Brompton's B-Bag is your easiest way to take your folded Brompton (also with some space for other items) on a plane or other transport. It's comprised of strong water resistent fabric, with a 5mm high density foam to protect your pride and joy. Down below there's a rigid base, with two rollers to allow for easy towing whilst walking. You have a strap to two it along with, convenient handles for lifting and a shoulder strap.
Once you arrive, remove your Brommie, roll it down and secure it in a rolled package with velcro straps. You can sneak the shoulder strap around and wear it on your back for your trip from Sydney airport to your accommodation. Winner!