, d, n)
print(m)
Quiz #2 is small e attack, we just need to take cube-root of the cipher-text and we get the plain-text
from decimal import Decimal
import decimal
def cube_root(x):
return Decimal(x) ** (Decimal(1) / Decimal(3))
with decimal.localcontext() as context:
context.prec = 150
print(cube_root(ciphertext))
Quiz #3 is fermat-attack as the primes chosen were too close
import gmpy2
import math
n = n
def fermat_factor(n):
assert n % 2 != 0
a = gmpy2.isqrt(n)
b2 = gmpy2.square(a) - n
while not gmpy2.is_square(b2):
a += 1
b2 = gmpy2.square(a) - n
p = a + gmpy2.isqrt(b2)
q = a - gmpy2.isqrt(b2)
return int(p), int(q)
(p, q) = fermat_factor(n)
print("p = {}".format(p))
print("q = {}".format(q))
Solving these two gives us our flag.