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Consider private key crypto-system has $3$ keys, $3$ plain-texts and $4$ cipher-texts:

$K=\{ k1,k2,k3 \}$
$M=\{m1, m2,m3 \}$
$C=\{c1,c2,c3,c4 \}$

In a valid encryption table find the key that maps two different messages to same cipher text:

  1. k1
  2. k2
  3. k3
  4. No key can map
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Encryption:
2 Messages -> 1 Key -> 1 Cipher

Decryption:
1 Cipher -> 1 Key -> 1 Message

Since decryption of 1 cipher to two messages using 1 key is not possible, so answer will be D
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