update documentation

.obsidian/app.json

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.obsidian/appearance.json

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.obsidian/core-plugins.json

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+{
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+  "global-search": true,
+  "switcher": true,
+  "graph": true,
+  "backlink": true,
+  "canvas": true,
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+  "sync": true,
+  "webviewer": false
+}

.obsidian/workspace.json

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+{
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+              "title": "New tab"
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+  "left": {
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+    "type": "split",
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+              "title": "Files"
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+    "width": 300
+  },
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+              "title": "Backlinks"
+            }
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+              "title": "Outgoing links"
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+              "title": "Tags"
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+              "title": "Outline"
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+    "width": 300,
+    "collapsed": true
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+      "canvas:Create new canvas": false,
+      "daily-notes:Open today's daily note": false,
+      "templates:Insert template": false,
+      "command-palette:Open command palette": false
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+  "active": "60d702f2c5c78820",
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+}

docs/encipher_decipher_renew_nkode_v2.md

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+# Encipher, Decipher and Renew nKode
+
+## Tenant Policy
+- max nkode length: 10
+- number of keys: 6
+- properties per key: 9
+- total number of properties: 54
+
+---
+
+## Deterministic CSPRNG
+- AES-CTR DRBG
+- ChaCha20
+
+## User Cipher Keys
+Derive keys in memory from PRNG above:
+- property key: [ 6890 54130 42240 40467 46502 31074 10598 63689 27697 54461 21116 31999
+ 10698 14870 50779 48637 29314 33075 52993 42014  2837  1935 34274 63380
+ 36021 26329 20788 39848  7335  2619 61516 61122 39878 32506 19151  6611
+  2803 10730 53682 39987 11998 42378  6081  8624 34336 15222 35632 33233
+  4072 53750 54671 63845  2770 43728]
+- passcode key: [10632 49355 48031  9925 15082 24190  5137 14304 24524 16141]
+- user position key: [45632  9012 27470 28203 15901  7554 16974 54240 53827]
+- mask key: [ 8177 54825 26281 51895  8940 16695 19756 63041  7376 54396]
+
+---
+
+## User Keypad
+- keypad example:<br/> 
+- user passcode indices: [48 12  7 36]
+
+---
+
+## nKode Cipher
+
+### Passcode Hash 
+```mermaid
+block-beta
+    columns 2
+    prop["user_property_key\n[ 6890 54130 42240 40467 46502 31074 10598 63689 27697 54461 21116 31999
+ 10698 14870 50779 48637 29314 33075 52993 42014  2837  1935 34274 63380
+ 36021 26329 20788 39848  7335  2619 61516 61122 39878 32506 19151  6611
+  2803 10730 53682 39987 11998 42378  6081  8624 34336 15222 35632 33233
+  4072 53750 54671 63845  2770 43728]"]
+    pass["user_passcode_indices\n[48 12  7 36]"]
+    space:2
+    sel(("select\nproperties")):2
+    pass --> sel
+    prop --> sel
+    space:2
+    passcode["user passcode properties:\n[ 4072 10698 63689  2803]"]:2
+    sel --> passcode
+    space:2
+    pad["zero pad to\nmax nkode length: 10"]:2
+    passcode -->pad
+    space:2
+    paddedpasscode["padded passcode:\n[ 4072 10698 63689  2803     0     0     0     0     0     0]"]
+    pad --> paddedpasscode
+    passkey["passcode key:\n[10632 49355 48031  9925 15082 24190  5137 14304 24524 16141]"]
+    space:2
+    xor2(("XOR")):2
+    passkey --> xor2
+    paddedpasscode --> xor2
+    space:2
+    cipheredpass["ciphered passcode:\n[ 9824 59649 17238 11318 15082 24190  5137 14304 24524 16141]"]:2
+    xor2 --> cipheredpass
+    space:2
+    hash(("hash")):2
+    cipheredpass --> hash
+    space:2
+    cipheredhashed["hashed ciphered passcode:\n$2b$12$XcXlcNKMyXQziv.kQWKngO88KUcm.xrn4YRZOOhGgIyMmpMw7NPJa"]:2
+    hash --> cipheredhashed
+```
+
+### Mask Encipher
+```mermaid
+block-beta
+    columns 2
+    passcode_idx["passcode indices:\n[48 12  7 36]"]
+    
+    space:3
+    propidx(["Get Position Idx:\nmap each to element mod props_per_key"])
+    passcode_idx-->propidx
+    space:3
+    passcode_position_idx["passcode poition indices:\n[3, 3, 7, 0]"]
+    propidx --> passcode_position_idx
+    
+    space:3
+    pad1(("Pad with\nrandom indices"))
+    passcode_position_idx --> pad1
+          
+    space:3
+    posidx["Padded Passcode Position Indices:\n[3, 3, 7, 0, 0, 0, 5, 8, 8, 8]"]
+    pad1 --> posidx
+    user_pos["user position key:\n[45632  9012 27470 28203 15901  7554 16974 54240 53827]"]
+    
+    space:2
+    sel(("select positions"))
+    user_pos --> sel
+    posidx --> sel
+    space:3
+    passcode_pos["ordered user passcode positions:\n[28203 28203 54240 45632 45632 45632  7554 53827 53827 53827]"]
+    sel --> passcode_pos
+    mask_key["mask key\n[ 8177 54825 26281 51895  8940 16695 19756 63041  7376 54396]"]
+    space:2
+    xor2(("XOR"))
+    mask_key --> xor2
+    passcode_pos --> xor2
+    space:3
+    mask["enciphered mask:\n cdq4ArVJePcB2PN3D2LrwyLN6mE="]
+    xor2 --> mask
+```
+
+### Validate nKode
+
+```mermaid
+block-beta
+    columns 3
+    selected_keys["keys selected by user during login:\n[1, 3, 1, 4]"]
+    login_keypad["login keypad:\nKey 0: [ 9 28  2 39 49 32 42 34 44]
+Key 1: [ 0  1 20 48 40 50 51  7 35]
+Key 2: [18 19 47 21 13 14 24 25  8]
+Key 3: [27 10 11 12  4  5  6 16 17]
+Key 4: [36 37 38  3 22 23 33 43 53]
+Key 5: [45 46 29 30 31 41 15 52 26]
+"]
+    space:4
+    
+    selectkeys(("filter keys"))
+    mask["enciphered mask:\n cdq4ArVJePcB2PN3D2LrwyLN6mE="]
+    mask_key["mask key:\n[ 8177 54825 26281 51895  8940 16695 19756 63041  7376 54396]"]
+    space:2
+    
+    xor1(("XOR"))
+    mask --> xor1
+    mask_key --> xor1
+    selected_keys --> selectkeys
+    login_keypad --> selectkeys
+    space:3 
+    
+    ordered_keys["ordered keys:\n[[ 0  1 20 48 40 50 51  7 35]
+ [27 10 11 12  4  5  6 16 17]
+ [ 0  1 20 48 40 50 51  7 35]
+ [36 37 38  3 22 23 33 43 53]]"]
+    user_position_key["user position key:\n[45632  9012 27470 28203 15901  7554 16974 54240 53827]"]
+    passcode_pos["ordered user passcode positions:\n[28203 28203 54240 45632 45632 45632  7554 53827 53827 53827]"]
+    selectkeys --> ordered_keys
+    xor1 --> passcode_pos
+    space:8 
+    
+    get_passcode_idxs(("recover passcode\nposition indices"))
+    user_position_key --> get_passcode_idxs
+    passcode_pos --> get_passcode_idxs
+    space:8
+    
+    passcode_pos_idxs["padded passcode position indices:\n[3, 3, 7, 0, 0, 0, 5, 8, 8, 8]"]
+    get_passcode_idxs --> passcode_pos_idxs
+    space:3
+    
+    get_presumed_idxs(("recover passcode\nproperty indices")) 
+    ordered_keys --> get_presumed_idxs
+    passcode_pos_idxs --> get_presumed_idxs
+    space:5
+    
+    passcode_prop_idxs["presumed passcode property indices:\n[48 12  7 36]"]
+    prop["user_property_key\n[ 6890 54130 42240 40467 46502 31074 10598 63689 27697 54461 21116 31999
+ 10698 14870 50779 48637 29314 33075 52993 42014  2837  1935 34274 63380
+ 36021 26329 20788 39848  7335  2619 61516 61122 39878 32506 19151  6611
+  2803 10730 53682 39987 11998 42378  6081  8624 34336 15222 35632 33233
+  4072 53750 54671 63845  2770 43728]"]
+    cipheredhashed["hashed ciphered passcode:\n$2b$12$XcXlcNKMyXQziv.kQWKngO88KUcm.xrn4YRZOOhGgIyMmpMw7NPJa"]
+    get_presumed_idxs --> passcode_prop_idxs
+    space:3
+    
+    sel(("select\nproperties"))
+    passcode_prop_idxs --> sel
+    prop --> sel
+    space:5
+    
+    passcode_prop["presumed passcode properties:\n[ 4072 10698 63689  2803]"]
+    sel --> passcode_prop
+    space:5
+    
+    cipher(("encipher"))
+    passcode_prop --> cipher
+    space:5
+    
+    cipheredpass["ciphered passcode:\n[ 9824 59649 17238 11318 15082 24190  5137 14304 24524 16141]"]
+    cipher --> cipheredpass 
+    space:7
+
+
+    comp{"compare"}
+    cipheredpass --> comp
+    cipheredhashed --> comp
+    space:5 
+    
+    suc(("success")) 
+    comp --"Equal"--> suc
+```
+
+## Renew
+A renewal happens every login
+### Nonce Renew
+With ChaCha20, we can renew the keys and hash every login with a new nonce
+### Secret Renew
+The secret is renewed less frequently. It's stored securely using a service like AWS Secrets Manager.

