Boil the buckwheat noodles in boiling water and rinse them in cold water.
Julienne the cucumber and carrot.
Mix the sauce ingredients (soy sauce, vinegar, sugar, minced garlic, chili powder, and sesame oil).
Add the prepared sauce to the cooked noodles and toss well.
Top with vegetables, seaweed flakes, and a boiled egg, then drizzle with sesame oil.