An electromechanical locking system includes one or more moveable locking elements and one or more actuators configured to move each of the one or more moveable locking elements between positions. The system includes an interface configured to receive information from a keycard, a processor, and a computer-readable storage medium. The processor causes the interface to scan the keycard and detect one or more features of the keycard when the keycard is detected by the interface, identify a first code that corresponds to the detected features of the keycard, apply functions to the first code to yield a second code that represents one of the plurality of positions for each of the one or more moveable locking elements, and cause the actuator to move the one or more movable locking elements to the one or more positions that correspond to the second code.