For the steak:
3 tablespoons low-sodium soy sauce
2 tablespoons toasted sesame oil
2 teaspoons light or dark brown sugar
1 pound top round, sirloin or flank steak, preferably 1 to 1 1/2 inches thick
For the salad:
Kosher salt
6 ounces snow pea pods
3 tablespoons mild olive or peanut oil
8 ounces shiitake mushrooms, stemmed and sliced into 1/4 -inch strips
1/2 medium sweet onion, finely chopped ( 1/2 cup)
1-ounce piece fresh ginger root, peeled and finely chopped or grated
2 small carrots, well scrubbed, then grated (4 ounces total)
2 tablespoons seasoned rice vinegar or sushi vinegar
2 teaspoons toasted sesame oil
2 teaspoons low-sodium soy sauce
1 tablespoon plus 1 teaspoon toasted white or black sesame seeds
Combine the soy sauce, toasted sesame oil and sugar in a gallon-size zip-top bag. Add the steak and seal, pressing out as much air as possible. Massage through the bag to coat evenly. Refrigerate for 4 to 12 hours, turning the bag over every few hours if possible.
Broil or grill the steak to medium-rare or to the desired doneness. Cool to room temperature, then thinly slice into strips about 1 1/2 inches long.
Bring a medium pot of water to a boil over high heat. Fill a bowl with cool water and ice cubes.
Lightly salt the boiling water, then add the snow peas and cook for 1 minute. Drain, immediately transferring the snow peas to the ice-water bath. Cool for 5 minutes, then drain and pat dry with paper towels. Cut each snow pea pod lengthwise into 2 or 3 strips (discarding the strings) and place in a mixing bowl.