```python
import hashlib
import random
class TridequeNode:
def __init__(self, data, timestamp, spatial_coord):
self.data = data
self.timestamp = timestamp
self.spatial_coord = spatial_coord
self.edges = []
class Trideque:
def __init__(self):
self.nodes = []
self.front = None
self.back = None
self.quadtree = {} # spatial index
def insert(self, data, timestamp, spatial_coord):
node = TridequeNode(data, timestamp, spatial_coord)
self.nodes.append(node)
if not self.front:
self.front = node
self.back = node
else:
node.edges.append(self.back)
self.back.edges.append(node)
self.back = node
# update quadtree with spatial coordinates
def hash_to_lattice(data):
# convert data to bytes
data_bytes = data.encode()
# apply hash function H(x) to get high-dimensional lattice representation
hash_bytes = hashlib.sha256(data_bytes).digest()
# create an empty Trideque object
trideque = Trideque()
# insert each byte as a node with random timestamp and spatial coordinates
for byte in hash_bytes:
trideque.insert(byte, random.randint(0, 255), (random.randint(0, 255), random.randint(0, 255)))
return trideque
def encrypt(trideque):
# generate a random key r
r = random.randint(0, 255)
# apply encryption function F(H(x))
for node in trideque.nodes:
# add spatial coordinates to data value
node.data += sum(node.spatial_coord)
# add directed edges based on timestamps
for edge in node.edges:
if edge.timestamp > node.timestamp:
edge.data += 1
# apply key encoding function G(r)
for i in range(r):
# rotate front node to back
front_node = trideque.front
trideque.front.edges.remove(trideque.back)
Comments