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So what was the code that was finally sought after and developed mentioned at the very end of the article?

Turbo codes and low density parity check codes are two classes of iteratively-decoded capacity approaching codes, amongst others.

Ironically, LDPC was actually developed in the 60s by Robert Gallagher, but were reinvented in the 90s when the decoding was practical.

first i'm hearing of this. i only want as far gray codes i believe. thanks for the share!