Here is one method of shortening the rope between climbers to carry coils. The "Kiwi Coil" is commonly used for glacier travel and any other time that the entire length of the rope is not in use while you are traveling together. Follow the photos and instructions that follow.
Start by tying into the end of the rope just as you normally would for climbing. Then, start coiling the rope over your neck and around your hand (palm facing down) as in the photos 1 & 2.