Primitive element (finite field)
= Primitive element (finite field)
{wiki=Primitive_element_(finite_field)}
In the context of finite fields (also known as Galois fields), a **primitive element** is an element that generates the multiplicative group of the field. To understand this concept clearly, let's start with some basics about finite fields: 1. **Finite Fields**: A finite field \\( \\mathbb\{F\}_\{q\} \\) is a field with a finite number of elements, where \\( q \\) is a power of a prime number, i.e.