Question

Anarkali digitally signs a message and sends it to Salim. Verification of the signature by Salim requires

Choose one option
Official answer and solution
Official answer
A
From
Official GATE 2016 answer key

Solution

Apply the fundamental principles of asymmetric digital signature generation and verification.

In public-key cryptography, a digital signature provides message integrity, authentication, and non-repudiation.

The protocol operates as follows:

  1. Signing (by Anarkali): Anarkali computes the hash of the message h=H(M)h = H(M) and encrypts the hash using her private key KAnarkali, privateK_{\text{Anarkali, private}} to generate signature σ\sigma.
  2. Verification (by Salim): Salim receives message MM and signature σ\sigma. He decrypts σ\sigma using Anarkali's public key KAnarkali, publicK_{\text{Anarkali, public}} to recover the original hash hh, and compares it with his locally computed hash H(M)H(M).

Because only Anarkali's public key can decrypt something encrypted by Anarkali's private key, verification requires Anarkali's public key (option A).

Final answer

A

Common trap

Confusing public key encryption (where recipient's public key is used to encrypt) with digital signing (where sender's private key is used to sign and sender's public key is used to verify).

The answer is the one in the official GATE answer key. The solution is this site's own explanation.

Source

Paper
GATE 2016 Computer Science and Information Technology (CS) Session 2
Question
33 of 65, printed as CS Q.23
Section
Computer Science and Information Technology

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