An example of asymmetric encryption in python using a public/private keypair - utilizes RSA from PyCrypto library and Python3.5

RSA_example.py

# Inspired from http://coding4streetcred.com/blog/post/Asymmetric-Encryption-Revisited-(in-PyCrypto)
# PyCrypto docs available at https://www.dlitz.net/software/pycrypto/api/2.6/

from Crypto import Random
from Crypto.PublicKey import RSA
import base64

def generate_keys():
    # RSA modulus length must be a multiple of 256 and >= 1024
    modulus_length = 256 * 4 * 4 # use larger value in production
    privatekey = RSA.generate(modulus_length, Random.new().read)
    publickey = privatekey.publickey()
    return (privatekey, publickey)

def encrypt_message(a_message, publickey: str) -> bytes:
    encrypted_msg = publickey.encrypt(a_message.encode(), 32)[0]
    encoded_encrypted_msg = base64.b64encode(encrypted_msg) # base64 encoded strings are database friendly
    return encoded_encrypted_msg

def decrypt_message(encoded_encrypted_msg: bytes, privatekey: str) -> str:
    decoded_encrypted_msg = base64.b64decode(encoded_encrypted_msg)
    decoded_decrypted_msg = privatekey.decrypt(decoded_encrypted_msg)
    return decoded_decrypted_msg

########## BEGIN ##########

a_message = "The quick brown fox jumped over the lazy dog"
privatekey, publickey = generate_keys()
encrypted_msg = encrypt_message(a_message, publickey)
decrypted_msg = decrypt_message(encrypted_msg, privatekey)

print("%s - (%d)" % (privatekey.exportKey() , len(privatekey.exportKey())))
print("%s - (%d)" % (publickey.exportKey() , len(publickey.exportKey())))
print(" Original content: %s - (%d)" % (a_message, len(a_message)))
print("Encrypted message: %s - (%d)" % (encrypted_msg, len(encrypted_msg)))
print("Decrypted message: %s - (%d)" % (decrypted_msg, len(decrypted_msg)))