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Is it possible, given two ciphertexts c1 and c2 which encrypt messages m1 and m2 using ElGamal, to compute a third ciphertext c3 such that

Is it possible, given two ciphertexts c1 and c2 which encrypt messages m1 and m2 using ElGamal, to compute a third ciphertext c3 such that c3 encrypts m1*(2m2)? How? Show why your answer is correct.

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