For breeders, replace the eff letter with cells burned/cells charged:
BWXN-5/40 50 (water + suc neutral, uses 5 cells to charge 40, 50EU/t - although the EU rating can probably be assumed to be 10x cells burned for breeders)
Actually when switching to the X series air/water cooling is ignored; you already have to have fixed external cooling in place; air/water no longer really matters in classifying reactor designation; except what's already covered in the breeder extension for positive/negative.
Efficiency should be calculated as the average number of /reactions/ a uranium cell produces that have a meaningful result (either eU gen, or enrichment). However the fact of 9K+ breeders being more efficient at enriching isn't reflected in the designation system. The power number can be dropped however; it should be deterministic based on the uranium cells.
BXN-5/40-9K
(9000 heat range running temperature)