Wash cucumbers (do not peel) and slice very thin. (a Mandolin works best) place in a bowl, sprinkle with salt and cover with a plate which will rest directly on the cucumbers. Place a heavy weight on top and refrigerate for a few hours.
Combine sugar, vinegar and white pepper in saucepan and heat until sugar is melted. Cool. Pour over cucumbers, which have been well drained. Chill in refrigerator two or three hours before serving.