Symmetric key encryption: Suppose $($KeyGen$,$ Enc, Dec$)$ is an

IND$-$CPA secure symmetric key encryption. We define the following

new encryption algorithms, are the new schemes still IND$-$CPA

secure$?$ Briefly explain why. If you believe it is insecure, provide an

explicit attacker violating the IND$-$CPA definition.

Q$4$: $En{c}_1(k,m)$ is defined as follows:

$-$It runs Enc$(k,m)$ and obtains $c_0$;

It runs Enc$(k,m)$ again to obtain $c_1.$ The final ciphertext

will be $(c_0,c_1).(10$ pts$)$

Q$5$: $En{c}_2(k,m)$ is defined as follows:

$-$It runs Enc$(k,m)$ and obtains $c_0$;

$-$It runs $f$ on $m$ to obtain $c_1,$ where $f$ is a pseudorandom

generator. The final ciphertext will be $(c_0,c_1).(10$ pts$)$ NO CHATGPT OR AI PLEASE