355 lines
111 KiB
Plaintext
355 lines
111 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "30dc9f33-7fea-4319-9592-dadb2547a801",
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"metadata": {},
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"source": [
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"# RENSA cipher analysis"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 16,
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"id": "e16987a1-da56-4bd6-8e3f-91a7f42b673c",
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"bytelist = np.arange(256)\n",
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"\n",
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"def freq_stats(filepath):\n",
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" res = np.zeros(256)\n",
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" with open(filepath, \"rb\") as f:\n",
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" curr = f.read(1)\n",
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" while curr:\n",
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" res[curr[0]] += 1\n",
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" curr = f.read(1)\n",
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" return res / sum(res)"
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]
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},
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{
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"cell_type": "markdown",
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"id": "b12eed32-1269-45a9-b320-7f0251f8edee",
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"metadata": {},
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"source": [
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"## Keys\n",
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"\n",
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"In this research we will use three different keys:\n",
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"\n",
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"- Default key (DK): consists of 256 incrementing bytes (0, 1, 2, ..., 255)\n",
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"- Low entropy key (LEK): consists of 256 first characters of _lorem ipsum_ text\n",
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"- High entropy key (HEK): consists of 256 randomly generated bytes\n",
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"\n",
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"Here are the entropy values for these keys respectively:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"id": "cfd958ae-d51e-4bf7-945a-7ceccdc00cea",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"8.000000\n",
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"4.253401\n",
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"7.246746\n"
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]
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}
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],
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"source": [
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"%%bash\n",
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"cat test/DK | ./entropy\n",
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"cat test/LEK | ./entropy\n",
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"cat test/HEK | ./entropy"
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]
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},
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{
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"cell_type": "markdown",
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"id": "1b99f9b8-799c-4679-96bf-ff91b7f78af7",
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"metadata": {},
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"source": [
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"## Text file\n",
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"\n",
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"File: 6.2 MiB English text."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"id": "945f0966-ef69-4216-a807-1a9953e43ee6",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"4.511148\n"
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]
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}
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],
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"source": [
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"%%bash\n",
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"cat test/big.txt | ./entropy"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"id": "a67596be-ec99-40ce-9df9-da754958a73c",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"6.204891\n"
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]
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}
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],
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"source": [
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"%%bash\n",
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"# encrypt with default key\n",
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"./rensa -i test/big.txt -o test/big.txt.rensa_d\n",
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"cat test/big.txt.rensa_d | ./entropy"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"id": "b068ad36-db28-4693-b4de-76c31a6106d7",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"5.896008\n"
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]
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}
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],
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"source": [
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"%%bash\n",
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"# encrypt with low entropy key (text)\n",
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"./rensa -i test/big.txt -o test/big.txt.rensa_l -k test/LEK\n",
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"cat test/big.txt.rensa_l | ./entropy"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"id": "4692897c-9ffa-4a20-9bc3-bcd802d07a1e",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"7.115868\n"
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]
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}
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],
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"source": [
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"%%bash\n",
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"# encrypt with high entropy key\n",
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"./rensa -i test/big.txt -o test/big.txt.rensa_h -k test/HEK\n",
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"cat test/big.txt.rensa_h | ./entropy"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 39,
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"id": "bf69a3f0-9970-46ce-95c4-3ecf0818315f",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"stats_o = freq_stats(\"test/big.txt\")\n",
|
|
"stats_d = freq_stats(\"test/big.txt.rensa_d\")\n",
|
|
"stats_l = freq_stats(\"test/big.txt.rensa_l\")\n",
|
|
"stats_h = freq_stats(\"test/big.txt.rensa_h\")\n",
|
|
"\n",
|
|
"plt.figure(figsize=(8, 4))\n",
|
|
"plt.plot(bytelist, np.sort(stats_o)[::-1], label='Original')\n",
|
|
"plt.plot(bytelist, np.sort(stats_d)[::-1], label='DK')\n",
|
|
"plt.plot(bytelist, np.sort(stats_l)[::-1], label='LEK')\n",
|
|
"plt.plot(bytelist, np.sort(stats_h)[::-1], label='HEK')\n",
|
|
"\n",
|
|
"plt.ylabel('Frequency')\n",
|
|
"plt.yscale('logit')\n",
|
|
"plt.title('RENSA: text file encryption entropy')\n",
|
|
"\n",
|
|
"plt.legend()\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "cf6ec64e-9e09-4f7d-b878-2b0b59ca24b3",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Multimedia file\n",
|
|
"\n",
|
|
"File: 98 MiB MP4 video."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 40,
|
|
"id": "838136f8-719c-40e7-94b2-841ddd9b446d",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"7.905840\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"%%bash\n",
|
|
"cat test/test.mp4 | ./entropy"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 41,
|
|
"id": "82d5f2ff-9c2e-4798-ac8c-a1fd8e76cfbe",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"7.997809\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"%%bash\n",
|
|
"# encrypt with default key\n",
|
|
"./rensa -i test/test.mp4 -o test/test.mp4.rensa_d\n",
|
|
"cat test/test.mp4.rensa_d | ./entropy"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 42,
|
|
"id": "258ea378-ce83-413e-a8e4-8be694a70d43",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"7.984923\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"%%bash\n",
|
|
"# encrypt with low entropy key (text)\n",
|
|
"./rensa -i test/test.mp4 -o test/test.mp4.rensa_l -k test/LEK\n",
|
|
"cat test/test.mp4.rensa_l | ./entropy"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 43,
|
|
"id": "40a12c6d-6b14-4b8b-ab6d-c6238e87b0d9",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"7.997455\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"%%bash\n",
|
|
"# encrypt with high entropy key\n",
|
|
"./rensa -i test/test.mp4 -o test/test.mp4.rensa_h -k test/HEK\n",
|
|
"cat test/test.mp4.rensa_h | ./entropy"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 44,
|
|
"id": "3d887345-d3a5-41b7-beda-180ff9772bfb",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
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"text/plain": [
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"<Figure size 800x400 with 1 Axes>"
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]
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},
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"metadata": {},
|
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"output_type": "display_data"
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}
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],
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"source": [
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"stats_o = freq_stats(\"test/test.mp4\")\n",
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"stats_d = freq_stats(\"test/test.mp4.rensa_d\")\n",
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"stats_l = freq_stats(\"test/test.mp4.rensa_l\")\n",
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"stats_h = freq_stats(\"test/test.mp4.rensa_h\")\n",
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"\n",
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"plt.figure(figsize=(8, 4))\n",
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"plt.plot(bytelist, np.sort(stats_o)[::-1], label='Original')\n",
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"plt.plot(bytelist, np.sort(stats_d)[::-1], label='DK')\n",
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"plt.plot(bytelist, np.sort(stats_l)[::-1], label='LEK')\n",
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"plt.plot(bytelist, np.sort(stats_h)[::-1], label='HEK')\n",
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"\n",
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"plt.ylabel('Frequency')\n",
|
|
"plt.yscale('logit')\n",
|
|
"plt.title('RENSA: MP4 file encryption entropy')\n",
|
|
"\n",
|
|
"plt.legend()\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
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"kernelspec": {
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"display_name": "Python 3 (ipykernel)",
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},
|
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"language_info": {
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"name": "ipython",
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