Avocado Sushi

Name: Avocado 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; 2 mini cucumbers, julienned (1 cup); 2 carrots, peeled and julienned (1 cup); ½ teaspoon sesame oil; ¼ cup mayonnaise; 1 avocado, halved and thinly sliced; 1 tablespoon toasted sesame seeds; 6 sheets toasted nori; Soy sauce, for serving