publicMasters/1InformationTheory.md

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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)