What it looks like
The white powder has a name: efflorescence. In Buffalo basements it shows up in a few ways.
Fuzzy white crust
Soft, feathery crystals on the wall that brush off easily.
White lines along the mortar
In block and stone walls, the crust follows the mortar joints in bands.
A ring low on the wall
A white line a foot or two up from the floor, about as high as water soaks in.
Crust around a crack
The salt traces the path water takes through a crack.
Bubbling paint
Paint or coating lifts in blisters with white powder behind it.
Gritty spots on the floor
Salt also forms on the slab where water comes up from below.
To check it is salt and not mold, rub some between your fingers. Salt feels gritty and dissolves in a drop of water.