rsa: print help if not args given

Signed-off-by: HeshamTB <hishaminv@gmail.com>

.gitignore

@@ -1,3 +1,13 @@
 __pycache__/
 keys/
 test-file
+
+#pyinstaller files
+dist/
+build/
+*.spec
+
+#venv dir
+venv/
+
+.idea/

LICENSE

@@ -0,0 +1,339 @@
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+Public License instead of this License.

MillerRabin.py

@@ -0,0 +1,33 @@
+
+# Copyright (C) 2019-2021 Hesham T. Banafa
+
+#From: https://stackoverflow.com/questions/17298130/working-with-large-primes-in-python
+from random import randrange
+def is_prime(n, k=10):
+    if n == 2:
+        return True
+    if not n & 1:
+        return False
+
+    def check(a, s, d, n):
+        x = pow(a, d, n)
+        if x == 1:
+            return True
+        for i in range(s - 1):
+            if x == n - 1:
+                return True
+            x = pow(x, 2, n)
+        return x == n - 1
+
+    s = 0
+    d = n - 1
+
+    while d % 2 == 0:
+        d >>= 1
+        s += 1
+
+    for i in range(k):
+        a = randrange(2, n - 1)
+        if not check(a, s, d, n):
+            return False
+    return True

OAEP.py

@@ -0,0 +1,24 @@
+# Copyright (C) 2019-2021 Hesham T. Banafa
+
+#From: https://stackoverflow.com/questions/39964383/implementation-of-i2osp-and-os2ip
+
+def i2osp(x, xLen):
+        if x >= 256**xLen:
+            raise ValueError("integer too large")
+        digits = []
+
+        while x:
+            digits.append(int(x % 256))
+            x //= 256
+        for i in range(xLen - len(digits)):
+            digits.append(0)
+        return digits[::-1]
+
+def os2ip(X):
+        xLen = len(X)
+        X = X[::-1]
+        x = 0
+        for i in range(xLen):
+            x += X[i] * 256**i
+        return x
+

README.md

@@ -0,0 +1,29 @@
+
+# hesham-rsa
+A simple program written in python to implement RSA public encryption. Used as Course EE-305 project KAU.
+# Installation 
+There is no packaging or installation. Works in current dir (portable) for now.
+
+    git clone https://apollo-server.ddns.net/gitea/Hesham/hesham-rsa.git
+    cd hesham-rsa
+
+# Usage
+
+    ./rsa.py [COMMAND] [ARGS]
+   or 
+   
+    python rsa.py [COMMAND] [ARGS]
+
+## generating keys
+to generate a key pair with and ID 
+
+    ./rsa.py gen [keysize] [keyID]
+All generated keys are saved in {$working_dir}/saves/
+## encrypting 
+
+    ./rsa.py encrypt "[message]" [RecieverKeyID] [SenderSignetureKeyID]
+## decrypting
+Assuming the encrypted message is encrypted to myPrivateKey
+    
+    ./rsa.py decrypt "[cipher]" [myPrivateKeyID]
+The signature is checked with all public keys stored in keys directory

TODO

@@ -1,11 +1,7 @@
-Add signing capability. (sign a word (last word?) using private key)
-	so reciever can decrypt using my public key to verify the sender.
 
 Add scrambling of padding to encrypted messages.
 https://www.inf.pucrs.br/~calazans/graduate/TPVLSI_I/RSA-oaep_spec.pdf
 
-Add cmd to list keys in keys dir and check if it has private key also.
-
 Add use SHA-1 to provide public key finger print (hashing function).
 
 Support reading file for encryption, decryption and maybe signing.
@@ -14,3 +10,5 @@ resources:
 	https://crypto.stackexchange.com/questions/1448/definition-of-textbook-rsa
 	https://crypto.stackexchange.com/questions/3608/why-is-padding-used-for-rsa-encryption-given-that-it-is-not-a-block-cipher
 	https://www.inf.pucrs.br/~calazans/graduate/TPVLSI_I/RSA-oaep_spec.pdf
+	https://stackoverflow.com/questions/17298130/working-with-large-primes-in-python
+	RSA Primitives documentation PKCS: https://tools.ietf.org/html/rfc8017#section-4

encodetest.py

@@ -1,4 +1,6 @@
+#!/usr/bin/python3
 
+# Copyright (C) 2019-2021 Hesham T. Banafa
 
 s = 'test message hello awdawd'
 print(s)
@@ -38,3 +40,14 @@ print(sig_enc)
 sig_un = en.decrypt(sig_enc,d,n)
 print(sig_un)
 print(key)
+
+import OAEP
+
+key = en.generateKeys("encode-test", 2048)
+x = int(en.encrypt("test message", (key[en.N], key[en.E])))
+print(x)
+encoded_msg = OAEP.i2osp(x, key[en.N].bit_length())
+print(encoded_msg)
+
+decoded = OAEP.os2ip(encoded_msg)
+print(decoded)

rsa.py

@@ -1,5 +1,7 @@
 #!/usr/bin/python3
 
+# Copyright (C) 2019-2021 Hesham T. Banafa
+
 # program to generate rsa key pair using methods in EE-305
 # Hesham Banafa
 
