How to Make It
In a food processor, finely chop the garlic, lemongrass and shallots. Add the sugar, fish sauce, lime juice, vegetable oil and soy sauce and process to a paste. In a large shallow dish, coat the pork with the marinade. Cover and refrigerate for at least 1 hour.
In a large bowl, cover the rice vermicelli with cold water and let soak until pliable, about 20 minutes.
In a mortar, using a pestle, pound the garlic cloves to a paste with the chiles and sugar. Stir in the fish sauce, cilantro, mint, lime juice and water.
Bring a large saucepan of water to a boil over high heat. Drain the rice vermicelli and add it to the boiling water. Cook, stirring, until barely tender, about 1 minute. Drain the vermicelli. Rinse the vermicelli in cold water and drain thoroughly. Transfer the vermicelli to a large bowl, add the cilantro-and-mint dressing and toss well. Scatter the sliced cucumbers over the rice-vermicelli salad.
Light a grill. Lift the pork slices from the marinade, leaving on some of the flavorings. Grill the pork over a hot fire until nicely charred, about 2 minutes per side. Transfer the pork to plates and serve with the rice-vermicelli salad. Pass the Carrot and Daikon Pickles at the table.