I'm not sure why you should ever use LSD radix sorting.
Benefits of MSD:
LSD- MSD - , LSD-radix - , , LSD radix, , radix MSD. /, , , LSD-radix MSD.
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@templatetypedef .MSD radix .wikipedia .
The biggest advantage to sorting LSD radix for me is speed because it is a branchless algorithm. It makes it easy to sort LSD radix for relatively short keys of a fixed length. LSD stability is also a nice feature.