{ "cells": [ { "cell_type": "code", "source": [ "from src.nkode_api import NKodeAPI\n", "from src.models import NKodePolicy, KeypadSize\n", "from secrets import choice\n", "from string import ascii_lowercase\n", "import numpy as np\n", "import bcrypt\n", "import hashlib\n", "import base64\n", "from IPython.display import Markdown, display\n", "\n", "def random_username() -> str:\n", " return \"test_username\" + \"\".join([choice(ascii_lowercase) for _ in range(6)])\n", "\n", "\n", "def select_keys_with_passcode_values(user_passcode_idxs: list[int], keypad: np.ndarray, props_per_key: int) -> list[int]:\n", " indices = [np.where(keypad == prop)[0][0] for prop in user_passcode_idxs]\n", " return [int(index // props_per_key) for index in indices]\n", "\n", "\n", "def keypad_view(keypad: np.ndarray, props_per_key: int):\n", " interface_keypad = keypad.reshape(-1, props_per_key)\n", " for idx, key_vals in enumerate(interface_keypad):\n", " print(f\"Key {idx}: {key_vals}\")\n" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-03-20T10:38:44.577863Z", "start_time": "2025-03-20T10:38:44.572040Z" } }, "outputs": [], "execution_count": 75 }, { "cell_type": "code", "source": [ "api = NKodeAPI()\n", "user_icons = np.array([\n", " \"😀\", \"😂\", \"🥳\", \"😍\", \"🤓\",\n", " \"😎\", \"🥺\", \"😡\", \"😱\", \"🤯\",\n", " \"🥰\", \"😴\", \"🤔\", \"🙃\", \"😇\",\n", " \"🤖\", \"👽\", \"👾\", \"🐱\", \"🐶\",\n", " \"🦁\", \"🐻\", \"🐸\", \"🐙\", \"🦄\",\n", " \"🌟\", \"⚡\", \"🔥\", \"🍕\", \"🎉\"\n", "])" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-03-20T10:38:44.585583Z", "start_time": "2025-03-20T10:38:44.582961Z" } }, "outputs": [], "execution_count": 76 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### nKode Customer\n", "An nKode customer is business has employees (users). An nKode API can service many customers each with their own users.\n", "Each customer specifies a keypad size and a nkode policy.\n", "The keypad can't be dispersable (`numb_of_keys < properties_per_key`)" ] }, { "cell_type": "markdown", "source": [ "#### Customer Cipher Keys\n", "Each customer has unique cipher keys.\n", "These keys are used to encipher and decipher user nKode.\n", "There are two types of Customer Cipher Keys:\n", "1. property key: Combined with the user property key to get the server-side representation of a users icons.\n", "2. position key: Combined with the user position key to the server-side representation the position in each key.\n" ], "metadata": { "collapsed": false } }, { "cell_type": "code", "source": [ "policy = NKodePolicy(\n", " max_nkode_len=10,\n", " min_nkode_len=4,\n", " distinct_positions=0,\n", " distinct_properties=4,\n", ")\n", "keypad_size = KeypadSize(\n", " numb_of_keys = 5,\n", " props_per_key = 6\n", ")\n", "customer_id = api.create_new_customer(keypad_size, policy)\n", "customer = api.customers[customer_id]\n", "print(f\"Customer Position Key: {customer.cipher.position_key}\")\n", "print(f\"Customer Properties Key:\")\n", "customer_prop_keypad = customer.cipher.property_key.reshape(-1, keypad_size.props_per_key)\n", "for idx, key_vals in enumerate(customer_prop_keypad):\n", " print(f\"{key_vals}\")\n", "position_properties_dict = dict(zip(customer.cipher.position_key, customer_prop_keypad.T))\n", "print(f\"Position to Properties Map:\")\n", "for pos_val, props in position_properties_dict.items():\n", " print(f\"{pos_val}: {props}\")" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2025-03-20T10:38:44.601079Z", "start_time": "2025-03-20T10:38:44.595017Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Customer Position Key: [10895 31772 47823 53466 56263 49352]\n", "Customer Properties Key:\n", "[32913 31208 39571 1116 2737 19900]\n", "[ 4026 23392 64571 25864 56877 34756]\n", "[56837 8582 51951 34890 37611 61978]\n", "[55074 11623 3931 21342 53702 21700]\n", "[26922 1472 49420 42668 7254 41918]\n", "Position