How to guarantee existence of a finite field
86626
Finite fields, existence of field of order $p^n$,proof help
6855
Subfields of finite fields
16384
Proving a result in a given field
114519
An elementary question regarding a multiplicative character over finite fields
144394
Order 2 elements in finite characteristic field
61550
Existence of elements of order $p^k$ in a finite group
154360
Show $f$ can't be irreducible over a finite field if $f^\prime$ is the zero polynomial.
76790
Condition to guarantee $f=0$ on $[a,b]$
104851
A finite field cannot be an ordered field.
68753
Elements in finite field extensions
118610
Are all extensions of finite fields cyclic?
71608
A property of finite field of order $2^n$
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
114578
Design properties of the Rijndael finite field?
23526
Complexity of arithmetic in a finite field?
20218
Is this field extension finite?
79226
Discrete non archimedean valued field with infinite residue field