docs/scripts/render_encipher_decipher_diagrams_v2.py

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+from pathlib import Path
+import numpy as np
+from docs.scripts.utils import render_markdown_template
+from src.models import NKodePolicy, KeypadSize
+from src.user_keypad import UserKeypad
+from src.nkode_cipher_v2.nkode_cipher import NKodeCipher
+from src.utils import select_keys_with_passcode_values
+
+
+def display_keypad(icons_array: np.ndarray, props_per_key: int) -> str:
+    icons = ""
+    for idx, row in enumerate(icons_array.reshape(-1, props_per_key)):
+        icons += f"Key {idx}: "
+        icons += str(row)
+        icons += "\n"
+    return icons
+
+
+if __name__ == "__main__":
+    policy = NKodePolicy(
+        max_nkode_len=10,
+        min_nkode_len=4,
+        distinct_positions=0,
+        distinct_properties=4,
+    )
+    keypad_size = KeypadSize(
+        numb_of_keys=6,
+        props_per_key=9
+    )
+    user_keys = NKodeCipher.create(keypad_size=keypad_size, max_nkode_len=policy.max_nkode_len)
+    passcode_len = 4
+
+    passcode_property_indices = np.random.choice([i for i in range(keypad_size.total_props)], size=passcode_len,
+                                                 replace=False)
+    user_passcode = user_keys.property_key[passcode_property_indices]
+    pad_len = policy.max_nkode_len - passcode_len
+    padded_passcode = np.concatenate((user_passcode, np.zeros(pad_len, dtype=user_passcode.dtype)))
+    ciphered_passcode = padded_passcode ^ user_keys.pass_key
+    cipher = user_keys.encipher_nkode(passcode_property_indices.tolist())
+    padded_passcode_position_indices = user_keys.get_passcode_position_indices_padded(
+        passcode_property_indices.tolist())
+
+    ordered_user_position_key = user_keys.position_key[padded_passcode_position_indices]
+    login_keypad = UserKeypad.create(keypad_size)
+    selected_keys_login = select_keys_with_passcode_values(passcode_property_indices, login_keypad.keypad,
+                                                           keypad_size.props_per_key)
+    context = {
+        "max_nkode_len": policy.max_nkode_len,
+        "numb_of_keys": keypad_size.numb_of_keys,
+        "props_per_key": keypad_size.props_per_key,
+        "user_property_key": user_keys.property_key,
+        "pass_key": user_keys.pass_key,
+        "user_position_key": user_keys.position_key,
+        "mask_key": user_keys.mask_key,
+        "user_passcode_idxs": passcode_property_indices,
+        "user_passcode_props": user_passcode,
+        "padded_passcode": padded_passcode,
+        "ciphered_passcode": ciphered_passcode,
+        "code": cipher.code,
+        "passcode_position_idxs": padded_passcode_position_indices[:passcode_len],
+        "pad_user_passcode_idxs": padded_passcode_position_indices,
+        "ordered_user_position_key": ordered_user_position_key,
+        "mask": cipher.mask,
+        "login_keypad": display_keypad(login_keypad.keypad, keypad_size.props_per_key),
+        "selected_keys": selected_keys_login,
+        "ordered_keys": login_keypad.keypad.reshape(-1, keypad_size.props_per_key)[selected_keys_login],
+    }
+    render_markdown_template(Path("../templates/encipher_decipher_renew_nkode_v2.template.md"),
+                             Path("../encipher_decipher_renew_nkode_v2.md"), context)

