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Fish lacks carbs and provides omega-3 fatty acids. You have a lot of zero-carb foods to choose from on a low-carb diet. All of the major proteins -- meat, poultry and fish -- are naturally free of carbs and sugar. A variety of oils, vinegars and seasonings are also on the carb-free list. But there are some exceptions.
Glycemic Index of 20 or Lower. Foods without carbohydrates, including meats, eggs and fish, do not have a GI index ranking and do not have a notable impact on your blood sugar levels. Ranked foods with a score of less than 20 also have minimal impact.