Spiralize the carrots, or grate them, and put them in a large bowl.
Add the onion, garlic and grated ginger.
In a separate small bowl, combine olive oil, dijon mustard, lemon juice, applesauce, salt, and pepper, and whisk them together.
Pour over the carrot mixture and toss them together.
Adjust the seasoning if necessary, then cover and refrigerate for at least 30 minutes before serving.
Sprinkle with sesame seeds (optional).