docs/scripts/render_zero_trust_nkode.py

@@ -0,0 +1,70 @@
+from pathlib import Path
+import numpy as np
+from docs.scripts.utils import render_markdown_template
+from src.models import NKodePolicy, KeypadSize
+from src.user_keypad import UserKeypad
+from src.nkode_cipher_v2.nkode_cipher import NKodeCipher
+from src.utils import select_keys_with_passcode_values
+
+
+def display_keypad(icons_array: np.ndarray, props_per_key: int) -> str:
+    icons = ""
+    for idx, row in enumerate(icons_array.reshape(-1, props_per_key)):
+        icons += f"Key {idx}: "
+        icons += str(row)
+        icons += "\n"
+    return icons
+
+
+if __name__ == "__main__":
+    policy = NKodePolicy(
+        max_nkode_len=10,
+        min_nkode_len=4,
+        distinct_positions=0,
+        distinct_properties=4,
+    )
+    keypad_size = KeypadSize(
+        numb_of_keys=6,
+        props_per_key=9
+    )
+    user_keys = NKodeCipher.create(keypad_size=keypad_size, max_nkode_len=policy.max_nkode_len)
+    passcode_len = 4
+
+    passcode_property_indices = np.random.choice([i for i in range(keypad_size.total_props)], size=passcode_len,
+                                                 replace=False)
+    user_passcode = user_keys.property_key[passcode_property_indices]
+    pad_len = policy.max_nkode_len - passcode_len
+    padded_passcode = np.concatenate((user_passcode, np.zeros(pad_len, dtype=user_passcode.dtype)))
+    ciphered_passcode = padded_passcode ^ user_keys.pass_key
+    cipher = user_keys.encipher_nkode(passcode_property_indices.tolist())
+    padded_passcode_position_indices = user_keys.get_passcode_position_indices_padded(
+        passcode_property_indices.tolist())
+
+    ordered_user_position_key = user_keys.position_key[padded_passcode_position_indices]
+    login_keypad = UserKeypad.create(keypad_size)
+    selected_keys_login = select_keys_with_passcode_values(passcode_property_indices, login_keypad.keypad,
+                                                           keypad_size.props_per_key)
+    context = {
+        "max_nkode_len": policy.max_nkode_len,
+        "numb_of_keys": keypad_size.numb_of_keys,
+        "props_per_key": keypad_size.props_per_key,
+        "user_property_key": user_keys.property_key,
+        "pass_key": user_keys.pass_key,
+        "user_position_key": user_keys.position_key,
+        "mask_key": user_keys.mask_key,
+        "user_passcode_idxs": passcode_property_indices,
+        "user_passcode_props": user_passcode,
+        "padded_passcode": padded_passcode,
+        "ciphered_passcode": ciphered_passcode,
+        "code": cipher.code,
+        "passcode_position_idxs": padded_passcode_position_indices[:passcode_len],
+        "pad_user_passcode_idxs": padded_passcode_position_indices,
+        "ordered_user_position_key": ordered_user_position_key,
+        "mask": cipher.mask,
+        "login_keypad": display_keypad(login_keypad.keypad, keypad_size.props_per_key),
+        "selected_keys": selected_keys_login,
+        "ordered_keys": login_keypad.keypad.reshape(-1, keypad_size.props_per_key)[selected_keys_login],
+    }
+
+    render_markdown_template(Path("../templates/zero_trust_nkode.template.md"),
+                             Path("../zero_trust_nkode.md"), context)

