In a small bowl, combine the marinade ingredients. Mix well. Place the flank steak in a large plastic bag. Pour the marinade over the meat. Squeeze out the excess air and seal the bag. Refrigerate overnight.
Remove flank steak from the marinade and grill on both sides (about 6 minues per side). Remove and cool for 30 minutes. Refrigerate meat until cold (at least 2 hours).
Boil noodles until cooked al dente. In a bowl, toss together the noodles, sesame oil, sesame seeds, soy sauce, scallions, red pepper and carrots. Adjust seasonings as desired.