Prepare the grill or cooker for the indirect heat method. Trim the brisket fairly but leave the fat cap on the top in place, up to 1/2 inch in thickness.
Mix all of the dry ingredients until blended to form a rub. Rub the brisket completely with the spice mixture. Place the brisket, fat side up on the grid. Cover.
The cooking temperature should be at 225 degrees so lighted charcoal may be required depending on the unit that is being used. Place a few chunks of Oak to the hot coals during the cooking process. Depending on the weather conditions outside, figure on an hour to and hour and a quarter per pound for cooking times. When completely cooked, remove from the grill and let it cool for approximately 20 minutes prior to slicing. Slice against the grain and serve with your favorite Bbq sauce on the side.