@@ -13,7 +15,9 @@ https://crypto.stackexchange.com/questions/13113/how-can-i-find-the-prime-number
 import math
 import os
 import sys
+import MillerRabin as mr
 
+VERSION = "1.2.2"
 keysFolder = "keys/"
 byteOrder = "little"
 N = 0
@@ -24,22 +28,43 @@ Q=4
 PHI = 5
 ID = 6
 
-def main():
 
-    if sys.argv[1] == "gen": ##rsa gen <keysize> <keyname>
+def main():
+    print("hesham-rsa version ", VERSION)
+
+    if len(sys.argv) == 1:
+        printHelp()
+        sys.exit(127)
+
+    if sys.argv[1] == "gen" and len(sys.argv) == 4:  ##rsa gen <keysize> <keyname>
         keyFileName = sys.argv[3]
+        if keyExist(keyFileName):
+            choice = input("overwrite key %s (y/n)" % keyFileName)
+            if choice == "y":
                 key = generateKeys(keyFileName, int(sys.argv[2]))
+            elif choice == "n":
+                sys.exit(0)
+            else:
+                print("unrecognized choice!")
+                sys.exit(1)
+        else:
+            key = generateKeys(keyFileName, int(sys.argv[2]))
+        print("e: ", key[E])
+        print("n: ", key[N])
+        print("d: ", key[D])
         printKey(key)
         try:
             saveKeyFile(key, keyFileName)
         except IOError:
             print("could not write file")
-            exit(1)
+            sys.exit(1)
         except Exception as ex:
             print(ex)
-            exit(1)
-    if len(sys.argv) == 5 or len(sys.argv) == 4:
-        if sys.argv[1] == "encrypt": ##rsa encrypt <message> <key> <signer>
+            sys.exit(1)
+        sys.exit(0)
+    if (
+        sys.argv[1] == "encrypt" and len(sys.argv) == 5
+    ):  ##rsa encrypt <message> <key> <signer>
         msg = sys.argv[2]
         msg_list = msg.split()
         keyName = sys.argv[3]
@@ -49,11 +74,18 @@ def main():
         key_public = (key[N], key[E])
         msg_encrypted = ""
         for word in msg_list:
-                msg_encrypted = msg_encrypted + " " + str(encrypt(word, key_public))
+            msg_encrypted = msg_encrypted + " " + hex(encrypt(word, key_public))
         # msg_encrypted = encrypt(msg, key_public)
         print("Encrypted msg: \n", msg_encrypted)
-            print("Signed: \n", sign(msg_encrypted, signing_key))
-        if sys.argv[1] == "decrypt": ##rsa decrypt <cipher> <key>
+        print(
+            "Signed: \n", sign(msg_encrypted, signing_key)
+        )  ## Adds an encrypted sig at the end of message.
+        sys.exit(0)
+    elif sys.argv[1] == "encrypt":
+        print("Not enough arguments")
+        print("rsa encrypt <message> <key> <signer>")
+        sys.exit(1)
+    if sys.argv[1] == "decrypt" and len(sys.argv) == 4:  ##rsa decrypt "<cipher>" <key>
         cipher = sys.argv[2]
         cipher_list = cipher.split()
         sig = verify(cipher_list)
@@ -61,18 +93,74 @@ def main():
         msg_decrypted = ""
         key = readKeyFile(sys.argv[3])
         for cipher_word in cipher_list:
-                msg_decrypted = msg_decrypted + " " + str(decrypt(int(cipher_word),key[D],key[N]))
-            #with open(fileName, "r") as cipherFile:
-            #    cipher = int(cipherFile.readline()) ##one line may make problems later with padding
-            print("Signed by: ", sig)
+            msg_decrypted = (
+                msg_decrypted + " " + str(decrypt(int(cipher_word, 16), key[D], key[N]))
+            )
+        if sig == None:
+            print("\033[91mUnknown signature! \u2717" + "\033[0m")
+        else:
+            print("Signed by: \033[92m " + sig + " \u2713\033[0m")
         print("Decrypted message: \n", msg_decrypted)
+        sys.exit(0)
+    elif sys.argv[1] == "decrypt":
+        print("Not enough arguments")
+        print('rsa decrypt "<cipher>" <keyid>')
+        sys.exit(1)
     if sys.argv[1] == "list":
         listKeys()
+        sys.exit(0)
+    if sys.argv[1] == "export" and len(sys.argv) == 3:  # rsa export <key>
+        key_file_name = sys.argv[2]
+        exportKey(key_file_name)
+        sys.exit(0)
+    elif sys.argv[1] == "export":
+        printHelp()
+        sys.exit(1)
+    if sys.argv[1] == "crack" and len(sys.argv) == 3:  # rsa crack <key>
+        keyName = sys.argv[2]
+        cracked_key = crackKey2(keyName)
+        printKey(cracked_key)
+        sys.exit(0)
+    elif sys.argv[1] == "crack":
+        printHelp()
+        sys.exit(1)
+    if sys.argv[1] == "is_prime" and len(sys.argv) == 4:  # rsa is_prime <base> <N>
+        isPrime_cmd(0)
+        sys.exit(0)
+    if (
+        sys.argv[1] == "is_prime_mr" and len(sys.argv) == 4
+    ):  # rsa is_prime_mr <base> <N>
+        isPrime_cmd(1)
+        sys.exit(0)
+    if sys.argv[1] == "genrand" and len(sys.argv) == 3:  # rsa genrand <bits>
+        print(gen_random(int(sys.argv[2])))
+        sys.exit(0)
+    if sys.argv[1] == "genprime" and len(sys.argv) == 3:  # rsa genprime <bits>
+        print(getPrime(int(sys.argv[2])))
+        sys.exit(0)
+    if (
+        sys.argv[1] == "prime_factors" and len(sys.argv) == 4
+    ):  # rsa primefactors <base> <N>
+        prime_factors(sys.argv[3], sys.argv[2])
+        sys.exit(0)
+    if sys.argv[1] == "print" and len(sys.argv) == 3:  # rsa print <key>
+        printKey(readKeyFile(sys.argv[2]))
+        sys.exit(0)
+    elif sys.argv[1] == "print":
+        printHelp()
+        sys.exit(1)
+    if sys.argv[1] == "help":
+        printHelp()
+        sys.exit(0)
 
