Classic Cabbage Kimchi

Name: Classic Cabbage Kimchi
Ingredients: 6 pounds Napa cabbage; 4 tablespoons kosher salt; 2 tablespoons light brown sugar; 1/3 cup minced garlic; 1/3 cup minced fresh ginger; 1/4 cup hot smoked paprika (pimentón); 1/4 cup Korean chile powder; 1 tablespoon crushed red pepper flakes; 2 tablespoons freshly squeezed lime juice; 1/2 cup Asian fish sauce; 1/2 cup brine shrimp (available in a jar at Asian food stores), finely chopped; 2 bunches scallions, cut into 1/2-inch pieces (about 12 scallions)