hadamard_multiply

GLEngine.hadamard_multiply(x, y, hadamard_multiplication_key)

Returns the ciphertext resulting from the multiplication of two 3d matrices. Consumes a level.

• Input:
  • x: 3D array of double or complex double, GLPlaintext, or GLCiphertext
  • y: 3D array of double or complex double, GLPlaintext, or GLCiphertext
  • One of the inputs must be a ciphertext.
  • HadamardMultiplicationKey, optional
    • This is required when both inputs are ciphertexts.
• Output:
  • GLCiphertext

Examples

Hadamard multiplication of two ciphertexts

import numpy as np

from desilofhe import GLEngine

engine = GLEngine()
shape = engine.shape
secret_key = engine.create_secret_key()
hadamard_multiplication_key = engine.create_hadamard_multiplication_key(
    secret_key
)

message1 = np.ones(shape, dtype=np.float64)
ciphertext1 = engine.encrypt(message1, secret_key)

message2 = np.ones(shape, dtype=np.float64) * 2
ciphertext2 = engine.encrypt(message2, secret_key)

multiplied = engine.hadamard_multiply(
    ciphertext1, ciphertext2, hadamard_multiplication_key
)

Multiplication of a ciphertext and a 3d matrix

import numpy as np

from desilofhe import GLEngine

engine = GLEngine()
shape = engine.shape
secret_key = engine.create_secret_key()

message1 = np.ones(shape, dtype=np.float64)
ciphertext1 = engine.encrypt(message1, secret_key)

message2 = np.ones(shape, dtype=np.float64) * 2
ciphertext2 = engine.encrypt(message2, secret_key)

multiplied1 = engine.hadamard_multiply(ciphertext1, message2)
multiplied2 = engine.hadamard_multiply(message1, ciphertext2)

Multiplication of a ciphertext and a plaintext

import numpy as np

from desilofhe import GLEngine

engine = GLEngine()
shape = engine.shape
secret_key = engine.create_secret_key()

message1 = np.ones(shape, dtype=np.float64)
plaintext1 = engine.encode(message1)
ciphertext1 = engine.encrypt(plaintext1, secret_key)

message2 = np.ones(shape, dtype=np.float64) * 2
plaintext2 = engine.encode(message2)
ciphertext2 = engine.encrypt(plaintext2, secret_key)

multiplied1 = engine.hadamard_multiply(ciphertext1, plaintext2)
multiplied2 = engine.hadamard_multiply(plaintext1, ciphertext2)