Toasting the sesame seeds: In a frying pan over low heat, stir the sesame seeds until they are lightly toasted. This process enhances their nutty flavor. If you have pre-toasted sesame seeds, you can skip this step.
Grinding the sesame seeds: Transfer the toasted sesame seeds to a spice grinder, blender, or mortar and pestle. Pulse or grind them until they form a coarse meal consistency.
Preparing the ginger: Use a box grater or microplane to grate the ginger, or very finely mince it by hand.
Combining the ingredients: In a bowl, add the ground sesame seeds, grated ginger, vegan mayo, rice vinegar, sugar, tamari (or alternative soy sauce), and sesame oil.
Mixing the dressing: Stir all the ingredients until thoroughly combined, and the dressing has a smooth consistency. Take care to ensure that no lumps of sesame seed meal or ginger remain.