Algebraic codes

Algebraic codes are methods used in digital communication to detect and correct errors in transmitted data. They use principles from algebra, specifically structures called finite fields, to encode information into patterns that can identify mistakes if the data gets distorted during transmission. By applying algebraic rules, the receiver can find and fix errors without needing to resend the entire message. These codes improve the reliability of data transfer in systems like satellite communication, mobile networks, and data storage, ensuring information remains accurate even in imperfect conditions.