The Concept of Involutory Key

Is the key given in the previous problem an involutory key?

Yes, the given key in the previous problem is an involutory key, which is true.

Understanding the Involutory Key

What is the Involutory Key? The definition of an involutory key is as follows: If an encryption function is identical to the decryption function, then the key k is said to be an involutory key. So, if you use the same key to encrypt and decrypt the message, the key becomes an involutory key. In other words, suppose that the encryption function is E() and the decryption function is D(). Then, for any value of x, the following equation must hold true: D(E(x)) = x. Since the key used for encryption is the same as the key used for decryption, the equation can be expressed as: D(E(x, k)) = x, where k is the key used for both E() and D(). Therefore, the statement "The key given in the previous problem is an involutory key" is true as the key used in the previous problem has been identified as an involutory key.
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