You have to look at the effect of the noise on the statistics of the bits, since those are what's physically changing, and not the PCM output after all the error correction layers.
> You have to look at the effect of the noise on the statistics of the bits,
Yes. Soft combining (in systems designed for it) isn't even done on bits, it's done on the actual analog (well, a digitised version of the analog value, sometimes termed a "log likelihood ratio") values of the signal in question -- before any quantisation happens.
This isn't to say that you can't apply the techniques here (where stuff obviously gets quantised unless you can find a way to get the raw signal from the photodiodes), but you need access to bits with the least amount of error-correction involved (or find a way to infer what the statistics of the original raw bits are from what the decoding machinery outputs).