18.200 | Spring 2024 | Undergraduate

Principles of Discrete Applied Mathematics

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

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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