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Lecture 19: Error-Correcting Codes—Hamming Codes

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MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
Instructor: Peter Shor
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

We show how to send information over a noisy channel and correct errors. We describe the 7-bit Hamming code and explain how it works. We then define linear codes and show how they work in general. Finally, we discuss more general Hamming codes.

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