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Lecture 18: Transmitting Information Reliably over a Noisy Channel & Shannon’s Noisy Coding Theorem

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MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
Instructor: Ankur Moitra
View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0

How do you transmit information reliably over noisy channels? We first discuss simple codes: repetition codes. Shannon’s noisy coding theorem shows much better codes exist. We prove the simplest case of this theorem — for the binary symmetric channel.

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