Combine salt and lime rind; set aside.
Pour oil to depth of 2 inches into a large Dutch oven; heat to 360°.
Peel plantains; slice plantains lengthwise very thinly, using a mandoline.
Fry plantain strips, 4 or 5 at a time, 30 seconds on each side or until golden. Drain on paper towels. Sprinkle immediately with salt mixture.