Galois Field

A Galois Field, often denoted as GF(p^n), is a mathematical structure used in areas like coding theory and cryptography. It consists of a finite number of elements, where you can perform addition, subtraction, multiplication, and division (except by zero) while following specific rules. The "p" is a prime number, and "n" indicates the number of elements linked to that prime. Galois Fields are essential for error detection and correction in digital communications, as they help ensure reliable transmission of data by enabling complex mathematical operations within a limited set of numbers.