Start by marinating peeled and deveined shrimp in a mix of olive oil, lemon juice and dill for about 1 hour. Boil or steam asparagus tips, then drain and set aside. Cook the linguine to al dente and drain. Saute the marinated shrimp in a skillet, then add them to the cooked linguine along with the asparagus tips. Season with salt and pepper to taste, and serve immediately.