diff --git a/docs/nkode_authentication_template.md b/docs/nkode_authentication_template.md index 52b0a27..ae7a32c 100644 --- a/docs/nkode_authentication_template.md +++ b/docs/nkode_authentication_template.md @@ -2,9 +2,9 @@ Play around with the code in [this](http://sesolgit/Repository/Blob/92a60227-4ef9-4196-8ebb-595581abf98c?encodedName=main&encodedPath=nkode_tutorial.ipynb) jupyter notebook. ## Customer Creation -Before creating a user, a customer generates random attributes and set +Before creating a user, a customer generates random properties and set values. The customers manage users. They define an nKode policy, keypad's dimensions, -attributes/sets in the keypad, and the frequency of attribute renewal. +properties/sets in the keypad, and the frequency of property renewal. ### nKode Policy and Keypad Size An nKode policy defines: The keypad size defines: -To be [dispersion](nkode_concepts.md/#dispersion-resistant-interface) resistant, the number of attributes must be greater than the number of keys. +To be [dispersion](nkode_concepts.md/#dispersion-resistant-interface) resistant, the number of properties must be greater than the number of keys. ``` api = NKodeAPI() @@ -30,7 +30,7 @@ policy = NKodePolicy( max_nkode_len=10, min_nkode_len=4, distinct_sets=0, - distinct_attributes=4, + distinct_properties=4, byte_len=2 ) @@ -42,36 +42,36 @@ keypad_size = KeypadSize( customer_id = api.create_new_customer(keypad_size, policy) customer = api.customers[customer_id] ``` -### Customer Attributes and Sets -A customer has users and defines the attributes and set values for all its users. -Since our customer has {{ keypad_size.numb_of_keys }} keys and {{ keypad_size.props_per_key }} attributes per key, -this gives a customer interface of {{ keypad_size.numb_of_props }} distinct attributes and {{ keypad_size.props_per_key }} distinct attribute sets. -Each attribute belongs to one of the {{ keypad_size.props_per_key }} sets. Each attribute and set value is a unique 2-byte integer in this example. +### Customer properties and Sets +A customer has users and defines the properties and set values for all its users. +Since our customer has {{ keypad_size.numb_of_keys }} keys and {{ keypad_size.props_per_key }} properties per key, +this gives a customer interface of {{ keypad_size.numb_of_props }} distinct properties and {{ keypad_size.props_per_key }} distinct property sets. +Each property belongs to one of the {{ keypad_size.props_per_key }} sets. Each property and set value is a unique 2-byte integer in this example. ``` -set_vals = customer.attributes.set_vals +set_vals = customer.cipher.set_key Customer Sets: {{ customer_set_vals }} ``` ``` -attr_vals = customer.attributes.attr_vals -keypad_view(attr_vals, keypad_size.props_per_key) +prop_vals = customer.cipher.prop_key +keypad_view(prop_vals, keypad_size.props_per_key) -Customer Attributes: -{% for attrs in customer_attr_view -%} -{{ attrs }} +Customer properties: +{% for props in customer_prop_view -%} +{{ props }} {% endfor %} ``` -Attributes organized by set: +properties organized by set: ``` -attr_set_view = matrix_transpose(attr_keypad_view) -set_attribute_dict = dict(zip(set_vals, attr_set_view)) +prop_set_view = matrix_transpose(prop_keypad_view) +set_property_dict = dict(zip(set_vals, prop_set_view)) -Set to Attribute Map: -{% for set_val, attrs in set_attribute_dict.items() -%} -{{ set_val }} : {{ attrs }} +Set to property Map: +{% for set_val, props in set_property_dict.items() -%} +{{ set_val }} : {{ props }} {% endfor %} ``` @@ -83,12 +83,12 @@ Now that we have a customer, we can create users. To create a new user: 3. The user confirms their nKode. If the user's nKode matches the policy, the server creates the user. ### Random Interface Generation The user's interface must be dispersable so the server can determine the user's nkode. -The server randomly drops attribute sets until -the number of attributes equals the number of keys, making the interface dispersable. -In our case, the server randomly drops {{ keypad_size.props_per_key - keypad_size.numb_of_keys }} attribute {{ "sets" if keypad_size.props_per_key - keypad_size.numb_of_keys > 1 else "set" }}. +The server randomly drops property sets until +the number of properties equals the number of keys, making the interface dispersable. +In our case, the server randomly drops {{ keypad_size.props_per_key - keypad_size.numb_of_keys }} property {{ "sets" if keypad_size.props_per_key - keypad_size.numb_of_keys > 1 else "set" }}. to give us a {{ keypad_size.numb_of_keys }} X {{ keypad_size.numb_of_keys }} keypad with possible index values ranging from 0-{{ keypad_size.numb_of_props - 1 }}. -Each value in the interface is the index value of a customer attribute. -The user never learns what their "real" attribute is. They do not see the index value representing their nKode or +Each value in the interface is the index value of a customer property. +The user never learns what their "real" property is. They do not see the index value representing their nKode or the customer server-side value. ``` @@ -102,9 +102,9 @@ Key {{ loop.index }}: {{ key }} ``` ### Set nKode -The user identifies attributes in the interface they want in their nkode. Each attribute has an index value. +The user identifies properties in the interface they want in their nkode. Each property has an index value. Below, the user has selected `{{ user_passcode }}`. These index values can be represented by anything in the GUI. -The only requirement is that the GUI attributes be associated with the same index every time the user logs in. +The only requirement is that the GUI properties be associated with the same index every time the user logs in. If users want to change anything about their interface, they must also change their nkode. ``` @@ -116,11 +116,11 @@ Selected Keys {{ selected_keys_set }} ``` -The user's passcode server side attributes are: +The user's passcode server side properties are: ``` -server_side_attr = [customer.attributes.attr_vals[idx] for idx in user_passcode] +server_side_prop = [customer.cipher.prop_key[idx] for idx in user_passcode] -User Passcode Server-side Attributes: {{ server_side_attr }} +User Passcode Server-side properties: {{ server_side_prop }} ``` ### Confirm nKode @@ -149,7 +149,7 @@ success = api.confirm_nkode(username, customer_id, selected_keys_confirm, sessio When a new user creates an nKode, the server caches its set and confirms the interface and the user's key selection. On the last api.confirm_nkode, the server: -1. Deduces the user's attributes +1. Deduces the user's properties 2. Validates the Passcode against the nKodePolicy 3. Creates new User Cipher Keys 4. Enciphers the user's mask @@ -162,7 +162,7 @@ Steps 1-2 are straightforward. For a better idea of how they work, see pyNKode. ##### User Cipher Keys Data Structure ``` set_key = generate_random_nonrepeating_list(keypad_size.props_per_key, max_numb=2**(8*numb_of_bytes)) -set_key = xor_lists(set_key, customer_attr.set_vals) +set_key = xor_lists(set_key, customer_prop.set_vals) UserCipherKeys( prop_key=generate_random_nonrepeating_list(keypad_size.props_per_key * keypad_size.numb_of_keys, max_numb=2**(8*numb_of_bytes)), @@ -211,17 +211,17 @@ Recall: ``` passcode = {{ user_passcode }} -passcode_server_attr = [customer.attributes.attr_vals[idx] for idx in passcode] -passcode_server_set = [customer.attributes.get_attr_set_val(attr) for attr in passcode_server_attr] +passcode_server_prop = [customer.cipher.prop_key[idx] for idx in passcode] +passcode_server_set = [customer.cipher.get_prop_set_val(prop) for prop in passcode_server_prop] -Passcode Set Vals: {{ passcode_server_attr }} -Passcode Attr Vals: {{ passcode_server_set }} +Passcode Set Vals: {{ passcode_server_prop }} +Passcode prop Vals: {{ passcode_server_set }} ``` ``` padded_passcode_server_set = user_cipher.pad_user_mask(passcode_server_set, customer.nkode_policy.max_nkode_len) -set_idx = [customer.attributes.get_set_index(set_val) for set_val in padded_passcode_server_set] +set_idx = [customer.cipher.get_set_index(set_val) for