## What Does Finite Field Mean?

In mathematics, a finite field is a field that contains a finite number of elements. In other words, a finite field is a finite set on which the four basic operations – addition, subtraction, multiplication and division (excluding division by zero) – are defined and satisfy the field axioms/rules of the arithmetic. Finite fields are an important area of mathematics and computer science and are widely used in geometry, finite geometry, algebraic geometry, number theory, coding theory and cryptography.

A finite field is also known as Galois field.