Lecture 19: Error-Correcting Codes—Hamming Codes

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 Uploaded 17-12-25 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. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments. Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices