Slice the English cucumber in half or third, then slice each piece in half lengthwise, then slice the cucumber in half-moons.
Optional: Place the chopped cucumber on paper towels with a pinch of salt while you get everything else ready (this helps releasing some of the extra moisture). Peeling is optional per taste.
Peel the carrots, then cut them into matchsticks or julienne.
In a small bowl, whisk together soy sauce, rice vinegar, oil, sesame oil, Dijon mustard, honey, salt, and pepper until incorporated.
Slice the green onions, stir them together with the cucumber and carrots. Add a sprinkle of salt and pepper over the veggies, toss in the dressing, sprinkle sesame seeds and serve.
Notes
Soy Sauce can be replaced with lite Tamari or coconut aminos.