In a large bowl, mix flour, pepper, egg, garlic, soy sauce and water in a bowl until smooth.
Stir in the turnip, carrot and green onion.
Heat half of the oil in a large skillet over medium heat (350 degrees F in an electric skillet). Pour about 1/4 cup of batter for each pancake into skillet. Flatten with a fork into a 3-inch circle.
Cook until edges look dry and bottom is golden, about 3 to 4 minutes. Turn over once. Cook until bottom is golden and crispy. Repeat with remaining batter, adding remaining oil as needed. Pancakes will be moist in the center.
Combine dipping sauce ingredients in a small bowl. Serve with warm pancakes.