set_val in padded_passcode_server_set] mask_set_keys = [user_cipher.set_key[idx] for idx in set_idx] ciphered_mask = xor_lists(mask_set_keys, padded_passcode_server_set) @@ -233,18 +233,18 @@ Mask: {{ enciphered_nkode.mask }} #### Passcode Enciphering and Hashing -- ciphered_customer_attr = prop_key ^ customer_attr -- ciphered_passcode_i = pass_key_i ^ ciphered_customer_attr_i +- ciphered_customer_prop = prop_key ^ customer_prop +- ciphered_passcode_i = pass_key_i ^ ciphered_customer_prop_i - code = hash(ciphered_passcode, salt) ``` -ciphered_customer_attrs = xor_lists(customer.attributes.attr_vals, user_cipher.prop_key) -passcode_ciphered_attrs = [ciphered_customer_attrs[idx] for idx in passcode] +ciphered_customer_props = xor_lists(customer.cipher.prop_key, user_cipher.prop_key) +passcode_ciphered_props = [ciphered_customer_props[idx] for idx in passcode] pad_len = customer.nkode_policy.max_nkode_len - passcode_len -passcode_ciphered_attrs.extend([0 for _ in range(pad_len)]) +passcode_ciphered_props.extend([0 for _ in range(pad_len)]) -ciphered_code = xor_lists(passcode_ciphered_attrs, user_cipher.pass_key) +ciphered_code = xor_lists(passcode_ciphered_props, user_cipher.pass_key) passcode_bytes = int_array_to_bytes(ciphered_code) passcode_digest = base64.b64encode(hashlib.sha256(passcode_bytes).digest()) @@ -281,8 +281,8 @@ success = api.login(customer_id, username, selected_keys_login) ### Validate Login Key Entry - decipher user mask and recover nkode set values -- get presumed attribute from key selection and set values -- encipher, salt, and hash presumed attribute values and compare them to the users hashed code +- get presumed property from key selection and set values +- encipher, salt, and hash presumed property values and compare them to the users hashed code #### Decipher Mask @@ -315,96 +315,96 @@ Passcode Sets: {{ login_passcode_sets }} ``` -### Get Presumed Attributes +### Get Presumed properties ``` -set_vals_idx = [customer.attributes.get_set_index(set_val) for set_val in passcode_sets] +set_vals_idx = [customer.cipher.get_set_index(set_val) for set_val in passcode_sets] -presumed_selected_attributes_idx = [] +presumed_selected_properties_idx = [] for idx in range(passcode_len): key_numb = selected_keys_login[idx] set_idx = set_vals_idx[idx] - selected_attr_idx = customer.users[username].user_interface.get_attr_idx_by_keynumb_setidx(key_numb, set_idx) - presumed_selected_attributes_idx.append(selected_attr_idx) + selected_prop_idx = customer.users[username].user_interface.get_prop_idx_by_keynumb_setidx(key_numb, set_idx) + presumed_selected_properties_idx.append(selected_prop_idx) -Presumped Passcode: {{ presumed_selected_attributes_idx }} +Presumped Passcode: {{ presumed_selected_properties_idx }} Recall User Passcode: {{ user_passcode }} ``` ### Compare Enciphered Passcodes ``` -enciphered_nkode = user_cipher.encipher_salt_hash_code(presumed_selected_attributes_idx, customer.attributes) +enciphered_nkode = user_cipher.encipher_salt_hash_code(presumed_selected_properties_idx, customer.cipher) ``` If `enciphered_nkode == user.enciphered_passcode.code`, the user's key selection is valid, and the login is successful. -## Renew Attributes -Attributes renew is invoked with the renew_attributes method: `api.renew_attributes(customer_id)` -The renew attributes process has three steps: -1. Renew Customer Attributes +## Renew properties +properties renew is invoked with the renew_properties method: `api.renew_properties(customer_id)` +The renew properties process has three steps: +1. Renew Customer properties 2. Renew User Keys 3. Refresh User on Login -When the customer calls the `renew_attributes` method, the method replaces the customer's attributes and set values. All its users go through an intermediate +When the customer calls the `renew_properties` method, the method replaces the customer's properties and set values. All its users go through an intermediate renewal step. The users fully renew after their first successful login. This first login refreshes