2 pounds carrots (about 5 medium sized carrots, peeled)
2 pounds daikon radishes (about 2 large daikon, peeled)
1 cup sugar
2 teaspoons salt
2½ cups white vinegar
2 cups water (warm, warm enough to easily dissolve sugar)
Method
Julienne the carrots and the daikon radishes: Cut them first crosswise into 2 1/2 inch long segments. Then cut 1/4-inch thick slices lengthwise. Stack the slices and cut them again into 1/4-inch thick batons.
Massage with salt and sugar: Place the carrots and daikon radishes in a large bowl. Sprinkle with 4 teaspoons of sugar and 2 teaspoons of salt. Use your clean hands to toss the carrots and daikon with the salt and sugar until well coated. Continue to mix the carrots and daikon with your hands until they begin to soften, about 3 minutes. They are ready once you can bend a piece of daikon all the way over without it breaking.
Rinse: Transfer the carrots and daikon to a colander, rinse with cool water and drain well.
Make vinegar sugar mixture: In a bowl (a 8 cup pyrex measuring cup works great for this) mix together one cup of sugar, the white vinegar and the warm water, until the sugar dissolves.
Pour vinegar mixture over carrots and daikon in jars: Prepare clean jars. Pack the daikon and carrots tightly into the jars. Pour over the pickling liquid to cover. Seal. Refrigerate. The pickles should sit at least overnight before eating; their flavor will improve with time. They should last 4 to 6 weeks in the refrigerator.