Mastering Probabilistic Encryption

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10 Questions

Which algorithm outputs a key according to some distribution?

Gen

Which algorithm takes a key and a message as input and gives a ciphertext as output?

Enc

Which algorithm takes a key and a ciphertext as input and gives a message as output?

Dec

What does perfect correctness imply about the Dec algorithm?

It is deterministic

What does Pr[K = k] denote?

The probability that the key output by Gen is equal to k

What is the purpose of the Gen algorithm?

The purpose of the Gen algorithm is to output a key according to some distribution.

What does Enc algorithm do?

The Enc algorithm takes a key and a message as input and gives a ciphertext as output.

What does Dec algorithm do?

The Dec algorithm takes a key and a ciphertext as input and gives a message as output.

What does perfect correctness imply?

Perfect correctness implies that the Dec algorithm is deterministic and for any key k, message m, and ciphertext c output by Enc, Dec(k, c) = m with probability 1.

What do Pr[K = k] and Pr[M = m] denote?

Pr[K = k] denotes the probability that the key output by Gen is equal to k, and Pr[M = m] denotes the probability that the message takes on the value m.

Test your knowledge of probabilistic encryption algorithms with this quiz! Learn about the \texttt{Gen}, \texttt{Enc}, and \texttt{Dec} algorithms and their functionalities. Explore key spaces and understand how these algorithms work together to provide secure encryption.

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