<\/p>\n\n\n\n
Author: Denys Pavlovych Sukhachev<\/p>\n\n\n\n
<\/p>\n\n\n\n
\nThis is a work, and the author’s right to a work is protected by international law. The author’s ownership of the work begins from the moment the work is created.<\/p>\n<\/blockquote>\n\n\n\n
Concept:<\/p>\n\n\n\n
I understand your idea of creating an innovative 3D encryption system with distributed access elements. Let’s create a prototype of such a system in Python, using the capabilities of the GPU to process 3D geometry.<\/p>\n\n\n\n“`python<\/p>\n\n\n\n
import numpy as np<\/p>\n\n\n\n
import numpy.random as npr<\/p>\n\n\n\n
import hashlib<\/p>\n\n\n\n
from cryptography.fernet import Fernet<\/p>\n\n\n\n
from cryptography.hazmat.primitives import hashes<\/p>\n\n\n\n
from cryptography.hazmat.primitives.asymmetric import rsa, padding<\/p>\n\n\n\n
from cryptography.hazmat.primitives.kdf.pbkdf2 import PBKDF2HMAC<\/p>\n\n\n\n
from cryptography.hazmat.primitives.ciphers import Cipher, algorithms, modes<\/p>\n\n\n\n
import base64<\/p>\n\n\n\n
import cupy as cp # To work with the GPU<\/p>\n\n\n\n
from dataclasses import dataclass<\/p>\n\n\n\n
import json<\/p>\n\n\n\n
@dataclass<\/p>\n\n\n\n
class Point3D:<\/p>\n\n\n\n
x: float<\/p>\n\n\n\n
y: float<\/p>\n\n\n\n
z: float<\/p>\n\n\n\n
value: int<\/p>\n\n\n\n
class SpatialEncryption:<\/p>\n\n\n\n
def __init__(self, space_dimensions=(100, 100, 100)):<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
Initialize the spatial encryption system<\/p>\n\n\n\n
:param space_dimensions: 3D space dimensions (x, y, z)<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
self.dimensions = space_dimensions<\/p>\n\n\n\n
self.private_key = rsa.generate_private_key(<\/p>\n\n\n\n
public_exponent=65537,<\/p>\n\n\n\n
key_size=2048<\/p>\n\n\n\n
)<\/p>\n\n\n\n
self.public_key = self.private_key.public_key()<\/p>\n\n\n\n
def _generate_spatial_mask(self, seed):<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
Generating a spatial mask based on seed<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
npr.seed(seed)<\/p>\n\n\n\n
return np.random.random(*self.dimensions)<\/p>\n\n\n\n
def _data_to_points(self, data: bytes) -> list[Point3D]:<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
Convert data to 3D points<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
points = []<\/p>\n\n\n\n
# Use SHA-256 to create initial coordinates<\/p>\n\n\n\n
hasher = hashlib.sha256(data)<\/p>\n\n\n\n
seed = int.from_bytes(hasher.digest()[:8], ‘big’)<\/p>\n\n\n\n
npr.seed(seed)<\/p>\n\n\n\n
# Convert each byte of data to a point<\/p>\n\n\n\n
for i, byte in enumerate(data):<\/p>\n\n\n\n
x = npr.randomint(0, self.dimensions[0])<\/p>\n\n\n\n
y = npr.randomint(0, self.dimensions[1])<\/p>\n\n\n\n
z = npr.randomint(0, self.dimensions[2])<\/p>\n\n\n\n
points.append(Point3D(x, y, z, byte))<\/p>\n\n\n\n
return points<\/p>\n\n\n\n
def _points_to_volume(self, points: list[Point3D]) -> cp.ndarray:<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
Convert points to 3D volume (on GPU)<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
# Create an empty volume on the GPU<\/p>\n\n\n\n
volume = cp.zeros(self.dimensions, dtype=cp.uint8)<\/p>\n\n\n\n
# Fill the volume with points<\/p>\n\n\n\n
for point in points:<\/p>\n\n\n\n
volume[point.x, point.y, point.z] = point.value<\/p>\n\n\n\n
