How did Palpatine get the name "Sidious"?

Question

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?

Answer 1

His name was chosen by his mentor Darth Plagueis, presumably because of his insidious nature.

Plagueis planted his hands on his hips and laughed without mirth. “And of what possible use do you think a person of your nature would be to the Jedi Order? You’re heartless, ambitious, arrogant, insidious, and without shame or empathy. More, you’re a murderer.” He held Palpatine’s hooded gaze and watched the youth’s hands clench in fists of rage. “Careful, boy,” he said after a moment. “You are not the only being in this plush stateroom with the power to kill.”

_{^{Darth Plagueis by James Luceno}}

and

Palpatine stared at the floor, then genuflected, uttering, “It is my will to join my destiny forever with the Order of the Sith Lords.”
Plagueis extended his left hand to touch him on the crown of the head. “Then it is done. From this day forward, the truth of you, now and forever more, will be Sidious.”