docs/templates/encipher_decipher_renew_nkode_v2.template.md

@@ -0,0 +1,187 @@
+# Encipher, Decipher and Renew nKode
+
+## Tenant Policy
+- max nkode length: {{ max_nkode_len }}
+- number of keys: {{ numb_of_keys }}
+- properties per key: {{ props_per_key }}
+- total number of properties: {{ numb_of_keys * props_per_key }}
+
+---
+
+## Deterministic CSPRNG
+- AES-CTR DRBG
+- ChaCha20
+
+## User Cipher Keys
+Derive keys in memory from PRNG above:
+- property key: {{ user_property_key }}
+- passcode key: {{ pass_key }}
+- user position key: {{ user_position_key }}
+- mask key: {{ mask_key }}
+
+---
+
+## User Keypad
+- keypad example:<br/>{{ login_keypad_md }} 
+- user passcode indices: {{ user_passcode_idxs}}
+
+---
+
+## nKode Cipher
+
+### Passcode Hash 
+```mermaid
+block-beta
+    columns 2
+    prop["user_property_key\n{{user_property_key}}"]
+    pass["user_passcode_indices\n{{user_passcode_idxs}}"]
+    space:2
+    sel(("select\nproperties")):2
+    pass --> sel
+    prop --> sel
+    space:2
+    passcode["user passcode properties:\n{{user_passcode_props}}"]:2
+    sel --> passcode
+    space:2
+    pad["zero pad to\nmax nkode length: {{max_nkode_len}}"]:2
+    passcode -->pad
+    space:2
+    paddedpasscode["padded passcode:\n{{padded_passcode}}"]
+    pad --> paddedpasscode
+    passkey["passcode key:\n{{pass_key}}"]
+    space:2
+    xor2(("XOR")):2
+    passkey --> xor2
+    paddedpasscode --> xor2
+    space:2
+    cipheredpass["ciphered passcode:\n{{ciphered_passcode}}"]:2
+    xor2 --> cipheredpass
+    space:2
+    hash(("hash")):2
+    cipheredpass --> hash
+    space:2
+    cipheredhashed["hashed ciphered passcode:\n{{code}}"]:2
+    hash --> cipheredhashed
+```
+
+### Mask Encipher
+```mermaid
+block-beta
+    columns 2
+    passcode_idx["passcode indices:\n{{user_passcode_idxs}}"]
+    
+    space:3
+    propidx(["Get Position Idx:\nmap each to element mod props_per_key"])
+    passcode_idx-->propidx
+    space:3
+    passcode_position_idx["passcode poition indices:\n{{passcode_position_idxs}}"]
+    propidx --> passcode_position_idx
+    
+    space:3
+    pad1(("Pad with\nrandom indices"))
+    passcode_position_idx --> pad1
+          
+    space:3
+    posidx["Padded Passcode Position Indices:\n{{pad_user_passcode_idxs}}"]
+    pad1 --> posidx
+    user_pos["user position key:\n{{user_position_key}}"]
+    
+    space:2
+    sel(("select positions"))
+    user_pos --> sel
+    posidx --> sel
+    space:3
+    passcode_pos["ordered user passcode positions:\n{{ordered_user_position_key}}"]
+    sel --> passcode_pos
+    mask_key["mask key\n{{mask_key}}"]
+    space:2
+    xor2(("XOR"))
+    mask_key --> xor2
+    passcode_pos --> xor2
+    space:3
+    mask["enciphered mask:\n {{mask}}"]
+    xor2 --> mask
+```
+
+### Validate nKode
+
+```mermaid
+block-beta
+    columns 3
+    selected_keys["keys selected by user during login:\n{{selected_keys}}"]
+    login_keypad["login keypad:\n{{login_keypad}}"]
+    space:4
+    
+    selectkeys(("filter keys"))
+    mask["enciphered mask:\n {{mask}}"]
+    mask_key["mask key:\n{{mask_key}}"]
+    space:2
+    
+    xor1(("XOR"))
+    mask --> xor1
+    mask_key --> xor1
+    selected_keys --> selectkeys
+    login_keypad --> selectkeys
+    space:3 
+    
+    ordered_keys["ordered keys:\n{{ordered_keys}}"]
+    user_position_key["user position key:\n{{user_position_key}}"]
+    passcode_pos["ordered user passcode positions:\n{{ordered_user_position_key}}"]
+    selectkeys --> ordered_keys
+    xor1 --> passcode_pos
+    space:8 
+    
+    get_passcode_idxs(("recover passcode\nposition indices"))
+    user_position_key --> get_passcode_idxs
+    passcode_pos --> get_passcode_idxs
+    space:8
+    
+    passcode_pos_idxs["padded passcode position indices:\n{{pad_user_passcode_idxs}}"]
+    get_passcode_idxs --> passcode_pos_idxs
+    space:3
+    
+    get_presumed_idxs(("recover passcode\nproperty indices")) 
+    ordered_keys --> get_presumed_idxs
+    passcode_pos_idxs --> get_presumed_idxs
+    space:5
+    
+    passcode_prop_idxs["presumed passcode property indices:\n{{user_passcode_idxs}}"]
+    prop["user_property_key\n{{user_property_key}}"]
+    cipheredhashed["hashed ciphered passcode:\n{{code}}"]
+    get_presumed_idxs --> passcode_prop_idxs
+    space:3
+    
+    sel(("select\nproperties"))
+    passcode_prop_idxs --> sel
+    prop --> sel
+    space:5
+    
+    passcode_prop["presumed passcode properties:\n{{user_passcode_props}}"]
+    sel --> passcode_prop
+    space:5
+    
+    cipher(("encipher"))
+    passcode_prop --> cipher
+    space:5
+    
+    cipheredpass["ciphered passcode:\n{{ciphered_passcode}}"]
+    cipher --> cipheredpass 
+    space:7
+
+
+    comp{"compare"}
+    cipheredpass --> comp
+    cipheredhashed --> comp
+    space:5 
+    
+    suc(("success")) 
+    comp --"Equal"--> suc
+```
+
+## Renew
+A renewal happens every login
+### Nonce Renew
+With ChaCha20, we can renew the keys and hash every login with a new nonce
+### Secret Renew
+The secret is renewed less frequently. It's stored securely using a service like AWS Secrets Manager.
+

docs/templates/zero_trust_nkode.template.md

@@ -0,0 +1,43 @@
+# Zero Trust nKode with aPAKE (OPAQUE)
+
+```mermaid
+sequenceDiagram
+    participant Client
+    participant Server
+    Note over Client, Server: Enrollment
+    Client ->> Server: Signup Session: email
+    Client ->> Client: Create 128-bit Secret Key
+    Note left of Client: Request user stores Secret Key in a safe place
+    Client ->> Server: OPAQUE Register with Secret Key<br/>https://github.com/facebook/opaque-ke
+    Client ->> Server: OPAQUE Login with email + Secret Key
+    opt Secret Key OPAQUE tunnel
+        Client ->> Server: Get New Icons
+        Server -->> Client: icons
+        Note left of Client: Icons are stored on Client
+        Note left of Client: well-known nonce: 0x1 (or any number)
+        Client ->> Client: Assign random names to icons from<br/>secret_key and well known nonce
+        Client ->> Server: list of random icon names
+        Note right of Server: Only a client with the secret key can request these icons.<br/>Server doesn't know the owner
+        loop assign icons
+            Client ->> Client: Regenerate 4-6 icons until user accepts them
+        end
+
+        Client ->> Client: Create new nonce
+        Client ->> Client: ChaCha20 key derivation (pass_key, mask_key, prop_key, pos_key)
+        Client ->> Client: Compute Mask
+        Note left of Client: User Password is concat([list of assigned icon values])
+        Client ->> Server: OPAQUE Register with User Password + nonce, mask
+    end
+    Note over Client, Server: Login
+    Client ->> Server: OPAQUE Login with email + Secret Key
+    opt Secret Key OPAQUE tunnel
+        Server ->> Client: nonce, mask
+        Client ->> Client: Display Keypad to User<br/>User makes key selection
+        Client ->> Client: recover user password
+        Client ->> Server: OPAQUE Password Login
+    end
+    Note over Client, Server: User Session
+    opt Secret Key PAKE Key XOR nKode PAKE Key tunnel
+        Client ->> Server: all communication goes through this double PAKE
+    end
+```

notebooks/Enrollment_Login_Renewal_Detailed.ipynb

@@ -2,6 +2,18 @@
  "cells": [
   {
    "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-03-27T19:17:57.439685Z",
+     "start_time": "2025-03-27T19:17:57.405237Z"
+    },
+    "collapsed": false,
+    "jupyter": {
+     "outputs_hidden": false
+    }
+   },
+   "outputs": [],
    "source": [
     "import sys\n",
     "import os\n",
@@ -25,25 +37,18 @@
     "    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": "2025-03-27T19:17:57.439685Z",
-     "start_time": "2025-03-27T19:17:57.405237Z"
-    }
-   },
-   "outputs": [],
-   "execution_count": 1
   },
   {
+   "cell_type": "code",
+   "execution_count": 2,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.446190Z",
      "start_time": "2025-03-27T19:17:57.443952Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "api = NKodeAPI()\n",
     "user_icons = np.array([\n",
@@ -54,13 +59,11 @@
     "    \"🦁\", \"🐻\", \"🐸\", \"🐙\", \"🦄\",\n",
     "    \"🌟\", \"⚡\", \"🔥\", \"🍕\", \"🎉\"\n",
     "])"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 2
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "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",
@@ -69,8 +72,8 @@
    ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "#### Customer Cipher Keys\n",
     "Each customer has unique cipher keys.\n",
@@ -81,36 +84,14 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 3,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.487136Z",
      "start_time": "2025-03-27T19:17:57.475079Z"
     }
    },
-   "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}\")"
-   ],
    "outputs": [
     {
      "name": "stdout",
@@ -133,23 +114,39 @@
      ]
     }
    ],
-   "execution_count": 3
+   "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}\")"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 4,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.507904Z",
      "start_time": "2025-03-27T19:17:57.505187Z"
     }
    },
-   "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",
@@ -165,11 +162,17 @@
      ]
     }
    ],
-   "execution_count": 4
+   "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"
+   ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### User Signup\n",
     "Users can create an nKode with these steps:\n",
@@ -187,30 +190,23 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 5,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.541997Z",
      "start_time": "2025-03-27T19:17:57.534379Z"
     }
    },
-   "cell_type": "code",
-   "source": [
-    "username = random_username()\n",
-    "signup_session_id, set_signup_keypad = api.generate_signup_keypad(customer_id, username)\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/markdown": [
+       "### Icon Keypad"
+      ],
       "text/plain": [
        "<IPython.core.display.Markdown object>"
-      ],
+      ]
-      "text/markdown": "### Icon Keypad"
      },
      "metadata": {},
      "output_type": "display_data"
@@ -228,10 +224,12 @@
     },
     {
      "data": {
+      "text/markdown": [
+       "### Index Keypad"
+      ],
       "text/plain": [
        "<IPython.core.display.Markdown object>"
-      ],
+      ]
-      "text/markdown": "### Index Keypad"
      },
      "metadata": {},
      "output_type": "display_data"
@@ -249,10 +247,12 @@
     },
     {
      "data": {
+      "text/markdown": [
+       "### Customer Properties Keypad"
+      ],
       "text/plain": [
        "<IPython.core.display.Markdown object>"
-      ],
+      ]
-      "text/markdown": "### Customer Properties Keypad"
      },
      "metadata": {},
      "output_type": "display_data"
@@ -269,33 +269,34 @@
      ]
     }
    ],
-   "execution_count": 5
+   "source": [
+    "username = random_username()\n",
+    "signup_session_id, set_signup_keypad = api.generate_signup_keypad(customer_id, username)\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)"
+   ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### Set nKode\n",
     "The client receives `user_icons`, `set_signup_keypad`\n"
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 6,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.582109Z",
      "start_time": "2025-03-27T19:17:57.578783Z"
     }
    },
-   "cell_type": "code",
-   "source": [
-    "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",
@@ -308,32 +309,33 @@
      ]
     }
    ],
-   "execution_count": 6
+   "source": [
+    "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}\")"
+   ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### Confirm nKode\n",
     "Submit the set key entry to render the confirm keypad."
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 7,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.846195Z",
      "start_time": "2025-03-27T19:17:57.599899Z"
     }
    },
-   "cell_type": "code",
-   "source": [
-    "confirm_keypad = api.set_nkode(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}\")\n",
-    "success = api.confirm_nkode(customer_id, selected_keys_confirm, signup_session_id)\n",
-    "assert success"
-   ],
    "outputs": [
     {
      "name": "stdout",
@@ -349,31 +351,31 @@
      ]
     }
    ],
-   "execution_count": 7
+   "source": [
+    "confirm_keypad = api.set_nkode(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}\")\n",
+    "success = api.confirm_nkode(customer_id, selected_keys_confirm, signup_session_id)\n",
+    "assert success"
+   ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
-   "source": "### Inferring an nKode selection"
+   "metadata": {},
+   "source": [
+    "### Inferring an nKode selection"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 8,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.858315Z",
      "start_time": "2025-03-27T19:17:57.855013Z"
     }
    },
-   "cell_type": "code",
-   "source": [
-    "for idx in range(passcode_len):\n",
-    "    selected_key_set = selected_keys_set[idx]\n",
-    "    selected_set_key_idx = set_signup_keypad.reshape(-1, keypad_size.numb_of_keys)[selected_key_set]\n",
-    "    print(f\"Set Key     {idx}: {user_icons[selected_set_key_idx]}\")\n",
-    "    selected_key_confirm = selected_keys_confirm[idx]\n",
-    "    selected_confirm_key_idx = confirm_keypad.reshape(-1, keypad_size.numb_of_keys)[selected_key_confirm]\n",
-    "    print(f\"Confirm Key {idx}: {user_icons[selected_confirm_key_idx]}\")\n",
-    "    print(f\"Overlapping icon {user_icons[passcode_property_indices[idx]]}\")"
-   ],
    "outputs": [
     {
      "name": "stdout",
@@ -394,11 +396,20 @@
      ]
     }
    ],
-   "execution_count": 8
+   "source": [
+    "for idx in range(passcode_len):\n",
+    "    selected_key_set = selected_keys_set[idx]\n",
+    "    selected_set_key_idx = set_signup_keypad.reshape(-1, keypad_size.numb_of_keys)[selected_key_set]\n",
+    "    print(f\"Set Key     {idx}: {user_icons[selected_set_key_idx]}\")\n",
+    "    selected_key_confirm = selected_keys_confirm[idx]\n",
+    "    selected_confirm_key_idx = confirm_keypad.reshape(-1, keypad_size.numb_of_keys)[selected_key_confirm]\n",
+    "    print(f\"Confirm Key {idx}: {user_icons[selected_confirm_key_idx]}\")\n",
+    "    print(f\"Overlapping icon {user_icons[passcode_property_indices[idx]]}\")"
+   ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "## User Cipher\n",
     "\n",
@@ -412,30 +423,30 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 9,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.879460Z",
      "start_time": "2025-03-27T19:17:57.873816Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "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": 9
   },
   {
+   "cell_type": "code",
+   "execution_count": 10,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.904749Z",
      "start_time": "2025-03-27T19:17:57.902224Z"
     }
    },
-   "cell_type": "code",
-   "source": "print(f\"Property Key:\\n{user_prop_key_keypad}\")",
    "outputs": [
     {
      "name": "stdout",
@@ -450,17 +461,19 @@
      ]
     }
    ],
-   "execution_count": 10
+   "source": [
+    "print(f\"Property Key:\\n{user_prop_key_keypad}\")"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 11,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.951642Z",
      "start_time": "2025-03-27T19:17:57.949347Z"
     }
    },
-   "cell_type": "code",
-   "source": "print(f\"Passcode Key: {user_cipher.pass_key}\")",
    "outputs": [
     {
      "name": "stdout",
@@ -470,17 +483,19 @@
      ]
     }
    ],
-   "execution_count": 11
+   "source": [
+    "print(f\"Passcode Key: {user_cipher.pass_key}\")"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 12,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:57.989194Z",
      "start_time": "2025-03-27T19:17:57.986687Z"