return volume<\/p>\n\n\n\n
def generate_access_key(self, user_id: str, permissions: list) -> str:<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
Generate an access key for the user<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
key_data = {<\/p>\n\n\n\n
‘user_id’: ‘user_id’,<\/p>\n\n\n\n
‘permissions’: permissions,<\/p>\n\n\n\n
‘timestamp’: str(np.datetime64(‘now’))<\/p>\n\n\n\n
}<\/p>\n\n\n\n
# Encrypt the key data<\/p>\n\n\n\n
key_bytes = json.dumps(key_data).encode()<\/p>\n\n\n\n
encrypted_key = self.public_key.encrypt(<\/p>\n\n\n\n
key_bytes,<\/p>\n\n\n\n
padding.OAEP(<\/p>\n\n\n\n
mgf=padding.MGF1(algorithm=hashes.SHA256()),<\/p>\n\n\n\n
algorithm=hashes.SHA256(),<\/p>\n\n\n\n
label= None<\/p>\n\n\n\n
)<\/p>\n\n\n\n
)<\/p>\n\n\n\n
return base64.b64encode(encrypted_key).decode()<\/p>\n\n\n\n
def encrypt_data(self, data: bytes, access_keys: list[str]) -> dict:<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
Data encryption using spatial coding<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
# Convert data to points<\/p>\n\n\n\n
points = self._data_to_points(data)<\/p>\n\n\n\n
# Create a 3D volume on the GPU<\/p>\n\n\n\n
volume = self._points_to_volume(points)<\/p>\n\n\n\n
# Generate a unique key for this dataset<\/p>\n\n\n\n
encryption_key = Fernet.generate_key()<\/p>\n\n\n\n
f = Fernet(encryption_key)<\/p>\n\n\n\n
# Encrypting the volume<\/p>\n\n\n\n
encrypted_volume = f.encrypt(cp.asnumpy(volume).tobytes())<\/p>\n\n\n\n
# Encrypt the encryption key for each recipient<\/p>\n\n\n\n
encrypted_keys = {}<\/p>\n\n\n\n
for access_key in access_keys:<\/p>\n\n\n\n
key_data = base64.b64decode(access_key)<\/p>\n\n\n\n
# Decrypt the access key data<\/p>\n\n\n\n
decrypted_key_data = self.private_key.decrypt(<\/p>\n\n\n\n
key_data,<\/p>\n\n\n\n
padding.OAEP(<\/p>\n\n\n\n
mgf=padding.MGF1(algorithm=hashes.SHA256()),<\/p>\n\n\n\n
algorithm=hashes.SHA256(),<\/p>\n\n\n\n
label= None<\/p>\n\n\n\n
)<\/p>\n\n\n\n
)<\/p>\n\n\n\n
key_info = json.loads(decrypted_key_data)<\/p>\n\n\n\n
# Encrypt the encryption key for this user<\/p>\n\n\n\n
encrypted_keys[key_info[‘user_id’]] = self.public_key.encrypt(<\/p>\n\n\n\n
encryption_key,<\/p>\n\n\n\n
padding.OAEP(<\/p>\n\n\n\n
mgf=padding.MGF1(algorithm=hashes.SHA256()),<\/p>\n\n\n\n
algorithm=hashes.SHA256(),<\/p>\n\n\n\n
label= None<\/p>\n\n\n\n
)<\/p>\n\n\n\n
)<\/p>\n\n\n\n
return {<\/p>\n\n\n\n
‘encrypted_volume’: encrypted_volume,<\/p>\n\n\n\n
‘encrypted_keys’: encrypted_keys<\/p>\n\n\n\n
}<\/p>\n\n\n\n
def decrypt_data(self, encrypted_data: dict, access_key: str) -> bytes:<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
Decrypting data using an access key<\/p>\n\n\n\n
“””<\/p>\n\n\n\n
# Decrypt the access key<\/p>\n\n\n\n
key_data = base64.b64decode(access_key)<\/p>\n\n\n\n
decrypted_key_data = self.private_key.decrypt(<\/p>\n\n\n\n
key_data,<\/p>\n\n\n\n
padding.OAEP(<\/p>\n\n\n\n
mgf=padding.MGF1(algorithm=hashes.SHA256()),<\/p>\n\n\n\n
algorithm=hashes.SHA256(),<\/p>\n\n\n\n
label= None<\/p>\n\n\n\n
)<\/p>\n\n\n\n
)<\/p>\n\n\n\n
key_info = json.loads(decrypted_key_data)<\/p>\n\n\n\n
# Get the encryption key for this user<\/p>\n\n\n\n
if key_info[‘user_id’] is not in encrypted_data[‘encrypted_keys’]:<\/p>\n\n\n\n
raise ValueError(“You do not have access to this data”)<\/p>\n\n\n\n
