Noisy-channel coding theorem

The Noisy-channel coding theorem states that it is possible to reliably send messages over a communication channel that introduces errors, as long as the sending rate is below a certain limit called the channel's capacity. By using coding techniques, data can be structured so that the receiver can detect and correct errors caused by noise. Essentially, it guarantees that with appropriate encoding, the original message can be reconstructed accurately despite noise, ensuring efficient and reliable communication within the channel's limits.