Preheat oven to 425 degrees. Place baking sheet into oven to preheat at this time.
Using your sharpest knife, cut the salmon into 1 1/2" cubes. Try and make each cube about the same size the best you can.
Spray a baking sheet sized piece of foil with the non stick spray. Season the foil with 1/4 of the salt, then arrange the salmon skin side down in a single layer. Carefully place on the pre-heated baking sheet and roast until 135 deg F, 12-14 minutes.
As salmon cooks, combine juice of lemons, mustard, dill, capers, and brine. Slowly whisk in olive oil to emulsify. Season with a few grinds of black pepper.
Once salmon is cooked, serve immediately, lightly covered in the dill sauce.