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Slide #8 in the presentation you linked to describes the way Käsper and Schwabe pack the bits of the AES data blocks into CPU registers. According to the slide, what they're doing is processing eight 128-bit AES blocks in parallel, using eight 128-bit XMM registers to store them. They're not doing basic "naïve bitslicing", which would involve using 128 $n$-...

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Khazad has an $8\times 8$ MDS matrix $A$ used as the diffusion layer. The augmented matrix $[I|A]$ generates a $[n,k,d]=[16,8,9]$ MDS code over $GF(2^8).$ The implications are: The minimum number of active Sboxes, i.e., the minimum branch number across 2 rounds is $9,$ the minimum weight of the MDS code. MDS codes have a fully known weight distribution, so ...

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