Question: 1 0 . If an encryption scheme is IND - CPA secure , show that the set Dec 1 ( m ) ( the set

10. If an encryption scheme is IND-CPA secure, show that the set Dec1
(m)(the set of all
ciphertexts that would decrypt to m) must not be of polynomial size in the security
parameter for any efficiently computable message m. Conclude in particular that a
public-key, deterministic encryption scheme (like vanilla RSA) can never be IND-CPA
secure.

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