Reed-Muller Codes

Reed-Muller codes are a type of error-correcting code used to ensure data integrity during transmission. They work by representing information as algebraic functions over binary variables, allowing the detection and correction of errors that may occur when data travels through noisy channels. These codes are constructed systematically, making them efficient for both encoding and decoding. Reed-Muller codes are valued for their strong error correction capabilities and are used in applications like satellite communications and data storage, helping ensure messages arrive accurately even in challenging transmission environments.