Alice wants to send Bob a message M. Assuming you are using public key cryptography, Pra , Pua - Alice’s private-public

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Alice wants to send Bob a message M. Assuming you are using
public key cryptography,
Pra , Pua - Alice’s private-public key pair
Prb , Pub - Bob’s private-public key pair
1a. Construct a message that is confidential and authentic.
Alice ---- C = Select one of the
following ---> Bob
a) "E(PrA: (E(PuB: Message)))"
b) "E(PuA: (E(PrB: Message)))"
c) "E(PrB: (E(PuA: Message)))"
d) "E(PrA: (E(PrB: Message)))"
e) "E(PuB: (E(PuA: Message)))"
1b. Construct a message that has integrity and is also
confidential but not authenticated.
Alice ---- C = Select one of the
following ---> Bob
a) "E(PuB: Message) + Hash(Message)"
b) "E(PrA: Message) + Hash(Message)"
c) "E(PrA: E(PuB: Message)) + Hash(Message)"
1c. Construct a message that is confidential and authentic and
has integrity.
Alice ---- C = Select one of the
following ---> Bob
a) "E(PrA: (E(PuB: Message))) + Hash(Message)"
b) "E(PuA: (E(PuB: Message))) + Hash(Message)"
c) "E(PuA: (E(PrB: Message))) + Hash(Message)"
d) "E(PrA: (E(PrB: Message))) + Hash(Message)"
1d. Construct a message that has integrity but is not
confidential or authenticated.
Alice ---- C = Select one of the
following ---> Bob
a) "Message + Hash(Message)"
b) "E(PrA: Message + Hash(Message))"
c) "E(PuB: Message + Hash(Message))",
"Message"]