+    # No command exit code
+    printHelp()
+    sys.exit(127)
 
 
 def generateKeys(id, bits=64):
     from multiprocessing.pool import Pool
+
     # Primes of size 32 bit random
     # resulting in a 64-bit key mod
     pool = Pool()
@@ -94,41 +182,47 @@ def generateKeys(id, bits=64):
     # e exponant should be 1 < e < lamda(n) and GCD(e, lamda(n)) = 1 (coprime)
     # recommended value is 65,537
     e = 65537
-    d = pow(e,-1,phi)
+    d = pow(e, -1, phi)  # d = e^-1 mod phi
     return (n, e, d, p, q, phi, id)
 
+
 def encrypt(message, publicKey):
     msg_text = message
     n = publicKey[N]
     e = publicKey[E]
-    print("using n: {0}, e: {1}".format(n, e))
+    # print("using n: {0}, e: {1}".format(n, e))
 
     msg_number_form = int.from_bytes(msg_text.encode(), byteOrder)
-    print("Word: %s or %d" % (msg_text, msg_number_form))
+    # print("Word: %s or %d" % (msg_text, msg_number_form))
 
     msg_encrypted_number_form = pow(msg_number_form, e, n)  # c = msg^e mod n
     return msg_encrypted_number_form
 
+
 def decrypt(cipher, privateKey, n):
     msg_encrypted_number_form = cipher
     d = privateKey
     msg_decrypted_number_form = pow(msg_encrypted_number_form, d, n)  # msg = c^d mod n
     msg_decrypted = int(msg_decrypted_number_form)
     try:
-        msg_decrypted = str(msg_decrypted.to_bytes(msg_decrypted.bit_length(), byteOrder).decode()).strip()
+        msg_decrypted = str(
+            msg_decrypted.to_bytes(msg_decrypted.bit_length(), byteOrder).decode()
+        ).strip()
     except UnicodeDecodeError:
-        print("Cant decrypt properly")
+        # print("decrypt: Cant decrypt properly")
+        return ""
     return msg_decrypted
 
+
 def getPrime(bits):
     while True:
         # Byte order "little" or "big" does not matter here since we want a random number from os.urandom()
         x = int.from_bytes(os.urandom(int(bits / 8)), byteOrder)
-        print("trying: ", x, end="")
-        if isPrime(x):
-            print("\nprime: ", x)
+        print("Trying: ", x, end="\n")
+        if mr.is_prime(x):
+            print("\nprime: ", x, "\n")
             return x
-        print("\r",end="")
+        # backTrack(x)
 
 
 def isPrime(number):
@@ -153,43 +247,103 @@ def isPrime(number):
                 return False
     return True
 
+
+def gen_random(bits: int):
+    x = int.from_bytes(os.urandom(int(bits / 8)), byteOrder)
+    return x
+
+
 def sign(encrypted_msg, key):
     enc_msg = str(encrypted_msg)
     encrypted_msg_list = enc_msg.split()
     enc_sig = encrypt("sig:" + key[ID], (key[N], key[D]))
-    encrypted_msg_list.append(enc_sig)
+    encrypted_msg_list.append(hex(enc_sig))
     signed_msg = ""
     for word in encrypted_msg_list:
         signed_msg = str(signed_msg) + " " + str(word)
     return signed_msg.strip()
 
+
 def verify(cipher_list):
-    sig = "Unknown"
     local_keys = os.listdir(keysFolder)
     cipher_list.reverse()  # To get last word using index 0
     encrypted_sig = cipher_list[0]
     cipher_list.reverse()
+    sig = None
     for key_name in local_keys:
         key = readKeyFile(key_name)
         print("Found key: ", key_name)
-        sig = str(decrypt(int(encrypted_sig), key[E], key[N]))
+        sig = str(decrypt(int(encrypted_sig, 16), key[E], key[N]))
         if "sig:" in sig:
             return sig.replace("sig:", "")
+        else:
+            continue
+    else:
+        return None
+
+
+def isPrime_cmd(func):
+    number = int_base_n_from_str(sys.argv[3], sys.argv[2])
+
+    if func == 0:
+        prime = isPrime(number)
+    elif func == 1:
+        prime = mr.is_prime(number)
+
+    if prime:
+        print("Prime")
+        # print(number)
+    else:
+        print("Not prime")
+
+
+def prime_factors(number, base):
+    num = int_base_n_from_str(number, base)
+    factors = {1: 1}
+    k = 0
+    while num % 2 == 0:
+        k += 1
+        num = num / 2
+    if k != 0:
+        factors.update({2: k})
+
+    for i in range(3, int(math.sqrt(num)) + 1, 2):
+        j = 0
+        while num % i == 0:
+            j += 1
+            num = num / i
+        if j != 0:
+            factors.update({i: j})
+    if num > 2:
+        factors.update({int(num): 1})
+
+    print(factors)
+
 
 def readKeyFile(keyName):
     key = tuple()
     with open(keysFolder + keyName, "r") as keyFile:
         tempkey = keyFile.readlines()
         if len(tempkey) == 3:  # means it only public part (n, e, id)
-            key = (int(tempkey[N].strip(), 16), int(tempkey[E].strip(), 16), 0, 0, 0, 0, tempkey[2])
+            key = (
+                int(tempkey[N].strip(), 16),
+                int(tempkey[E].strip(), 16),
+                0,
+                0,
+                0,
+                0,
+                tempkey[2],
+            )
         else:  # Make this a loop from 0 to 5
-            key = (int(tempkey[N].strip(), 16),
+            key = (
+                int(tempkey[N].strip(), 16),
                 int(tempkey[E].strip(), 16),
                 int(tempkey[D].strip(), 16),
                 int(tempkey[P].strip(), 16),
                 int(tempkey[Q].strip(), 16),
                 int(tempkey[PHI].strip(), 16),
-            str(tempkey[ID].strip()))
+                str(tempkey[ID].strip()),
+            )
     return key
 
 
@@ -198,38 +352,148 @@ def saveKeyFile(key, fileName):
         os.makedirs(keysFolder)
     with open(keysFolder + fileName, "w") as keyFile:
         for entry in range(0, 6):
+            if key[entry] != 0:
                 keyFile.write(hex(key[entry]) + "\n")
+            else:
+                pass
         keyFile.write(key[ID] + "\n")
 
+
 def printKey(key):
     n = key[N]
     e = key[E]
     d = key[D]
-    print("----------------------------------------------"+
-        "\nID: {}".format(key[ID]) +
-        "\n{}-BIT KEY".format(n.bit_length())+
-        "\nPUBLIC PART:"+
-        "\n{0}/{1}".format(hex(n), hex(e))+
-        "\nPTIVATE PART:"+
-        "\n{0}".format(hex(d))+
-        "\n----------------------------------------------",
+    id = key[ID]
+    print(
+        "----------------------------------------------"
+        + "\nID: {}".format(id)
+        + "\n{}-BIT KEY".format(n.bit_length())
+        + "\nPUBLIC PART:"
+        + "\n{0}/{1}".format(hex(n), hex(e))
+        + "\nPTIVATE PART:"
+        + "\n{0}".format(hex(d))
+        + "\n----------------------------------------------",
     )
 
+
 def listKeys():
     if not os.path.isdir(keysFolder):
         os.makedirs(keysFolder)
     local_keys = os.listdir(keysFolder)
-    print(local_keys)
     if len(local_keys) == 0:
+        print("Cant find local keys.")
         return
-    print("ID      PRIVATE")
-    print("________________")
+    print("ID      PRIVATE      SIZE")
+    print("-------------------------")
     for keyName in local_keys:
         key = readKeyFile(keyName)
         if key[D] == 0:
-            check = u''
-        else: check = u'\u2713'
-        print("{}   {}\n".format(key[ID], check))
+            check = "".strip()
+        else:
+            check = "\u2713"
+        print("%10s%7s%7s-bit" % (key[ID].strip(), check, key[N].bit_length()))
+
+
+def exportKey(keyFileName):
+    key = readKeyFile(keyFileName)
+    public_key = (key[N], key[E], 0, 0, 0, 0, key[ID])
+    saveKeyFile(public_key, key[ID] + "-public")
+    print("Saved public form of key {} in keys folder".format(key[ID]))
+
+
+def crackKey(keyName):
+    print("in crack")
+    key = readKeyFile(keyName)
+    n = key[N]
+    for number in range(7, n - 1):
+        if mr.is_prime(number):
+            print("Trying prime: ", number, end="\r")
+            # if number devides n then it p or q
+            if n % number == 0:
+                p = number
+                q = int(n / p)
+                phi = (p - 1) * (q - 1)
+                e = 65537
+                d = pow(e, -1, phi)
+                key_cracked = (n, e, d, p, q, phi, str(keyName + "-cracked"))
+                return key_cracked
+            else:
+                pass
+        else:
+            pass
+
+
+def crackKey2(keyName):
+    print("in crack")
+    key = readKeyFile(keyName)
+    n = key[N]
+    print("n: ", n)
+    bits = int(n.bit_length() / 2)
+    print("bits: ", bits)
+    while True:
+        number = int.from_bytes(os.urandom(int(bits / 8)), byteOrder)
+        if number == 0 or number == 1:
+            continue
+        print("Trying prime: ", number, end="\r")
+        # if number devides n then it p or q
+        if n % number == 0:
+            print("\nFound a factor")
+            p = number
+            print("p: ", p)
+            q = int(n / p)
+            phi = (p - 1) * (q - 1)
+            if phi == 0:
+                continue
+            e = 65537
+            d = pow(e, -1, phi)
+            key_cracked = (n, e, d, p, q, phi, str(keyName + "-cracked"))
+            print(key_cracked)
+            return key_cracked
+        else:
+            continue
+
+
+def printHelp():
+    print("commands:")
+    print("rsa gen <keysize> <keyname>")
+    print("rsa encrypt <message> <key> <signer>")
+    print('rsa decrypt "<cipher>" <key>')
+    print("rsa export <key>")
+    print("rsa crack <key>")
+    print("rsa print <key>")
+    print("rsa list")
+
+
+def backTrack(x):
+    # Back track and clear terminal with length of x
+    length = len(str(x))
+    while length > 0:
+        print("\b", end="")
+        length -= 1
+
+
+def keyExist(keyName):
+    exist = os.path.exists(keysFolder + keyName)
+    return exist
+
+
+def int_base_n_from_str(st: str, base):
+    try:
+        base = int(base)
+    except ValueError as e:
+        print(
+            f"Value {sys.argv[2]} is not a valid base (2, 8, 10, 16)", file=sys.stderr
+        )
+        exit(-1)
+    try:
+        number = int(st, base)
+    except ValueError as e:
+        print(
+            f"Value {sys.argv[3]} is not valid for as a base {base} number",
+            file=sys.stderr,
+        )
+        exit(-1)
+    return number
 
 
 if __name__ == "__main__":