Abstract: Degree distribution used for generating encoded symbols is the key problem for designing LT code. A complex network was constructed on the basis of the message traveling principle of the decoding process. A robust scalefree LT code was proposed by applying properties of scalefree network， such as shortest average path length. The results indicated that there were better performances in encoding/decoding efficiency， overhead factor， probability of successful decoding of robust scalefree LT code than those of LT codes based on robust soliton distribution and suboptimal LT code. The validity and efficiency of data transmission in wireless relay networks could be ensured using the proposed method.

Key words: channel coding, LT code, complex network, scalefree, digital fountain code