Low carb doesn't mean no carb. If you limit meals to 5-10 grams of carbs or less, most low carbers would be happy. [1]
One of the more extreme low carb diets, the Atkins Induction Phase, allowed up to 20 grams per day. Other diets such as keto or The Zone allow 50-100 grams.
[1] http://www.bodyrecomposition.com/nutrition/how-many-carbohyd...