A Galois Field, often denoted as GF(p^n), is a mathematical structure used in various areas such as coding theory and cryptography. It consists of a finite set of elements where you can perform addition, subtraction, multiplication, and division (except by zero) while still remaining within the set. The field is named after the mathematician Évariste Galois, who contributed significantly to the field of abstract algebra. Galois Fields are particularly important because they provide a way to work with numbers in a modular arithmetic system. For example, GF(2) contains just two elements: 0 and 1. This simplicity makes Galois Fields useful for error detection and correction in digital communications, as well as in algorithms for cryptography.