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Add Jupyter Notebook for Simple RSA #226

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Merged
master-fury merged 2 commits into from
Oct 5, 2020
Merged

Add Jupyter Notebook for Simple RSA #226

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3b8774a
Simple RSA learning notebook - Created using Colaboratory
hardword Oct 2, 2020
877f11b
move a file to the right place
howardshin1 Oct 2, 2020
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292 changes: 292 additions & 0 deletions Cryptography/src/RSA/RSA_simple.ipynb
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Original file line number Diff line number Diff line change
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "RSA_simple.ipynb",
"provenance": [],
"collapsed_sections": []
},
"kernelspec": {
"name": "python2",
"display_name": "Python 2"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "GlSiAIHM5UaN"
},
"source": [
"## RSAaaay (From TAMUctf 2019)\n",
"\n",
"Hey, you're a hacker, right? I think I am too, look at what I made!\n",
"\n",
"---\n",
"```\n",
"(2531257, 43)\n",
"\n",
"My super secret message: \n",
"906851 991083 1780304 2380434 438490 356019 921472 822283 817856 556932 2102538 2501908 2211404 991083 1562919 38268\n",
"```\n",
"---\n",
"\n",
"Problem is, I don't remember how to decrypt it... could you help me out?\n",
"\n",
"*Difficulty: easy*\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "imRBoEE408F-"
},
"source": [
"Finding p,q: http://factordb.com/index.php?query=2531257 (Change query param with your N)\n",
"\n",
"Reference: https://github.com/p4-team/ctf/tree/master/2017-02-25-bkp/rsa_buffet"
]
},
{
"cell_type": "code",
"metadata": {
"id": "T3Zpi9mpJj8H"
},
"source": [
"# From https://gist.github.com/JonCooperWorks/5314103\n",
"\n",
"def multiplicative_inverse(e, phi):\n",
" d = 0\n",
" x1 = 0\n",
" x2 = 1\n",
" y1 = 1\n",
" temp_phi = phi\n",
"\n",
" while e > 0:\n",
" temp1 = temp_phi/e\n",
" temp2 = temp_phi - temp1 * e\n",
" temp_phi = e\n",
" e = temp2\n",
"\n",
" x = x2- temp1* x1\n",
" y = d - temp1 * y1\n",
" \n",
" x2 = x1\n",
" x1 = x\n",
" d = y1\n",
" y1 = y\n",
" \n",
" if temp_phi == 1:\n",
" return d + phi\n",
" "
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Ktq4TYOZJpwu",
"outputId": "f07f47a3-7b40-4aa8-94f9-9b67dbc7f74c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"p=509\n",
"q=4973\n",
"e=43\n",
"phi=(p-1)*(q-1)\n",
"n=p*q\n",
"d=multiplicative_inverse(e, phi)\n",
"\n",
"print d"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"2584515\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "sfDZWjXTJtDz"
},
"source": [
"enc='906851 991083 1780304 2380434 438490 356019 921472 822283 817856 556932 2102538 2501908 2211404 991083 1562919 38268'\n",
"enc_list=enc.split()\n",
"dec=[]"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "jTfOjnR-Jwrp"
},
"source": [
"for _ in enc_list:\n",
"\tmsg = int(_)**d % n\n",
"\tdec.append(msg)\n",
" "
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "zW6gGGQMOInt",
"outputId": "29fc14f3-fbe7-468b-9667-7b784b618724",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"print dec"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"[103L, 105103L, 101109L, 12383L, 97118L, 97103L, 10195L, 83105L, 12095L, 70108L, 121105L, 110103L, 9584L, 105103L, 101114L, 115125L]\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "S4SgwGUH7TTJ",
"outputId": "215442df-d6e7-4451-c703-b8cb3dff5543",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"dec_new=[103, 105, 103, 101, 109, 123, 83, 97, 118, 97, 103, 101, 95, 83, 105, 120, 95, 70, 108, 121, 105, 110, 103, 95, 84, 105, 103, 101, 114, 115, 125]\n",
"\n",
"dec_str=''\n",
"\n",
"for _ in dec_new:\n",
" dec_str += chr(_)\n",
" \n",
"print dec_str"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"gigem{Savage_Six_Flying_Tigers}\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "_d-E9Viu2mAY"
},
"source": [
"http://www.oxfordmathcenter.com/drupal7/node/206\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "wRLBGdNJVpD-"
},
"source": [
"def multiplicative_inverse(e, phi):\n",
" d = 0\n",
" x1 = 0\n",
" x2 = 1\n",
" y1 = 1\n",
" temp_phi = phi\n",
"\n",
" while e > 0:\n",
" temp1 = temp_phi/e\n",
" temp2 = temp_phi - temp1 * e\n",
" temp_phi = e\n",
" e = temp2\n",
"\n",
" x = x2- temp1* x1\n",
" y = d - temp1 * y1\n",
" \n",
" x2 = x1\n",
" x1 = x\n",
" d = y1\n",
" y1 = y\n",
" \n",
" if temp_phi == 1:\n",
" return d + phi"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "nasUAOZXVgpZ",
"outputId": "08f249d5-3e9e-4355-cb24-57065cbd44ba",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"p=45000107\n",
"q=48000089\n",
"e=17\n",
"phi=(p-1)*(q-1)\n",
"n=p*q\n",
"\n",
"print multiplicative_inverse(e, phi) - phi\n"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"635296778826273\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "zzdNpry0gHR3"
},
"source": [
"VIRSECCON CTF 2020 - Classic\n",
"\n",
"```\n",
"n = 77627938360345301510724699969247652387657633828943576274039402978346703944383\n",
"\n",
"e = 65537\n",
"\n",
"c = 62899945974090753231979111677615029855602721049941681356856158761811378918268\n",
"```\n",
"\n"
]
}
]
}