their keys, salt, and hash with new values. ### Customer Renew -Old Customer attributes and set values are cached and copied to variables before renewal. +Old Customer properties and set values are cached and copied to variables before renewal. ``` -old_sets = customer.attributes.set_vals +old_sets = customer.cipher.set_key Customer Sets: {{ customer_set_vals }} ``` ``` -old_attr = customer.attributes.attr_vals +old_prop = customer.cipher.prop_key -Customer Attributes: -{% for attrs in customer_attr_view -%} -{{ attrs }} +Customer properties: +{% for props in customer_prop_view -%} +{{ props }} {% endfor %} ``` -After the renewal, the customer attributes and sets are new randomly generated values. +After the renewal, the customer properties and sets are new randomly generated values. ``` -api.renew_attributes(customer_id) +api.renew_properties(customer_id) -set_vals = customer.attributes.set_vals +set_vals = customer.cipher.set_key Customer Sets: {{ customer_new_set_vals }} ``` ``` -attr_vals = customer.attributes.attr_vals +prop_vals = customer.cipher.prop_key -Customer Attributes: -{% for attrs in customer_new_attr_view -%} -{{ attrs }} +Customer properties: +{% for props in customer_new_prop_view -%} +{{ props }} {% endfor %} ``` ### Renew User During the renewal, each user goes through a temporary transition period. ``` -attrs_xor = xor_lists(new_attrs, old_attrs) +props_xor = xor_lists(new_props, old_props) sets_xor = xor_lists(new_sets, old_sets) for user in customer.users.values(): user.renew = True user.user_cipher.set_key = xor_lists(user.user_cipher.set_key, sets_xor) - user.user_cipher.prop_key = xor_lists(user.user_cipher.prop_key, attrs_xor) + user.user_cipher.prop_key = xor_lists(user.user_cipher.prop_key, props_xor) ``` ##### User prop Key -The user's prop key was a randomly generated list of length `numb_of_keys * attr_per_key`. -Now each value in the prop key is `prop_key_i = old_prop_key_i ^ new_attr_i ^ old_attr_i`. -Recall in the login process, `ciphered_customer_attrs = prop_key ^ customer_attr`. -Since the customer_attr is now the new value, it gets canceled out, leaving: +The user's prop key was a randomly generated list of length `numb_of_keys * prop_per_key`. +Now each value in the prop key is `prop_key_i = old_prop_key_i ^ new_prop_i ^ old_prop_i`. +Recall in the login process, `ciphered_customer_props = prop_key ^ customer_prop`. +Since the customer_prop is now the new value, it gets canceled out, leaving: ``` -new_prop_key = old_prop_key ^ old_attr ^ new_attr -ciphered_customer_attrs = new_prop_key ^ new_attr -ciphered_customer_attrs = old_prop_key ^ old_attr # since new_attr cancel out +new_prop_key = old_prop_key ^ old_prop ^ new_prop +ciphered_customer_props = new_prop_key ^ new_prop +ciphered_customer_props = old_prop_key ^ old_prop # since new_prop cancel out ``` -Using the new customer attributes, we can validate the user's login attempt with the same hash. +Using the new customer properties, we can validate the user's login attempt with the same hash. ##### User Set Key -The user's set key was a randomly generated list of length `attr_per_key` xor `customer_set_vals`. +The user's set key was a randomly generated list of length `prop_per_key` xor `customer_set_vals`. The `old_set_vals` have been replaced with the new `new_set_vals`. The deciphering process described above remains the same. @@ -413,10 +413,10 @@ Once the user has a successful login, they get a new salt and cipher keys, and t with the new values. ``` user.user_cipher = UserCipherKeys.new( - customer.attributes.keypad_size, - customer.attributes.set_vals, + customer.cipher.keypad_size, + customer.cipher.set_key, user.user_cipher.max_nkode_len ) -user.enciphered_passcode = user.user_cipher.encipher_nkode(presumed_selected_attributes_idx, customer.attributes) +user.enciphered_passcode = user.user_cipher.encipher_nkode(presumed_selected_properties_idx, customer.cipher) user.renew = False ``` diff --git a/docs/render_markdown.py b/docs/render_markdown.py index 90df4b3..9472500 