The top workhorse in the theory of error correcting codes, used from Mars exploration down to those weird black and white squares in QR codes... The Reed--Solomon Codes, based on univariate polynomials. Lecture 11c of "CS Theory Toolkit": a semester-long graduate course on math and CS fundamentals for research in theoretical computer science, taught at Carnegie Mellon University.
Resources for this lecture:
. Books by:
. MacWilliams & Sloane
. van Lint
. Roth
. Guruswami, Rudra, & Sudan
(all have "theory" and "codes/coding" in their titles)
Taught by Ryan O'Donnell (https://www.cs.cmu.edu/~odonnell)
Course homepage on CMU's Diderot system: https://www.diderot.one/course/28/
Filmed by Cole H. for Panopto (http://www.panopto.com/)
Thumbnail photo by Rebecca Kiger (https://www.rebeccakphoto.com/)