A method for performing a reliable communication using soft decision information and a random linear coding in the wireless access system is disclosed. The communication method includes arranging received random-linear-coded first code blocks in descending order of their soft decision levels, and performing a random linear decoding on a first code block set, wherein the first code block set is constructed of the first code blocks arranged in the descending order of their soft decision levels. If any error occurs in the random linear decoding step of the first code block set, the method further includes performing a random linear decoding on a second code block set, wherein the second code block set is constructed when a code block having the lowest soft decision level among code blocks contained in the first code block set is replaced with another first code block.