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A Python implementation of the Learning With Errors cryptography scheme

Project description

LWE-Python

What is this library's purpose?

This is a Python implementation of the Learning With Errors crypto algorithim. The LWE is a quantum-resistant algorithim based on matrices. Encoded information is in the form of a vector.

To read more about LWE, you can refer to this Medium article or the original paper published in 2005.

Who should use this library?

If you are interested in securing information outside of the usual methods presented, i.e. RSA, PGP, etc.

How to use

from lwe_python import PublicKey, PrivateKey, encrypt_string, decrypt_data
import math
import random
# set up an arry of error values; this MUST match the
# number_of_equations parameter in the PublicKey constructor

error_vectors = []
number_of_equations = 10
mod_number = 97
for x in range(0, number_of_equations):
  error_vectors.append(math.floor(random.random() * 4))

# you must keep this value and the error array secret. If an attacker were to get their
# hands on both, then they could reverse engineer any message. 
secret_value = 200

pub_key = PublicKey(mod_number=mod_number, error_vectors=error_vectors, number_of_equations=number_of_equations)

priv_key = PrivateKey(secret_value, mod_number)

# you must call this function to generate "B" values; there are values that take 
# into account the values from the error array and the secret
pub_key.generate_key_values(secretValue)

# encrypt a string
encrypted_data = encrypt_string("hello world", pub_key)

# decrypt a string
message = decrypt_data(encryted_data, priv_key)

# s_aves a pub.lwe.key file to the current directory 
pub_key.save_to_keyfile()

# saves a sec.lwe.key file to the current direcotry
priv_key.save_to_keyfile()


# create a PublicKey instance from a pub.lwe.key file
PublicKey.load_from_keyfile("pub.lwe.key")

# create a PrivatecKey instance from a pub.lwe.key file
PrivateKey.load_from_keyfile("sec.lwe.key")

# load a PublicKey from JSON data 
PublicKey.loadJSON(keydata)

# export PublicKey data as a JSON Object
keydata = pubKey.to_json()

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