Make the salad at least a day before you plan to eat it. It only improves with age.
Whisk together dressing ingredients until blended. The dressing will seem to be very salty.
Place potatoes in a large pot and cover with cold water by about one inch. Add about one tablespoon salt. Bring to a boil over high heat, then reduce heat to a simmer. Cook until tender when pierced by a fork, about 25 to 40 minutes. Drain water, and set potatoes aside until cool enough to handle, though still hot.
While the potatoes are cooking, prepare the remaining ingredients and place in a large bowl.
Peel still-warm potatoes, quarter lengthwise and cut into 1/2 inch slices. Add to bowl with other ingredients. Pour dressing over all and toss gently. Allow to cool to room temperature, then refrigerate until cold.