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May 8, 2019 04:36
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Análisis de Criptografia.ipynb
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{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"name": "Análisis de Criptografia.ipynb", | |
"version": "0.3.2", | |
"provenance": [], | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/Macorreag/dc8d7bd2886cd2cb76eed5179e497f12/an-lisis-de-criptografia.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "N1JCT-He7Zxx", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"Si C es un atacante tendra como objetivo \n", | |
"\n", | |
"\n", | |
"* Leer un mensaje\n", | |
"* Con la ayuda de la clave,lea todas los mensajes cifrados con esa clave.\n", | |
"* Corromper el mensaje de A en otro mensaje de tal manera que piense que A envió el mensaje alterado.\n", | |
"* Enmascarse como A, y comunicarse con B aunque B cree que se comunica con A.\n", | |
"\n", | |
"\n", | |
"### Metodos de Cifrado \n", | |
"\n", | |
"\n", | |
"* Clave Publica \n", | |
">Ahora surge la pregunta cuando se introdujeron los algoritmos de clave pública. La clave publica\n", | |
"el algoritmo se introdujo en la década de 1970. Supongamos que A quiere comunicarse de forma segura con B,\n", | |
"pero están a cientos de kilómetros de distancia y no han acordado una clave de uso. Parece casi\n", | |
"Es imposible para ellos hacer esto sin reunirse primero para ponerse de acuerdo sobre una clave o utilizar un\n", | |
"Mensajero para llevar la llave de uno a otro. Ciertamente, A no puede enviar un mensaje a través de abierto\n", | |
"canales para indicar a B la clave y luego enviar el texto cifrado cifrado con esta clave. Hecho asombroso\n", | |
"Es que este problema tiene una solución, llamada criptografía de clave pública. Se realiza la clave de cifrado.\n", | |
"público, pero es computacionalmente imposible encontrar la clave de descifrado sin información conocida\n", | |
"solo a B. La implementación más popular es RSA.\n", | |
"* Clave Simetrica:\n", | |
"\n", | |
"> Las claves de cifrado y descifrado son conocidas por A como por B.Por ejemplo en algunos casos la clave de cifrado se comparte y la clave de descifrado se calcula facilmente a partir de esta.En otros casos la clave de descifrado y cifrado corresponden a la misma.Como lo son en el caso de algoritmo DES y AES. \n", | |
"\n", | |
"\n", | |
"\n", | |
"\n", | |
"\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "C9wMeP7b7zrS", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"$\\[G(x,y) = \\frac{1}{{2\\pi \\sigma^2}} e^{-\\frac{x^2 + y^2}{2 \\sigma^2}}\n", | |
"\\]$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "3PObuSPDuO6Y", | |
"colab_type": "code", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 285 | |
}, | |
"outputId": "c0e75667-904f-44d8-f62a-ef65423b45d3" | |
}, | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from matplotlib.mlab import bivariate_normal\n", | |
"from mpl_toolkits.mplot3d import Axes3D\n", | |
"\n", | |
"#Parameters to set\n", | |
"mu_x = 0\n", | |
"sigma_x = np.sqrt(3)\n", | |
"\n", | |
"mu_y = 0\n", | |
"sigma_y = np.sqrt(15)\n", | |
"\n", | |
"#Create grid and multivariate normal\n", | |
"x = np.linspace(-10,10,500)\n", | |
"y = np.linspace(-10,10,500)\n", | |
"X, Y = np.meshgrid(x,y)\n", | |
"Z = bivariate_normal(X,Y,sigma_x,sigma_y,mu_x,mu_y)\n", | |
"\n", | |
"#Make a 3D plot\n", | |
"fig = plt.figure()\n", | |
"ax = fig.gca(projection='3d')\n", | |
"ax.plot_surface(X, Y, Z,cmap='viridis',linewidth=0)\n", | |
"ax.set_xlabel('X axis')\n", | |
"ax.set_ylabel('Y axis')\n", | |
"ax.set_zlabel('Z axis')\n", | |
"plt.show()" | |
], | |
"execution_count": 1, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:17: MatplotlibDeprecationWarning: The bivariate_normal function was deprecated in Matplotlib 2.2 and will be removed in 3.1.\n" | |
], | |
"name": "stderr" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
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K/Pw8x44d49SpU0gpuXr1alNzthrpRhHTeuPKyTnKhU9MTACUxKejCCqZTG7o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ZqwZ1bCDMURhc0iBqMOd8hFpdzBYNAxP+Nj464KHzjdVkQUrDYTUrWDyW6mVulgMOpw+u0cVTqs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\ngg==\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "gvTMRe6uudWV", | |
"colab_type": "code", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 248 | |
}, | |
"outputId": "cf86ae5b-587e-445a-97ce-700c63591428" | |
}, | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from scipy.stats import multivariate_normal\n", | |
"from mpl_toolkits.mplot3d import Axes3D\n", | |
"\n", | |
"#Parameters to set\n", | |
"mu_x = 0\n", | |
"variance_x = 3\n", | |
"\n", | |
"mu_y = 0\n", | |
"variance_y = 15\n", | |
"\n", | |
"#Create grid and multivariate normal\n", | |
"x = np.linspace(-10,10,500)\n", | |
"y = np.linspace(-10,10,500)\n", | |
"X, Y = np.meshgrid(x,y)\n", | |
"pos = np.empty(X.shape + (2,))\n", | |
"pos[:, :, 0] = X; pos[:, :, 1] = Y\n", | |
"rv = multivariate_normal([mu_x, mu_y], [[variance_x, 0], [0, variance_y]])\n", | |
"\n", | |
"#Make a 3D plot\n", | |
"fig = plt.figure()\n", | |
"ax = fig.gca(projection='3d')\n", | |
"ax.plot_surface(X, Y, rv.pdf(pos),cmap='viridis',linewidth=0)\n", | |
"ax.set_xlabel('X axis')\n", | |
"ax.set_ylabel('Y axis')\n", | |
"ax.set_zlabel('Z axis')\n", | |
"plt.show()" | |
], | |
"execution_count": 2, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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K/Pw8x44d49SpU0gpuXr1alNzthrpRhHTeuPKyTnKhU9MTACUxKejCCqZTG7o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ZqwZ1bCDMURhc0iBqMOd8hFpdzBYNAxP+Nj464KHzjdVkQUrDYTUrWDyW6mVulgMOpw+u0cVTqs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\ngg==\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
} | |
] | |
} |
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