RSA Cipher Decryption

This chapter is a continuation of the previous chapter where we followed step wise implementation of encryption using RSA algorithm and discusses in detail about it.
The function used to decrypt cipher text is as follows −
def decrypt(ciphertext, priv_key):
   cipher = PKCS1_OAEP.new(priv_key)
   return cipher.decrypt(ciphertext)

For public key cryptography or asymmetric key cryptography, it is important to maintain two important features namely Authentication and Authorization.
Authorization is the process to confirm that the sender is the only one who have transmitted the message. The following code explains this −
def sign(message, priv_key, hashAlg="SHA-256"):
   global hash
   hash = hashAlg
   signer = PKCS1_v1_5.new(priv_key)
   
   if (hash == "SHA-512"):
      digest = SHA512.new()
   elif (hash == "SHA-384"):
      digest = SHA384.new()
   elif (hash == "SHA-256"):
      digest = SHA256.new()
   elif (hash == "SHA-1"):
      digest = SHA.new()
   else:
      digest = MD5.new()
   digest.update(message)
   return signer.sign(digest)
Authentication is possible by verification method which is explained as below −
def verify(message, signature, pub_key):
   signer = PKCS1_v1_5.new(pub_key)
   if (hash == "SHA-512"):
      digest = SHA512.new()
   elif (hash == "SHA-384"):
      digest = SHA384.new()
   elif (hash == "SHA-256"):
      digest = SHA256.new()
   elif (hash == "SHA-1"):
      digest = SHA.new()
   else:
      digest = MD5.new()
   digest.update(message)
   return signer.verify(digest, signature)
The digital signature is verified along with the details of sender and recipient. This adds more weight age for security purposes.
You can use the following code for RSA cipher decryption −
from Crypto.PublicKey import RSA
from Crypto.Cipher import PKCS1_OAEP
from Crypto.Signature import PKCS1_v1_5
from Crypto.Hash import SHA512, SHA384, SHA256, SHA, MD5
from Crypto import Random
from base64 import b64encode, b64decode
hash = "SHA-256"

def newkeys(keysize):
   random_generator = Random.new().read
   key = RSA.generate(keysize, random_generator)
   private, public = key, key.publickey()
   return public, private

def importKey(externKey):
   return RSA.importKey(externKey)

def getpublickey(priv_key):
   return priv_key.publickey()

def encrypt(message, pub_key):
   cipher = PKCS1_OAEP.new(pub_key)
   return cipher.encrypt(message)

def decrypt(ciphertext, priv_key):
   cipher = PKCS1_OAEP.new(priv_key)
   return cipher.decrypt(ciphertext)

def sign(message, priv_key, hashAlg = "SHA-256"):
   global hash
   hash = hashAlg
   signer = PKCS1_v1_5.new(priv_key)
   
   if (hash == "SHA-512"):
      digest = SHA512.new()
   elif (hash == "SHA-384"):
      digest = SHA384.new()
   elif (hash == "SHA-256"):
      digest = SHA256.new()
   elif (hash == "SHA-1"):
      digest = SHA.new()
   else:
      digest = MD5.new()
   digest.update(message)
   return signer.sign(digest)

def verify(message, signature, pub_key):
   signer = PKCS1_v1_5.new(pub_key)
   if (hash == "SHA-512"):
      digest = SHA512.new()
   elif (hash == "SHA-384"):
      digest = SHA384.new()
   elif (hash == "SHA-256"):
      digest = SHA256.new()
   elif (hash == "SHA-1"):
      digest = SHA.new()
   else:
      digest = MD5.new()
   digest.update(message)
   return signer.verify(digest, signature)

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    10 Lectures 
     2 hours 

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