Samsung didn’t let the holidays get in the way of patching security holes - it is already rolling out an fix for the kernel vulnerability for Exynos devices, at least for the highly popular Galaxy S III phone.
The updated software is I9300XXELLA and is available only in the UK for now. We suspect the updates for other regions are just around the corner, but Galaxy S III owners in the UK should update as soon as possible - the update is available both as OTA and via Kies.
The update also comes with a new bootloader - the first bootloader update for the Galaxy S III since its launch. SamMobile speculates that this bootloader fixes the sudden death issue, though there's no official confirmation from Samsung about that.