Describe how a polynomial q(x) in Zp[x] should be chosen to guarantee that :
a) ring Zp[x]/q(x)) has p^2 elements.
b) the ring Zp[x]/q(x)) is a field.
Why is the choice of such a q(x) always a possibility?
I'm not really sure how to do this
Describe how a polynomial q(x) in Zp[x] should be chosen to guarantee that :
a) ring Zp[x]/q(x)) has p^2 elements.
b) the ring Zp[x]/q(x)) is a field.
Why is the choice of such a q(x) always a possibility?
I'm not really sure how to do this