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Please, I need someone who´s good at (early middle) Chinese language(s) and history to help me out with a possible dynasty name. (Any other input is welcome, too, of course.)

Let us assume the Tuyuhun Kings, who ruled quite a vast territory but somehow aren´t considered part of "official" Chinese history AFAII, somehow manage to carve out some core Chinese territory from, say, the Northern Wei, and then stop calling themselves "Kings of Henan" and instead claim the title of Huangdi/emperor in the Chinese sense. (I´m thinking late 5th/early 6th century CE).

What would be plausible names for their dynasty?
(Were there some predetermining / limiting factors? Or was that relatively arbitrary and they could have chosen anything prestigious?)

Thanks a lot in advance!
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