Baked Salmon Sushi

Name: Baked Salmon Sushi
Ingredients: 2 cups short-grain white rice, preferably Japonica; 3 -inch piece ginger, peeled; 1 cup rice-wine vinegar; 2 tablespoons sugar, plus 1 teaspoon; Kosher salt; 12 ounces salmon (about 1 inch thick), preferably wild, skin removed; 2 carrots, peeled and julienned (1 cup); 2 mini cucumbers, julienned (1 cup); ½ teaspoon toasted sesame oil; ¼ cup mayonnaise; 1 avocado, halved and thinly sliced; 1 tablespoon toasted sesame seeds; 6 sheets toasted nori; Soy sauce, for serving