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The Hamming Metric

In this video, we introduce the Hamming metric on binary vector spaces and show that this is a normed vector space and hence a metric space. This is lecture 23 (part 1/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4220 - Abstract Algebra I at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: https://drive.google.com/file/d/1gPi4... This lecture is based upon Section 8.1 of Abstract Algebra: Theory and Applications (http://abstract.ups.edu/) by Tom Judson. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.