Abstract: A secure and reliable transmission scheme based on rateless codes is proposed. The encoder and decoder generete random coding matrix and deleting pattern by setting up pseudo-random number generators, enabling random generation and deletion of encoded symbols, and the seed of pseudo-random number generator is the secret key. Since the degree distribution of the encoded symbols after random deletion is not changed, the error correction performance of the rateless codes is not affected. Simulation under additive white Gaussian noise channel and Rayleigh fading channel indicates that the bit-error-rate of the eavesdropper is kept near 0.5, and the word-error-rate remains 1, while the error performance of the legitimate receiver is the same as conventional rateless coding systems, thus error correction and encryption are realized simultaneously.

Key words: rateless codes, secrecy, error correction, physical layer security