Made with buckwheat flour, soba noodles have a nutty flavor; look for them at Asian grocers and supermarkets.
Prepare an ice-water bath; set aside. Bring a large (8-quart) pot of water to a boil; add salt. Add peas; cook until bright green and crisp-tender, about 2 minutes. Using a slotted spoon, immediately transfer peas to ice-water bath to stop the cooking; drain. Return water to a boil; cook noodles according to package instructions. Drain. Rinse noodles with cold water; drain.
Transfer noodles to a large bowl. Add oils; toss to combine.Add reserved peas, the carrots, ginger, scallions, tamari soy sauce, and mint; season with pepper. Toss to combine. Serve at room temperature.