Note that this topic assumes the Bible is correct, that objective morality exists and that no being can create or conceive of something greater than itself; all of which are claims made by many christians.
A&E were perfect, right? Since they were perfect, they could only do what was right and were incorruptible.
They:
Ate from the tree.
Covered themselves when they realized they were naked.
Hid from God when he came looking for them
[1].
Were punished for doing those things.
So, logically, God is not good, and therefore not perfect.
Here's another side of this argument, which is a short continuation of the "They:" list.
They also:
"Passed on" their flaw (which they had since they were created, since perfect beings cannot be corrupted).
Their flaw was there since their creation.
A&E were supposedly "God's perfect/best handiwork".
They were created with a flaw.
Therefore God cannot be perfect.