     }
    },
-   "cell_type": "code",
-   "source": "print(f\"Mask Key: {user_cipher.mask_key}\")",
    "outputs": [
     {
      "name": "stdout",
@@ -490,17 +505,19 @@
      ]
     }
    ],
-   "execution_count": 12
+   "source": [
+    "print(f\"Mask Key: {user_cipher.mask_key}\")"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 13,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:58.019886Z",
      "start_time": "2025-03-27T19:17:58.017350Z"
     }
    },
-   "cell_type": "code",
-   "source": "print(f\"Combined Position Key: {user_cipher.combined_position_key}\")",
    "outputs": [
     {
      "name": "stdout",
@@ -510,17 +527,19 @@
      ]
     }
    ],
-   "execution_count": 13
+   "source": [
+    "print(f\"Combined Position Key: {user_cipher.combined_position_key}\")"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 14,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:58.050384Z",
      "start_time": "2025-03-27T19:17:58.047868Z"
     }
    },
-   "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",
@@ -530,22 +549,19 @@
      ]
     }
    ],
-   "execution_count": 14
+   "source": [
+    "print(f\"User Position Key = combined_pos_key XOR customer_pos_key: {user_cipher.combined_position_key ^ customer.cipher.position_key}\")"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 15,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:58.138360Z",
      "start_time": "2025-03-27T19:17:58.135782Z"
     }
    },
-   "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",
@@ -561,11 +577,16 @@
      ]
     }
    ],
-   "execution_count": 15
+   "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}\")"
+   ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "#### Encipher Mask\n",
     "1. Get the `padded_passcode_position_indices`; padded with random position indices to equal length `max_nkode_len`.\n",
@@ -576,26 +597,26 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 16,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:58.179247Z",
      "start_time": "2025-03-27T19:17:58.176595Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "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": 16
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "#### Encipher Passcode\n",
     "1. Compute `combined_property_key`\n",
@@ -606,13 +627,15 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 17,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:58.455536Z",
      "start_time": "2025-03-27T19:17:58.212205Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "combined_prop_key = customer.cipher.property_key ^ user_cipher.property_key\n",
     "user_passcode = combined_prop_key[passcode_property_indices]\n",
@@ -621,13 +644,11 @@
     "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": 17
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### User Login\n",
     "1. Get login keypad\n",
@@ -635,22 +656,14 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 18,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:58.702891Z",
      "start_time": "2025-03-27T19:17:58.461555Z"
     }
    },
-   "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",
@@ -669,11 +682,19 @@
      ]
     }
    ],
-   "execution_count": 18
+   "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"
+   ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "## Validate Login Key Entry\n",
     "- decipher user mask and recover nkode position values\n",
@@ -682,8 +703,8 @@
    ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### Decipher Mask\n",
     "Recover nKode position values:\n",
@@ -694,13 +715,15 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 19,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:58.713231Z",
      "start_time": "2025-03-27T19:17:58.710458Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "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",
@@ -708,13 +731,11 @@
     "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"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 19
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "#### Get Presumed Properties\n",
     "- Get the passcode position indices (within the keys)\n",
@@ -722,44 +743,46 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 20,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:58.729425Z",
      "start_time": "2025-03-27T19:17:58.727025Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "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"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 20
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
-   "source": "### Compare Enciphered Passcodes\n"
+   "metadata": {},
+   "source": [
+    "### Compare Enciphered Passcodes\n"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 21,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:58.983936Z",
      "start_time": "2025-03-27T19:17:58.739679Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "valid_nkode = user.cipher.compare_nkode(presumed_property_indices, customer.cipher, user.enciphered_passcode.code)\n",
     "assert valid_nkode"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 21
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "## Renew Properties\n",
     "1. Renew Customer Keys\n",
@@ -769,13 +792,28 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 22,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:59.477909Z",
      "start_time": "2025-03-27T19:17:58.990632Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Old User Cipher and Mask\n",
+      "mask: DUY6OIJHwzgG5ajVEGKHARHM6So=, code: $2b$12$/Za40kT7mC0quZxMUWCDs.4cF.3r2meCUBEoz0EWlSKkJAMOPiJTy\n",
+      "\n",
+      "New User Cipher and Mask\n",
+      "mask: GGBaMjr+zlPhS+pmfstihUeFt6A=, code: $2b$12$wE7bq7sYd8Q58j.qKS5ASO2IMzaJ71UW/0vOYAhx7zUhURDJYIaZi\n",
+      "\n"
+     ]
+    }
+   ],
    "source": [
     "def print_user_enciphered_code():\n",
     "    mask = api.customers[customer_id].users[username].enciphered_passcode.mask\n",
@@ -791,39 +829,26 @@
     "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: DUY6OIJHwzgG5ajVEGKHARHM6So=, code: $2b$12$/Za40kT7mC0quZxMUWCDs.4cF.3r2meCUBEoz0EWlSKkJAMOPiJTy\n",
-      "\n",
-      "New User Cipher and Mask\n",
-      "mask: GGBaMjr+zlPhS+pmfstihUeFt6A=, code: $2b$12$wE7bq7sYd8Q58j.qKS5ASO2IMzaJ71UW/0vOYAhx7zUhURDJYIaZi\n",
-      "\n"
    ]
-    }
-   ],
-   "execution_count": 22
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### Renew Customer Keys\n",
     "The customer cipher keys are replaced."
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 23,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:59.490134Z",
      "start_time": "2025-03-27T19:17:59.486082Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "old_props = customer.cipher.property_key.copy()\n",
     "old_pos = customer.cipher.position_key.copy()\n",
@@ -831,13 +856,11 @@
     "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": 23
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### Intermediate Renew User\n",
     "User property and position keys go through an intermediate phase.\n",
@@ -851,13 +874,15 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 24,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:59.500256Z",
      "start_time": "2025-03-27T19:17:59.497839Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "props_xor = new_props ^ old_props\n",
     "pos_xor = new_pos ^ old_pos\n",
@@ -865,26 +890,26 @@
     "    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": 24
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### New 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."
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 25,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-27T19:17:59.752960Z",
      "start_time": "2025-03-27T19:17:59.508826Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "if user.renew:\n",
     "    user.cipher = UserCipher.create(\n",
@@ -894,30 +919,28 @@
     "    )\n",
     "    user.enciphered_passcode = user.cipher.encipher_nkode(presumed_property_indices, customer.cipher)\n",
     "    user.renew = False"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 25
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python 3 (ipykernel)",
    "language": "python",
    "name": "python3"
   },
   "language_info": {
    "codemirror_mode": {
     "name": "ipython",
-    "version": 2
+    "version": 3
    },
    "file_extension": ".py",
    "mimetype": "text/x-python",
    "name": "python",
    "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython2",
+   "pygments_lexer": "ipython3",
-   "version": "2.7.6"
+   "version": "3.10.14"
   }
  },
  "nbformat": 4,
- "nbformat_minor": 0
+ "nbformat_minor": 4
 }

