Trim excess fat from the brisket, leaving about 1/4 inch of fat for flavor.
Mix all dry rub ingredients in a bowl and generously coat the brisket.
Wrap the brisket in plastic wrap and refrigerate for at least 4 hours, preferably overnight.
Preheat the smoker to 225°F (107°C).
Add soaked wood chips to the smoker.
Place the brisket in the smoker and smoke for about 1 hour per pound, or until the internal temperature reaches 195°F (90°C).
Wrap the brisket in foil and let it rest for at least 30 minutes before slicing.
Slice the brisket against the grain and serve with your favorite barbecue sauce.