Google assigned the hashing algorithm (maybe, assuming it wasn't chosen in some law somewhere, I know this CSAM hashing is something the big tech work on together).
Once the hashing algorithm was assigned, individual values are computed or calculated.
I don't think the judge's wording is all that bad but the word "assigned" is making it sound like Google exercised some agency when really all it did was apply a pre-chosen algorithm.
Either way I think the judge's wording makes sense.