Linear Algebra - Hamming's error correcting codes - 02 - Properties of Hamming matrices
Channel: Arthur Parzygnat
Date: 25/03/2019

More properties of Hamming matrices are studied. The Hamming matrix is capable of identifying the location of a possible error during the transmission of a signal.

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 is on an example of error correction using Hamming matrices: https://youtu.be/Le-Nz-wc_B0

The previous video on Special Topics in Linear Algebra is on Hamming matrices: https://youtu.be/1DN2zDg5ew8

These videos were created during the 2019 Spring semester at the UConn CETL Lightboard Room.