to Properties Map:\n", "10895: [32913 4026 56837 55074 26922]\n", "31772: [31208 23392 8582 11623 1472]\n", "47823: [39571 64571 51951 3931 49420]\n", "53466: [ 1116 25864 34890 21342 42668]\n", "56263: [ 2737 56877 37611 53702 7254]\n", "49352: [19900 34756 61978 21700 41918]\n" ] } ], "execution_count": 77 }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:44.612692Z", "start_time": "2025-03-20T10:38:44.610267Z" } }, "cell_type": "code", "source": [ "user_icon_keypad = user_icons.reshape(-1, keypad_size.props_per_key)\n", "pos_icons_dict = dict(zip(customer.cipher.position_key, user_icon_keypad.T))\n", "print(\"Position Value to Icons Map:\")\n", "for pos_val, icons in pos_icons_dict.items():\n", " print(f\"{pos_val}: {icons}\")\n" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Position Value to Icons Map:\n", "10895: ['😀' '🥺' '🤔' '🐱' '🦄']\n", "31772: ['😂' '😡' '🙃' '🐶' '🌟']\n", "47823: ['🥳' '😱' '😇' '🦁' '⚡']\n", "53466: ['😍' '🤯' '🤖' '🐻' '🔥']\n", "56263: ['🤓' '🥰' '👽' '🐸' '🍕']\n", "49352: ['😎' '😴' '👾' '🐙' '🎉']\n" ] } ], "execution_count": 78 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### User Signup\n", "Users can create an nkode with these steps:\n", "1. Generate a randomly shuffled keypad\n", "2. Set user nKode\n", "3. Confirm user nKode\n", "\n", "#### Generate Keypad\n", " For the server to determine the users nkode, the user's keypad must be dispersable.\n", " To make the keypad dispersable, the server will randomly drop key positions so the number of properties per key is equal to the number of keys.\n", " In our case, the server drops 1 key position to give us a 5 X 5 keypad with possible index values ranging from 0-29.\n", " - Run the cell below over and over to see it change. Notice that values never move out of their columns just their rows.\n", " - each value in the keypad is the index value of a customer properties\n", " - the user never learns what their server-side properties" ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:44.636348Z", "start_time": "2025-03-20T10:38:44.630660Z" } }, "cell_type": "code", "source": [ "signup_session_id, set_signup_keypad = api.generate_signup_keypad(customer_id)\n", "display(Markdown(\"\"\"### Icon Keypad\"\"\"))\n", "keypad_view(user_icons[set_signup_keypad], keypad_size.numb_of_keys)\n", "display(Markdown(\"\"\"### Index Keypad\"\"\"))\n", "keypad_view(set_signup_keypad, keypad_size.numb_of_keys)\n", "display(Markdown(\"\"\"### Customer Properties Keypad\"\"\"))\n", "keypad_view(customer.cipher.property_key[set_signup_keypad], keypad_size.numb_of_keys)" ], "outputs": [ { "data": { "text/plain": [ "" ], "text/markdown": "### Icon Keypad" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Key 0: ['🐱' '🌟' '🤖' '🤓' '🎉']\n", "Key 1: ['🥺' '🙃' '🔥' '🍕' '😎']\n", "Key 2: ['🦄' '🐶' '🤯' '👽' '🐙']\n", "Key 3: ['😀' '😂' '😍' '🥰' '😴']\n", "Key 4: ['🤔' '😡' '🐻' '🐸' '👾']\n" ] }, { "data": { "text/plain": [ "" ], "text/markdown": "### Index Keypad" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Key 0: [18 25 15 4 29]\n", "Key 1: [ 6 13 27 28 5]\n", "Key 2: [24 19 9 16 23]\n", "Key 3: [ 0 1 3 10 11]\n", "Key 4: [12 7 21 22 17]\n" ] }, { "data": { "text/plain": [ "" ], "text/markdown": "### Customer Properties Keypad" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Key 0: [55074 1472 34890 2737 41918]\n", "Key 1: [ 4026 8582 42668 7254 19900]\n", "Key 2: [26922 11623 25864 37611 21700]\n", "Key 3: [32913 31208 1116 56877 34756]\n", "Key 4: [56837 23392 21342 53702 61978]\n" ] } ], "execution_count": 79 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## Set nKode\n", "The client receives `user_icons`, `set_signup_keypad`\n" ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:44.674025Z", "start_time": "2025-03-20T10:38:44.671302Z" } }, "cell_type": "code", "source": [ "username = random_username()\n", "passcode_len = 4\n", "passcode_property_indices = np.random.choice(set_signup_keypad.reshape(-1), size=passcode_len, replace=False).tolist()\n", "selected_keys_set = select_keys_with_passcode_values(passcode_property_indices, set_signup_keypad, keypad_size.numb_of_keys)\n", "print(f\"User Passcode Indices: {passcode_property_indices}\")\n", "print(f\"User Passcode Icons: {user_icons[passcode_property_indices]}\")\n", "print(f\"User Passcode Server-side properties: {customer.cipher.property_key[passcode_property_indices]}\")\n", "print(f\"Selected Keys: {selected_keys_set}\")" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "User Passcode Indices: [28, 13, 9, 10]\n", "User Passcode Icons: ['🍕' '🙃' '🤯' '🥰']\n", "User Passcode Server-side properties: [ 7254 8582 25864 56877]\n", "Selected Keys: [1, 1, 2, 3]\n" ] } ], "execution_count": 80 }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:44.700525Z", "start_time": "2025-03-20T10:38:44.697597Z" } }, "cell_type": "code", "source": [ "confirm_keypad = api.set_nkode(username, customer_id, selected_keys_set, signup_session_id)\n", "keypad_view(confirm_keypad, keypad_size.numb_of_keys)\n", "selected_keys_confirm = select_keys_with_passcode_values(passcode_property_indices, confirm_keypad, keypad_size.numb_of_keys)\n", "print(f\"Selected Keys\\n{selected_keys_confirm}\")" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Key 0: [ 6 7 3 4 23]\n", "Key 1: [24 1 15 28 17]\n", "Key 2: [12 25 27 16 11]\n", "Key 3: [ 0 13 9 22 29]\n", "Key 4: [18 19 21 10 5]\n", "Selected Keys\n", "[1, 3, 3, 4]\n" ] } ], "execution_count": 81 }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:44.947744Z", "start_time": "2025-03-20T10:38:44.709897Z" } }, "cell_type": "code", "source": [ "# the session is deleted after the nkode is confirmed. To rerun this cell, rerun the cells above starting with cell 8 where the username is created\n", "success = api.confirm_nkode(username, customer_id, selected_keys_confirm, signup_session_id)\n", "assert success" ], "outputs": [], "execution_count": 82 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## User Cipher\n", "\n", "Users have 4 cipher keys:\n", "1. property_key: The counterpart to the `customer_prop_key`. A user's server-side passcode is composed of elements in `user_prop_key XOR customer_prop_key`.\n", "2. pass_key: The passcode key is used to encipher user passcode\n", "3. combined_position_key: The combined position key is `user_pos_key XOR customer_pos_key`.\n", "4. mask_key: The mask key used to encipher user nKode\n", "\n", "\n" ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:44.959614Z", "start_time": "2025-03-20T10:38:44.954840Z" } }, "cell_type": "code", "source": [ "from src.user_cipher import UserCipher\n", "user_cipher = UserCipher.create(keypad_size, customer.cipher.position_key, customer.nkode_policy.max_nkode_len)\n", "user_prop_key_keypad = user_cipher.property_key.reshape(-1, keypad_size.props_per_key)" ], "outputs": [], "execution_count": 83 }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:44.968863Z", "start_time": "2025-03-20T10:38:44.966571Z" } }, "cell_type": "code", "source": "print(f\"Property Key:\\n{user_prop_key_keypad}\")", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Property Key:\n", "[[53739 14349 64971 50952 51008 37461]\n", " [45744 17444 29958 27397 60694 8069]\n", " [43064 47943 49025 5623 3145 4890]\n", " [ 1128 11012 53093 14232 26108 5391]\n", " [59341 47378 48497 6840 34437 29587]]\n" ] } ], "execution_count": 84 }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:44.985451Z", "start_time": "2025-03-20T10:38:44.983449Z" } }, "cell_type": "code", "source": "print(f\"Passcode Key: {user_cipher.pass_key}\")", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Passcode Key: [16245 48001 4534 55258 54613 15211 33171 56565 33961 50654]\n" ] } ], "execution_count": 85 }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:45.007753Z", "start_time": "2025-03-20T10:38:45.005712Z" } }, "cell_type": "code", "source": "print(f\"Mask Key: {user_cipher.mask_key}\")", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mask Key: [52084 24514 63626 6657 19669 39430 35626 25229 14824 63798]\n" ] } ], "execution_count": 86 }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:45.026885Z", "start_time": "2025-03-20T10:38:45.024649Z" } }, "cell_type": "code", "source": "print(f\"Combined Position Key: {user_cipher.combined_position_key}\")", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Combined Position Key: [10235 12456 898 54650 50445 20719]\n" ] } ], "execution_count": 87 }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:45.041101Z", "start_time": "2025-03-20T10:38:45.038985Z" } }, "cell_type": "code", "source": "print(f\"User Position Key = combined_pos_key XOR customer_pos_key: {user_cipher.combined_position_key ^ customer.cipher.position_key}\")", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "User Position Key = combined_pos_key XOR customer_pos_key: [ 3444 19636 47437 1440 7882 36903]\n" ] } ], "execution_count": 88 }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:45.059433Z", "start_time": "2025-03-20T10:38:45.056942Z" } }, "cell_type": "code", "source": [ "position_properties_dict = dict(zip(user_cipher.combined_position_key, user_prop_key_keypad.T))\n", "print(f\"Combined Position to Properties Map:\")\n", "for pos_val, props in position_properties_dict.items():\n", " print(f\"{pos_val}: {props}\")" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Combined Position to Properties Map:\n", "10235: [53739 45744 43064 1128 59341]\n", "12456: [14349 17444 47943 11012 47378]\n", "898: [64971 29958 49025 53093 48497]\n", "54650: [50952 27397 5623 14232 6840]\n", "50445: [51008 60694 3145 26108 34437]\n", "20719: [37461 8069 4890 5391 29587]\n" ] } ], "execution_count": 89 }, { "metadata": {}, "cell_type": "markdown", "source": [ "#### Encipher Mask\n", "1. Get the `padded_passcode_position_indices`; padded with random position indices to equal length `max_nkode_len`.\n", "2. Recover the `user_position_key`. Recall `user.cipher.combined_position_key = user_position_key XOR customer.cipher.positon_key`\n", "3. Order the `user_position_key` by the `padded_passcode_position_indices`\n", "4. Mask the `ordered_user_position_key`\n", "5. Base 64 encode the mask" ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:45.070036Z", "start_time": "2025-03-20T10:38:45.068009Z" } }, "cell_type": "code", "source": [ "padded_passcode_position_indices = customer.cipher.get_passcode_position_indices_padded(list(passcode_property_indices), customer.nkode_policy.max_nkode_len)\n", "user_position_key = user_cipher.combined_position_key ^ customer.cipher.position_key\n", "ordered_user_position_key = user_position_key[padded_passcode_position_indices]\n", "mask = ordered_user_position_key ^ user_cipher.mask_key\n", "encoded_mask = user_cipher.encode_base64_str(mask)" ], "outputs": [], "execution_count": 90 }, { "metadata": {}, "cell_type": "markdown", "source": [ "#### Encipher Passcode\n", "1. Compute `combined_property_key`\n", "2. Recover `user_passcode = ordered_combined_proptery_key`; order by passcode_property_indices\n", "3. Zero pad `user_pascode`\n", "4. Encipher `user_passcode` with `user.cipher.pass_key`\n", "5. Hash `ciphered_passcode`" ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:45.320480Z", "start_time": "2025-03-20T10:38:45.087096Z" } }, "cell_type": "code", "source": [ "combined_prop_key = customer.cipher.property_key ^ user_cipher.property_key\n", "user_passcode = combined_prop_key[passcode_property_indices]\n", "pad_len = customer.nkode_policy.max_nkode_len - passcode_len\n", "padded_passcode = np.concatenate((user_passcode, np.zeros(pad_len, dtype=user_passcode.dtype)))\n", "ciphered_passcode = padded_passcode ^ user_cipher.pass_key\n", "passcode_prehash = base64.b64encode(hashlib.sha256(ciphered_passcode.tobytes()).digest())\n", "passcode_hash = bcrypt.hashpw(passcode_prehash, bcrypt.gensalt(rounds=12)).decode(\"utf-8\")" ], "outputs": [], "execution_count": 91 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### User Login\n", "1. Get login keypad\n", "2. Select keys with passcode icons (in our case, passcode property indices)\n" ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:45.559945Z", "start_time": "2025-03-20T10:38:45.326214Z" } }, "cell_type": "code", "source": [ "login_keypad = api.get_login_keypad(username, customer_id)\n", "keypad_view(login_keypad, keypad_size.props_per_key)\n", "selected_keys_login = select_keys_with_passcode_values(passcode_property_indices, login_keypad, keypad_size.props_per_key)\n", "print(f\"User Passcode: {passcode_property_indices}\\n\")\n", "print(f\"Selected Keys:\\n {selected_keys_login}\\n\")\n", "success = api.login(customer_id, username, selected_keys_login)\n", "assert success" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Key 0: [18 25 14 15 4 29]\n", "Key 1: [ 6 13 20 27 28 5]\n", "Key 2: [24 19 26 9 16 23]\n", "Key 3: [ 0 1 8 3 10 11]\n", "Key 4: [12 7 2 21 22 17]\n", "User Passcode: [28, 13, 9, 10]\n", "\n", "Selected Keys:\n", " [1, 1, 2, 3]\n", "\n" ] } ], "execution_count": 92 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## Validate Login Key Entry\n", "- decipher user mask and recover nkode position values\n", "- get presumed properties from key selection and position values\n", "- compare with hash" ] }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Decipher Mask\n", "Recover nKode position values:\n", "- decode mask from base64 to int\n", "- ordered_user_position_key = mask ^ mask_key\n", "- user_position_key = user.cipher.co\n", "- deduce the set indices" ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:45.570140Z", "start_time": "2025-03-20T10:38:45.567396Z" } }, "cell_type": "code", "source": [ "login_keypad = api.get_login_keypad(username, customer_id)\n", "selected_keys_login = select_keys_with_passcode_values(passcode_property_indices, login_keypad, keypad_size.props_per_key)\n", "user = api.customers[customer_id].users[username]\n", "mask = user.cipher.decode_base64_str(user.enciphered_passcode.mask)\n", "ordered_user_position_key = mask ^ user.cipher.mask_key\n", "user_position_key = customer.cipher.position_key ^ user.cipher.combined_position_key\n" ], "outputs": [], "execution_count": 93 }, { "metadata": {}, "cell_type": "markdown", "source": [ "#### Get Presumed Properties\n", "- Get the passcode position indices (within the keys)\n", "- Get the presumed property indices from the key and position within the key" ] }, { "metadata": {}, "cell_type": "code", "outputs": [], "execution_count": null, "source": [ "passcode_position_indices = [int(np.where(user_position_key == pos)[0][0]) for pos in ordered_user_position_key[:passcode_len]]\n", "presumed_property_indices = customer.users[username].user_keypad.get_prop_idxs_by_keynumb_setidx(selected_keys_login, passcode_position_indices)\n", "assert passcode_property_indices == presumed_property_indices\n" ] }, { "metadata": {}, "cell_type": "markdown", "source": "### Compare Enciphered Passcodes\n" }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:45.809575Z", "start_time": "2025-03-20T10:38:45.576610Z" } }, "cell_type": "code", "source": [ "valid_nkode = user.cipher.compare_nkode(presumed_property_indices, customer.cipher, user.enciphered_passcode.code)\n", "assert valid_nkode" ], "outputs": [], "execution_count": 94 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## Renew Properties\n", "1. Renew Customer Properties\n", "2. Renew User Keys\n", "3. Refresh User on Login\n", "\n" ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:46.286081Z", "start_time": "2025-03-20T10:38:45.816688Z" } }, "cell_type": "code", "source": [ "def print_user_enciphered_code():\n", " mask = api.customers[customer_id].users[username].enciphered_passcode.mask\n", " code = api.customers[customer_id].users[username].enciphered_passcode.code\n", " print(f\"mask: {mask}, code: {code}\\n\")\n", "\n", "print(\"Old User Cipher and Mask\")\n", "print_user_enciphered_code()\n", "api.renew_keys(customer_id) # Steps 1 and 2\n", "login_keypad = api.get_login_keypad(username, customer_id)\n", "selected_keys_login = select_keys_with_passcode_values(passcode_property_indices, login_keypad, keypad_size.props_per_key)\n", "success = api.login(customer_id, username, selected_keys_login) # Step 3\n", "print(\"New User Cipher and Mask\")\n", "print_user_enciphered_code()\n", "assert success" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Old User Cipher and Mask\n", "mask: y8aMd+5qYcPVLETTcs2aHqx2hhk=, code: $2b$12$wMi7WGmlch8kWMYJ2v.FHOne1.YSQPqKU/itpBuycwSFyasryF/2u\n", "\n", "New User Cipher and Mask\n", "mask: aln5Su79utoVmqQXNCjYiUdwVYw=, code: $2b$12$gQf3UVa3cWMBy0CO0sBLyuJzdXGzg3qpNFMTD6MvycuR6N3gLFdgC\n", "\n" ] } ], "execution_count": 95 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Renew Customer Keys\n", "The customer cipher keys are replaced." ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:46.296985Z", "start_time": "2025-03-20T10:38:46.293584Z" } }, "cell_type": "code", "source": [ "old_props = customer.cipher.property_key.copy()\n", "old_pos = customer.cipher.position_key.copy()\n", "customer.cipher.property_key = np.random.choice(2 ** 16, size=keypad_size.total_props, replace=False)\n", "customer.cipher.position_key = np.random.choice(2 ** 16, size=keypad_size.props_per_key, replace=False)\n", "new_props = customer.cipher.property_key\n", "new_pos = customer.cipher.position_key" ], "outputs": [], "execution_count": 96 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Renew User\n", "User property and position keys go through an intermediate phase.\n", "#### user.cipher.combined_position_key\n", "- user_combined_position_key = user_combined_position_key XOR pos_xor\n", "- user_combined_position_key = (user_position_key XOR old_customer_position_key) XOR (old_customer_position_key XOR new_customer_position_key)\n", "- user_combined_position_key = user_position_key XOR new_customer_position_key\n", "#### user.cipher.combined_position_key\n", "- user_property_key = user_property_key XOR props_xor\n", "- user_property_key = user_property_key XOR old_customer_property_key XOR new_customer_property_key\n" ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:46.312031Z", "start_time": "2025-03-20T10:38:46.310019Z" } }, "cell_type": "code", "source": [ "props_xor = new_props ^ old_props\n", "pos_xor = new_pos ^ old_pos\n", "for user in customer.users.values():\n", " user.renew = True\n", " user.cipher.combined_position_key = user.cipher.combined_position_key ^ pos_xor\n", " user.cipher.property_key = user.cipher.property_key ^ props_xor" ], "outputs": [], "execution_count": 97 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Refresh User Keys\n", "After a user's first successful login, the renew flag is checked. If it's true, the user's cipher is replaced with a new cipher." ] }, { "metadata": { "ExecuteTime": { "end_time": "2025-03-20T10:38:46.553807Z", "start_time": "2025-03-20T10:38:46.318482Z" } }, "cell_type": "code", "source": [ "if user.renew:\n", " user.cipher = UserCipher.create(\n", " customer.cipher.keypad_size,\n", " customer.cipher.position_key,\n", " user.cipher.max_nkode_len\n", " )\n", " user.enciphered_passcode = user.cipher.encipher_nkode(presumed_property_indices, customer.cipher)\n", " user.renew = False" ], "outputs": [], "execution_count": 98 } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }