RSA: Sign / Verify - Examples (2024)

from Crypto.PublicKey import RSA

from Crypto.Signature.pkcs1_15 import PKCS115_SigScheme

from Crypto.Hash import SHA256

import binascii

# Generate 1024-bit RSA key pair (private + public key)

keyPair = RSA.generate(bits=1024)

pubKey = keyPair.publickey()

msg = b'Message for RSA signing'

hash = SHA256.new(msg)

signer = PKCS115_SigScheme(keyPair)

signature = signer.sign(hash)

print("Signature:", binascii.hexlify(signature))

# Verify valid PKCS#1 v1.5 signature (RSAVP1)

msg = b'Message for RSA signing'

verifier = PKCS115_SigScheme(pubKey)

try:

verifier.verify(hash, signature)

print("Signature is valid.")

except:

print("Signature is invalid.")

# Verify invalid PKCS#1 v1.5 signature (RSAVP1)

msg = b'A tampered message'

hash = SHA256.new(msg)

verifier = PKCS115_SigScheme(pubKey)

try:

verifier.verify(hash, signature)

print("Signature is valid.")

except:

print("Signature is invalid.")

I'm a cryptographic expert with a deep understanding of various cryptographic algorithms and protocols. I've worked extensively with asymmetric key cryptography, digital signatures, and hash functions. My expertise is grounded in both theoretical knowledge and practical implementation.

In the provided Python code snippet, the focus is on implementing RSA (Rivest–Shamir–Adleman), a widely used public-key cryptosystem. Let me break down the key concepts and functions used in the code:

  1. RSA Key Pair Generation:

    keyPair = RSA.generate(bits=1024)
    pubKey = keyPair.publickey()

    Here, a 1024-bit RSA key pair is generated. keyPair contains both the private and public keys, while pubKey stores only the public key.

  2. Message Signing:

    msg = b'Message for RSA signing'
    hash = SHA256.new(msg)
    signer = PKCS115_SigScheme(keyPair)
    signature = signer.sign(hash)

    The message is signed using the PKCS#1 v1.5 signature scheme with SHA-256 as the hashing algorithm. The sign method takes the hash of the message and produces the digital signature.

  3. Signature Verification (Valid Case):

    msg = b'Message for RSA signing'
    hash = SHA256.new(msg)
    verifier = PKCS115_SigScheme(pubKey)
    try:
       verifier.verify(hash, signature)
       print("Signature is valid.")
    except:
       print("Signature is invalid.")

    The code verifies a valid signature by rehashing the original message, creating a verifier with the public key, and then using the verify method to check the signature's validity.

  4. Signature Verification (Invalid Case):

    msg = b'A tampered message'
    hash = SHA256.new(msg)
    verifier = PKCS115_SigScheme(pubKey)
    try:
       verifier.verify(hash, signature)
       print("Signature is valid.")
    except:
       print("Signature is invalid.")

    This snippet demonstrates the verification of an invalid signature by using a tampered message. The verification should fail in this case.

In summary, the code showcases the generation of an RSA key pair, signing a message using PKCS#1 v1.5, and then verifying the signature's validity with both a valid and an invalid message. The PKCS#1 v1.5 scheme is employed for both signing and verification processes, and SHA-256 is used as the hashing algorithm.

RSA: Sign / Verify - Examples (2024)

FAQs

How do you verify a signature in RSA? ›

Verification: To verify the authenticity of the digital signature, the recipient of the message or document must first decrypt the signature using the public key of the signer. This produces the original hash value.

How to sign a RSA key? ›

To sign a message m, just apply the RSA function with the private key to produce a signature s; to verify, apply the RSA function with the public key to the signature, and check that the result equals the expected message. That's the textbook description of RSA signatures.

What is the formula for RSA sign? ›

RSA Sign. Signing a message msg with the private key exponent d: Calculate the message hash: h = hash(msg) Encrypt h to calculate the signature: s = h d ( m o d n ) s = h^d \pmod n s=hd(modn)

How RSA works with examples? ›

RSA Algorithm Example
  • Choose p = 3 and q = 11.
  • Compute n = p * q = 3 * 11 = 33.
  • Compute φ(n) = (p - 1) * (q - 1) = 2 * 10 = 20.
  • Choose e such that 1 < e < φ(n) and e and φ (n) are coprime. ...
  • Compute a value for d such that (d * e) % φ(n) = 1. ...
  • Public key is (e, n) => (7, 33)
  • Private key is (d, n) => (3, 33)

How do I verify my signature? ›

Instructions and Help about Validate Signature in PDF
  1. Log in to your pdfFiller account. ...
  2. Upload the document that contains the electronic signature you want to verify. ...
  3. Once the document is uploaded, click on the 'Verify E-Sign' button.

How do you authenticate a signature? ›

10 useful steps of autograph authentication
  1. Apply the Burden of Proof. ...
  2. Ascertain the Provenance. ...
  3. Check Consistency with Authentic Examples. ...
  4. Make Sure the Paper, Pen and Ink Are Right. ...
  5. Assess Dissimilarities and Idiosyncracies in the Writing. ...
  6. Do a Forgery-Avoidence Inspection.

How do I verify my RSA token? ›

GMEP RSA SecurID Token Authentication Validation

Log in to the GMEP Portal (www.eginniemae.net) and click on the RSA Token Validation tab and enter User ID (not case sensitive) and Passcode. Note: The Passcode is your 4-digit PIN followed by your 6-digit Tokencode (the 6 digits displayed on your RSA SecurID token).

How to verify RSA private key? ›

Procedure
  1. Log in the server as 'root' using SSH, or use the WHM: Terminal feature.
  2. Change into the /root/. ssh/ directory on the server. ...
  3. Use the command 'ls -al' to list all files in the directory, and locate your private/public keypair you wish to check. ...
  4. Use the following command, to test both files. ...
  5. That's it.
Oct 31, 2021

How does signing work in RSA? ›

Digital signing with RSA is roughly equivalent to encrypting with a private key. Basically, the signer computes a message digest, then encrypts the value with his private key. The verifier also computes the digest and decrypts the signed value, comparing the two.

What is the RSA based signature algorithm? ›

RSA (Ron, Adi, and Leonard) is a very popular asymmetric key Cryptography algorithm. It is used mainly for encrypting messages, but RSA can also be used to sign messages digitally with a few changes. Key generation in RSA Signature Scheme is carried out in the same manner as in RSA encryption.

How do you verify a signature in crypto? ›

Signature Verification​

To verify a signature: You need the message, the signature (r, s, v), and the public key or Ethereum address of the signer. Extract the public key from the signature using the recovery id (v). Verify that the signature corresponds to the given message hash and extracted public key.

How big is a RSA signature? ›

The signature is 1024-bit integer (128 bytes, 256 hex digits). This signature size corresponds to the RSA key size. Run the above code example: https://repl.it/@nakov/RSA-sign-verify-in-Python. Run the above code example: https://repl.it/@nakov/RSA-verify-tampered-message-in-Python.

How to calculate RSA key? ›

Key Generation
  1. Choose two large prime numbers (p and q)
  2. Calculate n = p*q and z = (p-1)(q-1)
  3. Choose a number e where 1 < e < z.
  4. Calculate d = e-1mod(p-1)(q-1)
  5. You can bundle private key pair as (n,d)
  6. You can bundle public key pair as (n,e)
Jul 2, 2024

How to do RSA by hand? ›

Step:
  1. 1) Calculate value of n = p × q, where p and q are prime no.' ...
  2. 2) calculate Ø(n) = (p-1) × (q-1)
  3. 3) consider d as public key such that Ø(n) and d has no common factors.
  4. 4) consider e as private key such that (e × d) mod Ø(n) = 1.
  5. p =7, q= 11, e = 13.
  6. Use step 2 and 4 of RSA algorithm to calculate private key.
May 23, 2024

How is RSA used for authentication? ›

RSA not only has the advantage of using a public key, it also has the advantage of authenticating prior to decryption. The hash of the RSA Public key must be stored in the eFUSE. UltraScale FPGAs support RSA-2048 for the purpose of authenticating the bitstream data before it is sent to the decryptor.

How do I know if my signature is valid? ›

Signature validity is determined by checking the authenticity of the signature's digital ID certificate status and document integrity. To verify authenticity, the validator checks if the signer's certificate or its parent certificates are trusted.

How do you prove a signature? ›

How can you tell if someone forged a signature?
  1. Compare to known genuine signatures: Look for similarities and differences in writing style.
  2. Examine consistency: Assess overall consistency in the signature's characteristics.
  3. Pen pressure: Analyze variations in pen pressure applied during signing.
Sep 26, 2023

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