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Follow package directions to desalt fish, or use quick method in step 2.
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For quick desalting method, fill large bowl with water and carefully add bacalao. Soak and rinse with cool water at least twice.
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In medium pot over medium heat, combine fish, fresh water and 1 tsp. brown sugar; simmer for 10 minutes. Pour out hot water and rinse fish with cold water. Set aside to let fish soak in cool water.
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In medium pot, cover potatoes, carrots and 1 tsp. salt with water; boil until al dente. Drain and set aside to cool.
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In small bowl, pour ½ tsp. balsamic vinegar over red onion and set aside.
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To make vinaigrette, whisk together ½ tsp. salt, black pepper, grated yellow onion, garlic powder, red pepper flakes, remaining balsamic vinegar and olive oil. Set aside.
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To assemble salad, cut potatoes and carrots in thick slices and arrange on large serving platter with peas, eggs, scallions and raw onions. Evenly distribute fish around platter. Drizzle on vinaigrette.