Grilled Oysters with Chorizo Butter

Name: Grilled Oysters with Chorizo Butter
Ingredients: 6 tablespoon unsalted butter at room temperature; 3 ounce dry cured Spanish chorizo, casings removed and chopped in 1/2-inch pieces; 2 teaspoon olive oil; 1 clove garlic, peeled and minced; 1/2 teaspoon smoked paprika (optional depending on the flavor of the chorizo); 1/8 teaspoon cayenne pepper (optional depending on the flavor of the chorizo); 18 large oysters, scrubbed clean; rock salt (for serving plate, optional); lime wedges (to taste)