Based on study of the principles and development of network coding,the survey analyzes its applicable techniques in the physical-layer of wireless communication systems and focuses on Physical-layer Network Coding (PNC)and the joint design of channel coding and network coding techniques. On one hand,the survey firstly intro-duces the mechanism of PNC and then summarizes the current results and future directions of the following classi-fied hot topics:coding and decoding design,synchronization problem,combination with other transmission tech-niques,PNC capacity and application scenario extensions of PNC. On the other hand,the survey reviews the joint design techniques of channel coding and network coding in accordance with different starting points which are induc-ted as basing on the type of channel coding,modifying the mode of handling soft information,utilizing of PNC and considering various system scenarios.