Peel ginger (using a spoon) and roughly chop. Add to bowl of a food processor. If not using food processor, mince the ginger and add to a bowl.
Peel and grate the garlic and roughly chop. Add to bowl of a food processor. If not using food processor, mince garlic and add to a bowl.
Chop 2-3 of the scallions into 1/4" slices. Add to food processor. If not using food processor, slice into thinner (1/16") strips and add to bowl.
Chop the remaining scallions into 1-inch pieces.
Add pepper powder, and splash tamari and fish sauce to mixing bowl. Vegan variation: omit fish sauce and use 2 Tbsp. tamari. You could also use the soaking brine instead of these.
Stir and mash contents (or pulse with food processor) together until a paste forms. Add more tamari, fish sauce, or reserved as needed or desired until you achieve a paste consistency. If in a food processor, when the paste begins to "roll" and look like a doughnut, it is ready.