18.200 Principles of Discrete Applied Mathematics
18.200 Principles of Discrete Applied Mathematics (Spring 2024, MIT OCW). Instructors: Prof. Ankur Moitra, Prof. Peter Shor, and Susan Ruff. This course will teach you illustrative topics in discrete applied mathematics, including counting, generating functions, probability, linear optimization, algebraic structures, basic number theory, information theory, and coding theory. It is a CI-M (Communication Intensive in the Major) course and thus includes a writing component. (from ocw.mit.edu)
| Lecture 19 - Error-Correcting Codes - Hamming Codes |
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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