Question: Say a public-key encryption scheme (Gen,Enc,Dec) for n-bit messages is one-way if any ppt adversary A has negligible probability of success in the following experiment:

Say a public-key encryption scheme (Gen,Enc,Dec) for n-bit messages is one-way if any ppt adversary A has negligible probability of success in the following experiment:

Gen(1ⁿ) is run to obtain keys (pk,sk).

A message m {0,1}ⁿ is chosen uniformly at random, and a ciphertext c Enc_pk(m) is computed.

A is given pk and c, and outputs a message m'. We say A succeeds if m'=m.

QUESTION: Can a deterministic public-key encryption scheme be one-way? If not, prove impossibility; if so, give a construction based on any of the assumptions introduced in this book

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