Which BLS curve/DKG algorithm is going to be used for Casper?

Its easy to get confused on this point, because the other post about offchain collation headers says:

The confusion is because the old post has the best description of the beacon chain. The new post only focuses on the BLS signatures, and mentions the beacon chain only in passing. Perhaps it would help to have a full overview of the beacon chain and the signature scheme, in a single document.

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