If using cooked crab, remove the meat from the shells and chop roughly. If using fresh, add to a pot of boiling water and cook until claws are bright pink and meat is cooked through. Then remove the meat from the shells and chop roughly. Set aside.
Add all the remaining crab cake ingredients except the sesame seeds to a bowl and mix thoroughly to combine.
Add the crab meat to the bowl and fold gently to combine, being careful not to break up the crab too much.
Form the crab mixture into patties about the size of a golf ball. Then flatten a bit with your finger tips.
Roll the crab cakes in the sesame seeds and set aside.
Place the oil in a saucepan and bring to 375 degrees.
Working in batches of 6-8, deep fry the crab cakes until golden. (about 2-3 minutes). Season with salt to taste immediately after removing from the oil.
Mix the remoulade ingredients together in a bowl, then place a small dollop on top of each crab cake.