Based on this question about Palpatine's first name being Sheev, I have a follow up question about Sidious being his Sith name. When he gave the Sith name to his apprentices Dooku and Anakin he bestowed it; Darth Tyranus and Darth Vader respectively.
Going back at the question, did it also happen to Palpatine when he became a Sith?
In other words, did his master Darth Plagueis bestow him the name Darth Sidious or did Sidious get his name when he killed Hego Damask?
Is there any evidence from the novel by James Luceno "Darth Plagueis" that answers the question?