According to this website, http://web.stanford.edu/~trzhao/CS73N/characters/luka.html Her first name was chosen to appel to international fans (i.e. people outside of Japan, etc.)
It pretty much is explainable by now what the name means.
There is more meaning to Miku's name then Luka's, as well as the Kagamine's.
nnnnnnnnnnnnnnnnnnnnnnnnnn genteee.o nome significa canções para todo o mundo como se passa perfume.