encryption_key = self.private_key.decrypt(<\/p>\n\n\n\n
encrypted_data[‘encrypted_keys’][key_info[‘user_id’]],<\/p>\n\n\n\n
padding.OAEP(<\/p>\n\n\n\n
mgf=padding.MGF1(algorithm=hashes.SHA256()),<\/p>\n\n\n\n
algorithm=hashes.SHA256(),<\/p>\n\n\n\n
label= None<\/p>\n\n\n\n
)<\/p>\n\n\n\n
)<\/p>\n\n\n\n
# Deciphering the volume<\/p>\n\n\n\n
f = Fernet(encryption_key)<\/p>\n\n\n\n
volume_data = f.decrypt(encrypted_data[‘encrypted_volume’])<\/p>\n\n\n\n
volume = np.frombuffer(volume_data, dtype=np.uint8).reshape(self.dimensions)<\/p>\n\n\n\n
# Convert back to bytes<\/p>\n\n\n\n
return volume.tobytes()<\/p>\n\n\n\n
“`<\/p>\n\n\n\n
Let’s take a look at how this system works:<\/p>\n\n\n\n
1. Spatial coding:<\/p>\n\n\n\n
– Data is transformed into a set of 3D points in a virtual space<\/p>\n\n\n\n
– Each point has coordinates (x, y, z) and a value<\/p>\n\n\n\n
– Utilizes GPU for efficient processing of 3D space<\/p>\n\n\n\n
2. Access system:<\/p>\n\n\n\n
– Each user receives a unique access key<\/p>\n\n\n\n
– Keys contain information about permissions and access levels<\/p>\n\n\n\n
– Asymmetric encryption is used to protect keys<\/p>\n\n\n\n
3. 3. End-to-end encryption:<\/p>\n\n\n\n
– Full end-to-end encryption is implemented<\/p>\n\n\n\n
– Data is encrypted at the level of 3D space<\/p>\n\n\n\n
– Additionally, cryptographic encryption is used<\/p>\n\n\n\n
Here’s an example of how to use it:<\/p>\n\n\n\n
“`python<\/p>\n\n\n\n
# Create an encryption system<\/p>\n\n\n\n
encryption_system = SpatialEncryption()<\/p>\n\n\n\n
# Generate access keys for users<\/p>\n\n\n\n
user1_key = encryption_system.generate_access_key(“user1”, [“read”, “write”])<\/p>\n\n\n\n
user2_key = encryption_system.generate_access_key(“user2”, [“read”])<\/p>\n\n\n\n
# Encrypting data<\/p>\n\n\n\n
data = “Secret scientific data”.encode()<\/p>\n\n\n\n
encrypted_data = encryption_system.encrypt_data(data, [user1_key, user2_key])<\/p>\n\n\n\n
# Decrypt data using the user’s key<\/p>\n\n\n\n
decrypted_data = encryption_system.decrypt_data(encrypted_data, user1_key)<\/p>\n\n\n\n
“`<\/p>\n\n\n\n
The system supports:<\/p>\n\n\n\n
1. 1. Multilevel access to data<\/p>\n\n\n\n
2. Spatial encryption on the GPU<\/p>\n\n\n\n
3. Cryptographic protection of keys<\/p>\n\n\n\n
4. 4. End-to-end data encryption<\/p>\n","protected":false},"excerpt":{"rendered":"
Author: Denys Pavlovych Sukhachev This is a work, and the author’s right to a work is protected by international law. The author’s ownership of the work begins from the moment the work is created. Concept: I understand your idea of creating an innovative 3D encryption system with distributed access elements. Let’s create a prototype of such a system in Python, using the capabilities of the GPU to process 3D geometry. “`python import numpy as np import numpy.random as npr import […]<\/p>\n","protected":false},"author":1,"featured_media":1320,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1403","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bez-kategoriyi"],"yoast_head":"\n
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The author’s ownership of the work begins from the moment the work is created. Concept: I understand your idea of creating an innovative 3D encryption system with distributed access elements. 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