Wash the cucumbers thoroughly, peel in them alternating strips if desired, then cut into 1/8-inch slices.
Set a colander over a mixing bowl and add the cucumber slices. Sprinkle with salt, toss to combine and set aside for 20 minutes to drain excess liquid.
Combine the vinegar and sugar in a small bowl and stir until the sugar is completely dissolved.
Pour off any liquid that has accumulated in the mixing bowl and add the cucumber slices.
Add the dressing and dill, toss to combine, then cover and refrigerate for 1 hour.
After chilling, drain the cucumbers again, transfer to a serving dish and garnish with a sprig of dill if desired.