Whisk first 5 ingredients to blend. Place steak in a heavy duty ziploc bag and add the marinade. Let stand 1 hour at room temperature or refrigerate overnight, turning occasionally.
Prepare barbecue (medium-high heat) or preheat broiler. Drain marinade into small saucepan and bring to boil. Grill or broil steak about 5 minutes per side for rare. Transfer steak to platter; let stand 10 minutes. Thinly slice steak across grain. Pass marinade as sauce.
Serve with brown rice.