How to Implement a Random Bisection Cut

By using a deck of cards, it is possible to realize a secure computation. In particular, since a new shuffling operation, called a random bisection cut, was devised in 2009, many efficient protocols have been designed. The shuffle functions in the following manner. A sequence of cards is bisected, and the two halves are swapped randomly. This results in two possible cases, depending on whether the two halves of the card sequence are swapped or not. Because there are only two possibilities when a random bisection cut is performed, it has been suggested that information regarding the result of the shuffle could sometimes be leaked visually. Thus, in this paper we propose some methods for implementing a random bisection cut without leaking such information.