  We study the holographic quantum error correcting code properties of a
Sierpinski Triangle-shaped boundary subregion in $AdS_4/CFT_3$. Due to existing
no-go theorems in topological quantum error correction regarding fractal noise,
this gives holographic codes a specific advantage over topological codes. We
then further argue that a boundary subregion in the shape of the Sierpinski
gasket in $AdS_5/CFT_4$ does not possess these holographic quantum error
correction properties.
