Bring a small saucepan of salted water to the boil, add frozen edamame and cook for 3 minutes. Drain and rinse under cold water.
Make the dressing by putting all of the ingredients in a glass jar and shaking to combine.
If using rice add 1/2 cup to the bottom of each bowl. If making a low carb version place the shaved cabbage in the bowls.
Divide the edamame, radishes, carrot, cucumber and avocado between the bowls.
Dry the salmon very well with paper towels and spread the sesame seeds over a large plate. Sprinkle the skin side of each salmon fillet with salt and press the other side into the sesame seeds.
Heat a large frypan over a medium-high heat. Add the oil and then the salmon, skin side down. Cook for 4 minutes pressing the salmon down with a spatula. Turn the salmon and cook for another 2 minutes.
Flake the salmon over the salad, drizzle over the dressing and top each with a sprinkle of nori, shallots and extra sesame seeds.