Abstract:A Luby Transform (LT) encoding algorithm based on parabolic map by using chaotic scrambling method is proposed. Firstly, chaotic sequences are produced by using parabolic map and then transformed into uniform-like sequences. The degree distribution and data set of neighbors of LT codes are generated by using position scrambling algorithm which is more sensitive than traditional importance sampling method keeping the construction of theoretical distribution. Experimental results show that the algorithm has more simple construction, smaller header costs of the packets, better encryption effect and furthermore is outperformed the traditional importance sampling method.