In a bowl, thoroughly mix minced tuna, bread crumbs, green onion, carrot, ginger, cilantro, sesame oil, ketchup, soy sauce, cumin, salt, pepper, and egg. Cover, and refrigerate for 30 minutes.
Preheat oven broiler.
Form tuna mixture into 6 patties, and place in a broiler pan on top oven rack. Cook, uncovered, 4 minutes per side, or until easily flaked with a fork. Serve on hamburger buns with lettuce and tomato.