notebooks/Enrollment_Login_Renewal_Simplified.ipynb

@@ -2,6 +2,18 @@
  "cells": [
   {
    "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-03-28T15:06:18.878127Z",
+     "start_time": "2025-03-28T15:06:18.874618Z"
+    },
+    "collapsed": false,
+    "jupyter": {
+     "outputs_hidden": false
+    }
+   },
+   "outputs": [],
    "source": [
     "import sys\n",
     "import os\n",
@@ -15,20 +27,11 @@
     "\n",
     "def random_username() -> str:\n",
     "    return \"test_username\" + \"\".join([choice(ascii_lowercase) for _ in range(6)])\n"
-   ],
+   ]
-   "metadata": {
-    "collapsed": false,
-    "ExecuteTime": {
-     "end_time": "2025-03-28T15:06:18.878127Z",
-     "start_time": "2025-03-28T15:06:18.874618Z"
-    }
-   },
-   "outputs": [],
-   "execution_count": 30
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "## Initialize nKode API and Create Customer\n",
     "#### nKode Customer\n",
@@ -39,6 +42,18 @@
   },
   {
    "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-03-28T15:06:18.896461Z",
+     "start_time": "2025-03-28T15:06:18.891125Z"
+    },
+    "collapsed": false,
+    "jupyter": {
+     "outputs_hidden": false
+    }
+   },
+   "outputs": [],
    "source": [
     "api = NKodeAPI()\n",
     "policy = NKodePolicy(\n",
@@ -53,20 +68,11 @@
     ")\n",
     "customer_id = api.create_new_customer(keypad_size, policy)\n",
     "customer = api.get_customer(customer_id)"
-   ],
+   ]
-   "metadata": {
-    "collapsed": false,
-    "ExecuteTime": {
-     "end_time": "2025-03-28T15:06:18.896461Z",
-     "start_time": "2025-03-28T15:06:18.891125Z"
-    }
-   },
-   "outputs": [],
-   "execution_count": 31
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "## nKode Enrollment\n",
     "Users enroll in three steps:\n",
@@ -79,72 +85,72 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 32,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-28T15:06:18.914254Z",
      "start_time": "2025-03-28T15:06:18.911798Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "username = random_username()\n",
     "signup_session_id, set_keypad = api.generate_signup_keypad(customer_id, username)"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 32
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### Set nKode\n",
     "The client receives `user_icons`, `set_signup_keypad`\n"
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 33,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-28T15:06:18.931791Z",
      "start_time": "2025-03-28T15:06:18.929028Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "passcode_len = 4\n",
     "passcode_property_indices = np.random.choice(set_keypad.reshape(-1), size=passcode_len, replace=False).tolist()\n",
     "selected_keys_set = select_keys_with_passcode_values(passcode_property_indices, set_keypad, keypad_size.numb_of_keys)"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 33
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### Confirm nKode\n",
     "The user enter then submits their key entry. The server returns the confirm_keypad, another index array and dispersion of the set_keypad."
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 34,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-28T15:06:19.247638Z",
      "start_time": "2025-03-28T15:06:18.938601Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "confirm_keypad = api.set_nkode(customer_id, selected_keys_set, signup_session_id)\n",
     "selected_keys_confirm = select_keys_with_passcode_values(passcode_property_indices, confirm_keypad, keypad_size.numb_of_keys)\n",
     "success = api.confirm_nkode(customer_id, selected_keys_confirm, signup_session_id)\n",
     "assert success"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 34
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "### User Login\n",
     "1. Get login keypad\n",
@@ -152,25 +158,25 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 35,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-28T15:06:19.559753Z",
      "start_time": "2025-03-28T15:06:19.254675Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "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",
     "success = api.login(customer_id, username, selected_keys_login)\n",
     "assert success"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 35
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "## Renew Properties\n",
     "Replace server-side ciphers keys and nkode hash with new values.\n",
@@ -180,60 +186,60 @@
    ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 36,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-28T15:06:20.181548Z",
      "start_time": "2025-03-28T15:06:19.568067Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "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",
     "assert success"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 36
   },
   {
+   "cell_type": "code",
+   "execution_count": 37,
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-03-28T15:06:20.500050Z",
      "start_time": "2025-03-28T15:06:20.194912Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "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",
     "success = api.login(customer_id, username, selected_keys_login)\n",
     "assert success"
-   ],
+   ]
-   "outputs": [],
-   "execution_count": 37
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python 3 (ipykernel)",
    "language": "python",
    "name": "python3"
   },
   "language_info": {
    "codemirror_mode": {
     "name": "ipython",
-    "version": 2
+    "version": 3
    },
    "file_extension": ".py",
    "mimetype": "text/x-python",
    "name": "python",
    "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython2",
+   "pygments_lexer": "ipython3",
-   "version": "2.7.6"
+   "version": "3.10.14"
   }
  },
  "nbformat": 4,
- "nbformat_minor": 0
+ "nbformat_minor": 4
 }

