Slice the cucumbers thin, place them in a bowl, then sprinkle the cucumbers with salt and let them sit for 30 minutes. Water will draw out of the cucumbers. Remove the water from the bowl.
Combine the garlic, rice vinegar, soy sauce, chili paste, crushed red pepper (or cayenne powder), sugar, and sesame oil. Pour over the cucumbers and toss the cucumbers to coat.
Sprinkle a small amount of either crushed red pepper or cayenne pepper powder on top and serve.