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How do the schemes laid out here compare with zfec (https://github.com/tahoe-lafs/zfec)?

zfec is an implementation of Reed-Solomon coding, the class of codes discussed in the first part of the slides.

To be precise zfec uses Vandermonde codes and it is derived from my old fec library from 1996-97. See http://info.iet.unipi.it/~luigi/research.html#fec (in 90's web style).