In this paper, we propose a new encoding scheme for multiple-valued dual-rail data representation in asynchronous links with open-wire fault. Since data-arrival state is detected by the summation of the current signal, error states which are caused by the open-wire fault can be distinguished from the correct states by using proposed Complementary Encoding. Detection of these error states makes it possible to maintain the transmission capability of the links. The open-wire fault detect ability by using proposed encoding-based data representation is mathematically proven in this paper. And a simple example of data representation based on the proposed encoding scheme is also demonstrated.