# Is it acceptable to add a setup algorithm in the public key encryption?

I saw in the paper How to Use a Short Basis: Trapdoors for Hard Lattices and New Cryptographic Constructions at page 29 that key generation algorithm of PKE can use a common random matrix $$A$$.

• Is it OK to add a setup algorithm that generates some common public parameters?
• To get better answers you might consider expanding on why you considered it a potential problem. – Maeher Jan 9 at 15:56