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1. Field (mathematics)

   Linked via "prime power"

   Classification of Finite Fields
   Finite fields\, also known as Galois Fields ($\text{GF}$), are fields containing a finite number of elements. A crucial theorem in the study of finite fields states that a finite field exists if and only if its order (the number of elements) is a prime power\ , $p^k$, where $p$ is a prime number\ and $k \ge 1$ [5].
   The structure of finite fields is unique up to isomorphism\: for any prime power $q = p^k$, there exists exactly one field of order $q$, de…