Question: Tom sends an Elgamal ciphertext, encrypted under Anna's public key, to Anna. The public key is (p, q, g, h) , and the ciphertext is

Tom sends an Elgamal ciphertext, encrypted under Anna's public key, to Anna.

The public key is (p, q, g, h), and the ciphertext is (c1, c2) where c1 gr mod p, c2 m hr mod p

An adversary intercepts the ciphertext, and does the following:

He chooses s, t and computes:

  1. d1 gs mod p, d2 t hs mod p
  2. c1' c1 d1 mod p, c2' c2 d2 mod p

Then he sends (c1' , c2') to Anna.

What would be the decryption result obtained by Anna?

1: r t mod p

2: t m mod p

3: r s mod p

4: s m mod p

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