createCerts.py

"""
This script creates public keys from the here listed parameters.

These keys can be used for demonstration purposes. They are valid but not secure in the sense that
all there secrets are public. Use these to demonstrate the kleptographic attack on the RSA algorithm.

For the attack itself only the public key is needed aka. the public key modulus and the public key exponent.

The other parameters are used to validate the attack later on.
"""

import rsa.key


"""
RSA-32 attack key for RSA-64
"""
attack_key_32bit = {
    "bits": 32,
    'P': 55711,
    'Q': 52267,
    'PhiN': 2911738860,
    'N': 2911846837,
    'E': 65537,
    'D': 2586563513
}

"""
RSA-64 attack key for RSA-128
"""
attack_key_64bit = {
    "bits": 64,
    'P': 3337805567,
    'Q': 3588638527,
    'PhiN': 11978177646444835716,
    'N': 11978177653371279809,
    'E': 65537,
    'D': 8251686289907860337
}

"""
RSA-128 attack key for RSA-256
"""
attack_key_128bit = {
    "bits": 128,
    'P': 17710801766177235259,
    'Q': 18091019263583148667,
    'PhiN': 320406455925414815348297473514270865828,
    'N': 320406455925414815384099294544031249753,
    'E': 65537,
    'D': 160640788086077788161105305167034074025
}

"""
RSA-256 attack key for RSA-512
"""
attack_key_256bit = {
    "bits": 256,
    'P': 311834484718983040923434328875130419489,
    'Q': 280759999968508389541262383721162977537,
    'PhiN': 87550649919881508449292040460081073471619892660407524730411434762294800621568,
    'N': 87550649919881508449292040460081073472212487145095016160876131474891094018593,
    'E': 65537,
    'D': 25562379819291891056612344083550533910301763066006957683696580621275172954113
}

"""
RSA-512 attack key for RSA-1024
"""
attack_key_512bit = {
    "bits": 512,
    'P': 112521994437407179228272509629412919599626512438638105699093501210820894593209,
    'Q': 112312641839220091086236058767510201946622681626557939895724731547562130414781,
    'PhiN': 12637642460283227912453427505123163135385844433426130935431593592393193879763212235182688166468690541994487432970259166074458051017260751234746672410814240,
    'N': 12637642460283227912453427505123163135385844433426130935431593592393193879763437069818964793739005050562884356091805415268523247062855569467505055435822229,
    'E': 65537,
    'D': 9369715536951066485590003242045478077244887331128609825787282491636560883435227161870803027430515181279462660299142360491904064863034620176333076162190273
}

"""
RSA-1024 attack key for RSA-2048
"""
attack_key_1024bit = {
    "bits": 1024,
    'P': 10081224188957022301369160794101677390103605266976431077002272822605198833460224389043488474819151791614188031102770976493881841598831624467814532665199817,
    'Q': 10912393816780377847987697353894222310894402031155781470821277861509951590001725191894398643501768690820944951211877059131726109706753776272723728711673879,
    'PhiN': 110010288505151389688894719277185522828409459771793674436630705338808661328726157700088971193337370193429742426770117155309860123615943909904163096586189248558616551985256752304284256202232154499974386367719130320805375053519280218715277607383864030785774730698978983489801451581875567585540331034476697606448,
    'N': 110010288505151389688894719277185522828409459771793674436630705338808661328726157700088971193337370193429742426770117155309860123615943909904163096586189269552234557722656901661142404198131855497981684499931678144356059168669703680664858545270982351706257165831961298137837077189826873170941071572738074480143,
    'E': 65537,
    'D': 60677966780356324434657770609452710365157775788192894754647401263213993464925052238320584260749794127776650277597177089737717987525659405453647368896921875534383189971513207536128710395628239328395778238557015469680832162513007024217157559114880403204971008213782936283158259788846575477701327284347218595265
}

key_list = [attack_key_32bit, attack_key_64bit, attack_key_128bit, attack_key_256bit, attack_key_512bit, attack_key_1024bit]

for key in key_list:
    temp_pub_key = rsa.key.PublicKey(key['N'], key['E'])
    out_file = open('attack_key_' + str(key['bits']), 'wb')
    out_file.write(temp_pub_key.save_pkcs1())
    out_file.close()