Linear Algebra - Hamming's error correcting codes - 04 - Parity bits

Parity bits are provided for Hamming (7,4). This error-correcting scheme is compared to the linear algebra method in an explicit example. Apologies again for the cutoffs. I think I will have to switch video editors at this point. This is part of a series of lectures on special topics in linear algebra https://www.youtube.com/playlist?list=PLSx1kJDjrLRSS4Aio9WfQlNnH6X6pC_8t. It is assumed the viewer has taken (or is well into) a course in linear algebra. Some topics may also require additional background. Topics covered include linear regression and data analysis, ordinary linear differential equations, differential operators, function spaces, category-theoretic aspects of linear algebra, support vector machines (machine learning), Hamming's error-correcting codes, stochastic maps and Markov chains, tensor products, finite-dimensional C*-algebras, algebraic probability theory, completely positive maps, aspects of quantum information theory, and more. The next video on Special Topics in Linear Algebra changes to an independent topic, which is on The Functional Calculus (for matrices): https://youtu.be/ubxQ6TYd15Q The previous video on Special Topics in Linear Algebra is on an example of error correction using Hamming matrices: https://youtu.be/Le-Nz-wc_B0 These videos were created during the 2019 Spring semester at the UConn CETL Lightboard Room.