Pseudorandom generator and AE-secure encryption How would you answer the following question (I have to translate it from German):

The existence of a pseudorandom generator implies the existence of a AE-Secure encryption scheme (AE = authenticated encryption)
YES or NO

I would say &quot;NO&quot; because (as far as I understand) AE-secure schemes should use two keys (one for encryption and one for authentication).
But maybe I'm wrong because of missing background knowledge.
Yes.  The existence of a secure pseudorandom generator (PRG) implies the existence of all sorts of other symmetric-key primitives, including a secure PRF, a secure block cipher,  a secure MAC, etc.  That is enough to build secure authenticated encryption.