Boil soba (buckwheat) noodles according to package directions, drain, and rinse with cold water to cool.
Using a vegetable peeler, stripe cucumber by partially peeling, then cut in half lengthwise and remove seeds with a spoon. Next, slice cucumbers 1/4 inch thick.
Make dressing by blending last 7 ingredients together until smooth. Toss noodles, with vegetables, soy sauce, dressing and sesame seeds until mixed well. Refrigerate a few hours before serving, if possible.