Shannon's channel coding theorem

Shannon's channel coding theorem establishes a fundamental limit on how much information can be transmitted over a noisy communication channel without errors. It asserts that for any given level of noise in the channel, there exists a maximum rate of information transmission, called the channel capacity, where messages can be sent with an arbitrarily low probability of error if appropriate coding techniques are used. Essentially, it highlights the potential of reliable communication despite interference, guiding engineers in designing systems that optimize data transmission efficiency and accuracy.