100644 --- a/docs/render_markdown.py +++ b/docs/render_markdown.py @@ -15,9 +15,9 @@ def random_username() -> str: return "test_username" + "".join([choice(ascii_lowercase) for _ in range(6)]) -def select_keys_with_passcode_values(user_passcode: list[int], keypad: np.ndarray, attrs_per_key: int) -> list[int]: - indices = [np.where(keypad == attr)[0][0] for attr in user_passcode] - return [int(index // attrs_per_key) for index in indices] +def select_keys_with_passcode_values(user_passcode: list[int], keypad: np.ndarray, props_per_key: int) -> list[int]: + indices = [np.where(keypad == prop)[0][0] for prop in user_passcode] + return [int(index // props_per_key) for index in indices] def visualize_keypad(keypad_list: np.ndarray, props_per_key: int): @@ -64,12 +64,12 @@ if __name__ == "__main__": customer = api.customers[customer_id] set_vals = customer.cipher.set_key - attr_vals = customer.cipher.prop_key - customer_attr_view = attr_vals.reshape(-1, keypad_size.props_per_key) + prop_vals = customer.cipher.prop_key + customer_prop_view = prop_vals.reshape(-1, keypad_size.props_per_key) - attr_keypad_view = attr_vals.reshape(-1, keypad_size.props_per_key) - attr_set_view = attr_keypad_view.T - set_attribute_dict = dict(zip(set_vals, attr_set_view)) + prop_keypad_view = prop_vals.reshape(-1, keypad_size.props_per_key) + prop_set_view = prop_keypad_view.T + set_property_dict = dict(zip(set_vals, prop_set_view)) session_id, signup_interface = api.generate_signup_keypad(customer_id) signup_keypad = signup_interface.reshape(-1, keypad_size.numb_of_keys) @@ -78,7 +78,7 @@ if __name__ == "__main__": passcode_len = 4 user_passcode = signup_interface[:passcode_len].tolist() selected_keys_set = select_keys_with_passcode_values(user_passcode, signup_interface, keypad_size.numb_of_keys) - server_side_attr = [customer.cipher.prop_key[idx] for idx in user_passcode] + server_side_prop = [customer.cipher.prop_key[idx] for idx in user_passcode] confirm_interface = api.set_nkode(username, customer_id, selected_keys_set, session_id) @@ -88,8 +88,8 @@ if __name__ == "__main__": success = api.confirm_nkode(username, customer_id, selected_keys_confirm, session_id) assert success - passcode_server_attr = [customer.cipher.prop_key[idx] for idx in user_passcode] - passcode_server_set = [customer.cipher.get_prop_set_val(attr) for attr in passcode_server_attr] + passcode_server_prop = [customer.cipher.prop_key[idx] for idx in user_passcode] + passcode_server_set = [customer.cipher.get_prop_set_val(prop) for prop in passcode_server_prop] user_keys = customer.users[username].cipher @@ -100,14 +100,12 @@ if __name__ == "__main__": ciphered_mask = np.bitwise_xor(mask_set_keys, padded_passcode_server_set) ciphered_mask = np.bitwise_xor(ciphered_mask, user_keys.mask_key) mask = user_keys.encode_base64_str(ciphered_mask) - #ciphered_customer_attrs = xor_lists(customer.cipher.prop_key, user_keys.prop_key) - ciphered_customer_attrs = np.bitwise_xor(customer.cipher.prop_key, user_keys.prop_key) - passcode_ciphered_attrs = [ciphered_customer_attrs[idx] for idx in user_passcode] + #ciphered_customer_props = xor_lists(customer.cipher.prop_key, user_keys.prop_key) + ciphered_customer_props = np.bitwise_xor(customer.cipher.prop_key, user_keys.prop_key) + passcode_ciphered_props = [ciphered_customer_props[idx] for idx in user_passcode] pad_len = customer.nkode_policy.max_nkode_len - passcode_len - passcode_ciphered_attrs.extend([0 for _ in range(pad_len)]) - #ciphered_code = xor_lists(passcode_ciphered_attrs, user_keys.pass_key) - ciphered_code = np.bitwise_xor(passcode_ciphered_attrs, user_keys.pass_key) - #passcode_bytes = int_array_to_bytes(ciphered_code) + passcode_ciphered_props.extend([0 for _ in range(pad_len)]) + ciphered_code = np.bitwise_xor(passcode_ciphered_props, user_keys.pass_key) passcode_bytes = ciphered_code.tobytes() passcode_digest = base64.b64encode(hashlib.sha256(passcode_bytes).digest()) hashed_data = bcrypt.hashpw(passcode_digest, user_keys.salt) @@ -144,37 +142,37 @@ if __name__ == "__main__": login_passcode_sets.append(int(set_vals[set_idx])) """ - GET PRESUMED ATTRIBUTES + GET PRESUMED properties """ set_vals_idx = [customer.cipher.get_set_index(set_val) for set_val in login_passcode_sets] - presumed_selected_attributes_idx = [] + presumed_selected_properties_idx = [] for idx in range(passcode_len): key_numb = selected_keys_login[idx] set_idx = set_vals_idx[idx] - selected_attr_idx = customer.users[username].user_keypad.get_prop_idx_by_keynumb_setidx(key_numb, set_idx) - presumed_selected_attributes_idx.append(selected_attr_idx) + selected_prop_idx = customer.users[username].user_keypad.get_prop_idx_by_keynumb_setidx(key_numb, set_idx) + presumed_selected_properties_idx.append(selected_prop_idx) """ RENEW KEYS """ - old_attrs = customer.cipher.prop_key.copy() + old_props = customer.cipher.prop_key.copy() old_sets = customer.cipher.set_key.copy() customer.cipher.renew() - new_attrs = customer.cipher.prop_key + new_props = customer.cipher.prop_key new_sets = customer.cipher.set_key - customer_new_attr_view = new_attrs.reshape(-1, keypad_size.props_per_key) + customer_new_prop_view = new_props.reshape(-1, keypad_size.props_per_key) """ RENEW USER """ - attrs_xor = np.bitwise_xor(new_attrs, old_attrs) + props_xor = np.bitwise_xor(new_props, old_props) sets_xor = np.bitwise_xor(new_sets, old_sets) for user in customer.users.values(): user.renew = True user.cipher.set_key = np.bitwise_xor(user.cipher.set_key, sets_xor) - user.cipher.prop_key = np.bitwise_xor(user.cipher.prop_key, attrs_xor) + user.cipher.prop_key = np.bitwise_xor(user.cipher.prop_key, props_xor) """ REFRESH USER KEYS @@ -184,31 +182,31 @@ if __name__ == "__main__": customer.cipher.set_key, user.cipher.max_nkode_len ) - user.enciphered_passcode = user.cipher.encipher_nkode(presumed_selected_attributes_idx, customer.cipher) + user.enciphered_passcode = user.cipher.encipher_nkode(presumed_selected_properties_idx, customer.cipher) user.renew = False # Define some data to pass to the template data = { 'keypad_size': keypad_size, 'customer_set_vals': set_vals, - 'customer_attr_view': customer_attr_view, - 'set_attribute_dict': set_attribute_dict, + 'customer_prop_view': customer_prop_view, + 'set_property_dict': set_property_dict, 'signup_keypad': signup_keypad, 'username': 'test_user', 'user_passcode': user_passcode, 'selected_keys_set': selected_keys_set, - 'server_side_attr': server_side_attr, + 'server_side_prop': server_side_prop, 'confirm_keypad': confirm_keypad, 'selected_keys_confirm': selected_keys_confirm, 'user_cipher': user_keys, - 'passcode_server_attr': passcode_server_attr, + 'passcode_server_prop': passcode_server_prop, 'passcode_server_set': passcode_server_set, 'enciphered_nkode': enciphered_nkode, 'login_keypad': login_keypad, 'selected_login_keys': selected_keys_login, 'login_passcode_sets': login_passcode_sets, - 'presumed_selected_attributes_idx': presumed_selected_attributes_idx, - 'customer_new_attr_view': customer_new_attr_view, + 'presumed_selected_properties_idx': presumed_selected_properties_idx, + 'customer_new_prop_view': customer_new_prop_view, 'customer_new_set_vals': new_sets, } diff --git a/notebooks/dispersion_tutorial.ipynb b/notebooks/dispersion_tutorial.ipynb index 0ac3434..dca29ea 100644 --- a/notebooks/dispersion_tutorial.ipynb +++ b/notebooks/dispersion_tutorial.ipynb @@ -26,16 +26,16 @@ "\n", " for key in range(keypad_size.numb_of_keys):\n", " table += f\"\\n|key{key+1}|\"\n", - " table += \"|\".join([str(attr) for attr in keypad[key]])\n", + " table += \"|\".join([str(prop) for prop in keypad[key]])\n", " table += \"|\"\n", " return table\n", "\n", "\n", "keypad_size = KeypadSize(numb_of_keys=5, props_per_key=4)\n", - "attrs = [1, 10, 11, 100]\n", + "props = [1, 10, 11, 100]\n", "keypad = []\n", "for key_numb in range(1,keypad_size.numb_of_keys+1):\n", - " keypad.extend([key_numb * attr for attr in attrs])\n", + " keypad.extend([key_numb * prop for prop in props])\n", "\n", "demo_interface = UserKeypad(keypad_size=keypad_size, keypad=np.array(keypad))\n", "\n",