Finite Field
A finite field is a field with a finite number of elements. In such a field, the number of elements is always a power of a prime.
Finite field is a college-level concept that would be first encountered in an abstract algebra course covering rings and fields.
Prerequisites
Congruence: | A congruence is an equation in modular arithmetic, i.e., one in which only the remainders relative to some base, known as the "modulus," are significant. |
Field: | A field is a ring in which every nonzero element has a multiplicative inverse. The real numbers and the complex numbers are both fields. |