Corned Beef Brisket

Name: Corned Beef Brisket
Ingredients: 2 tablespoons brown sugar; 3 to 4 large garlic cloves; 3 cups water; ¾ cup coarse salt; 2 bay leaves; 1 quart cold water; ½ teaspoon paprika; 1 to 2 tablespoons mixed pickling spices; saltpeter mixture (see note at end); 5- to 6-lb. piece of beef brisket, well trimmed