This document is related to a wireless communication system, and more particularly to a method and an apparatus for transmitting encoded signals with frequency hopping environment. A method of transmitting signals by a user equipment (UE) comprises: encoding an input signal having a length of (A) bits by using (A) basis sequences having a length of 20 bits to output an encoded signal having a length of 20 bits, wherein (A) is a natural number less than 14; mapping the encoded signal having the length of 20 bits to two different resource regions, wherein the first 10 bits of the encoded signal are mapped to a first resource region, and the second 10 bits of the encoded signal are mapped to a second resource region; and transmitting the resource-mapped signals to a Node B, wherein the encoded signal or the (A) basis sequences are cyclic shifted with a value of (x) before mapping the encoded signal to the two different resource regions, wherein (x) is a natural number less than 20.