src/nkode_cipher_v2/nkode_cipher.py

@@ -0,0 +1,128 @@
+import base64
+import hashlib
+from dataclasses import dataclass
+import bcrypt
+import numpy as np
+from src.models import EncipheredNKode, KeypadSize
+
+@dataclass
+class NKodeCipher:
+    property_key: np.ndarray
+    position_key: np.ndarray
+    pass_key: np.ndarray
+    mask_key: np.ndarray
+    keypad_size: KeypadSize
+    max_nkode_len: int
+
+    @classmethod
+    def create(cls, keypad_size: KeypadSize, max_nkode_len: int) -> 'NKodeCipher':
+        return NKodeCipher(
+            property_key=np.random.choice(2 ** 16, size=keypad_size.total_props, replace=False),
+            pass_key=np.random.choice(2 ** 16, size=max_nkode_len, replace=False),
+            mask_key=np.random.choice(2**16, size=max_nkode_len, replace=False),
+            position_key= np.random.choice(2**16,size=keypad_size.props_per_key, replace=False),
+            max_nkode_len=max_nkode_len,
+            keypad_size=keypad_size,
+        )
+
+    def get_props_position_vals(self, props: np.ndarray | list[int]) -> np.ndarray:
+        if not all([prop in self.property_key for prop in props]):
+            raise ValueError("Property values must be within valid range")
+        pos_vals = [self._get_prop_position_val(prop) for prop in props]
+        return np.array(pos_vals)
+
+    def _get_prop_position_val(self, prop: int) -> int:
+        assert prop in self.property_key
+        prop_idx = np.where(self.property_key == prop)[0][0]
+        pos_idx = prop_idx % self.keypad_size.props_per_key
+        return int(self.position_key[pos_idx])
+
+    def pad_user_mask(self, user_mask: np.ndarray, pos_vals: np.ndarray) -> np.ndarray:
+        # TODO: replace with new method
+        if len(user_mask) >= self.max_nkode_len:
+            raise ValueError("User encoded_mask is too long")
+        padding_size = self.max_nkode_len - len(user_mask)
+        padding = np.random.choice(pos_vals, size=padding_size, replace=True).astype(np.uint16)
+        return np.concatenate([user_mask, padding])
+
+    @staticmethod
+    def encode_base64_str(data: np.ndarray) -> str:
+        return base64.b64encode( b"".join([int(num).to_bytes(2, byteorder='big') for num in data])).decode("utf-8")
+
+    @staticmethod
+    def decode_base64_str(data: str) -> np.ndarray:
+        byte_data = base64.b64decode(data)
+        int_list = []
+        for i in range(0, len(byte_data), 2):
+            int_val = int.from_bytes(byte_data[i:i + 2], byteorder='big')
+            int_list.append(int_val)
+        return np.array(int_list, dtype=np.uint16)
+
+    def encipher_nkode(
+            self,
+            passcode_prop_idx: list[int],
+    ) -> EncipheredNKode:
+        mask = self.encipher_mask(passcode_prop_idx)
+        code = self.hash_nkode(passcode_prop_idx)
+        return EncipheredNKode(
+            code=code,
+            mask=mask
+        )
+
+    def hash_nkode(
+            self,
+            passcode_prop_idx: list[int],
+    ) -> str:
+        salt = bcrypt.gensalt(rounds=12)
+        passcode_bytes = self.prehash_passcode(passcode_prop_idx)
+        passcode_digest = base64.b64encode(hashlib.sha256(passcode_bytes).digest())
+        hashed_data = bcrypt.hashpw(passcode_digest, salt)
+        return hashed_data.decode("utf-8")
+
+    def compare_nkode(
+            self,
+            passcode_prop_idx: list[int],
+            hashed_passcode: str
+    ) -> bool:
+        passcode_bytes = self.prehash_passcode(passcode_prop_idx)
+        passcode_digest = base64.b64encode(hashlib.sha256(passcode_bytes).digest())
+        return bcrypt.checkpw(passcode_digest, hashed_passcode.encode('utf-8'))
+
+    def prehash_passcode(
+            self,
+            passcode_prop_idx: list[int],
+    ) -> bytes:
+        passcode_len = len(passcode_prop_idx)
+        passcode_cipher = self.pass_key.copy()
+        passcode_cipher[:passcode_len] = (
+                passcode_cipher[:passcode_len] ^
+                self.property_key[passcode_prop_idx]
+        )
+        return passcode_cipher.astype(np.uint16).tobytes()
+
+    def get_passcode_position_indices_padded(self, passcode_indices: list[int]) -> list[int]:
+        pos_indices = [idx % self.keypad_size.props_per_key for idx in passcode_indices]
+        pad_len = self.max_nkode_len - len(passcode_indices)
+        pad = np.random.choice(self.keypad_size.props_per_key, pad_len, replace=True)
+        return pos_indices +  pad.tolist()
+
+    def encipher_mask(
+            self,
+            passcode_prop_idx: list[int],
+    ) -> str:
+        pos_idxs = self.get_passcode_position_indices_padded(passcode_prop_idx)
+        ordered_pos_key = self.position_key[pos_idxs]
+        mask = ordered_pos_key ^ self.mask_key
+        encoded_mask = self.encode_base64_str(mask)
+        return encoded_mask
+
+    def decipher_mask(self, encoded_mask: str, passcode_len: int) -> list[int]:
+        mask = self.decode_base64_str(encoded_mask)
+        # user_pos_key ordered by the user's nkode and padded to be length max_nkode_len
+        ordered_user_pos_key = mask  ^ self.mask_key
+        passcode_position = []
+        for position_val in ordered_user_pos_key[:passcode_len]:
+            position_idx = np.where(self.position_key == position_val)[0][0]
+            passcode_position.append(int(self.position_key[position_idx]))
+        return passcode_position
+

test/test_nkode_cipher_keys.py

@@ -0,0 +1,37 @@
+import numpy as np
+import pytest
+from src.models import KeypadSize
+from src.nkode_cipher_v2.nkode_cipher import NKodeCipher
+
+
+@pytest.mark.parametrize(
+    "passcode_len",
+    [
+        6
+    ]
+)
+def test_encode_decode_base64(passcode_len):
+    data = np.random.choice(2**16, passcode_len, replace=False)
+    encoded = NKodeCipher.encode_base64_str(data)
+    decoded = NKodeCipher.decode_base64_str(encoded)
+    assert (len(data) == len(decoded))
+    assert (all(data[idx] == decoded[idx] for idx in range(passcode_len)))
+
+
+@pytest.mark.parametrize(
+    "keypad_size,max_nkode_len",
+    [
+        (KeypadSize(numb_of_keys=10, props_per_key=11), 10),
+        (KeypadSize(numb_of_keys=9, props_per_key=11), 10),
+        (KeypadSize(numb_of_keys=8, props_per_key=11), 12),
+    ])
+def test_decode_mask(keypad_size, max_nkode_len):
+    passcode_entry = np.random.choice(keypad_size.total_props, 4, replace=False)
+    user_keys = NKodeCipher.create(keypad_size, max_nkode_len)
+    passcode_values = [user_keys.property_key[idx] for idx in passcode_entry]
+    enciphered = user_keys.encipher_nkode(passcode_entry)
+    orig_passcode_pos_vals = user_keys.get_props_position_vals(passcode_values)
+    passcode_pos_vals = user_keys.decipher_mask(enciphered.mask, len(passcode_entry))
+    assert (len(passcode_pos_vals) == len(orig_passcode_pos_vals))
+    assert (all(orig_passcode_pos_vals[idx] == passcode_pos_vals[idx] for idx in range(len(passcode_pos_vals))))
+    assert(user_keys.compare_nkode(passcode_entry, enciphered.code))