Uh, okay. Optimization math fu for encoding only. There are quite a few possible ECC constructions to select for a given application considering the error mode

Uh, okay. Optimization math fu for encoding only. There are quite a few possible ECC constructions to select for a given application considering the error modes, computational/energy/time budgets, and channel type and rate. You can, for example, use a turbo code if you have an enormous stream channel ( compared to the actual average symbol size and rate) with lots of noise. Another possible use-case is having copious amounts of flash storage but much less data with the intent of leveled write counts well beyond wearing of N% of cells. It's an exercise for the reader to choose an appropriate algorithm for the intended application.