Place the whole potato in a pot with cold water covering it. Boil until you can easily pierce the potato with a fork but it's not falling apart. This should take around 5 minutes.
Cool the potato before peeling and chopping. You are just going to put the potato in a food processor so you just need to chop it up enough to fit it in.
Process the potatoes into small chunks by pulsing in your food processor. Don't make a puree.
Remove from the food processor and add to a bowl with the flour, pepper, and just a teaspoon of kosher salt to taste. Mix to combine.
Using a spoon, make 2-inch logs and place onto a lined sheet pan,
Heat up a pan of oil to 350 degrees. Fry in batches, about 2 minutes per side.
Remove from the oil onto a plate with paper towel on it to whisk away excess oil. Immediately sprinkle with the dill dust.
You can keep them in an oven set to it's lowest temperature to keep warm while you finish frying all the tots