Cours de Florent. # Information Theory ## Coding theory When we store or transmit data, no system is perfect and some bits of information are incorrectly stred/retrieved or transmitted. The purpose of this field is to come up with coding and decoding methods that allows to detect and correct errors with a high probablilty. We shall provide an introduction with simple codes. ## Topics covered on the board * Binary symmetric channel * Coding and decoding one bit to obtain arbitrary error * example for a probability of error of 1/6 repeating 3 times, repeating 5 times. This is essentially a practical version of Shannon's noisy-channel coding theorem. [Details here](https://en.wikipedia.org/wiki/Binary_symmetric_channel)