We propose an efficient one-time signature scheme for stream authentication by improving HORS. When one-time signatures are used for authenticating live streams, one of the most serious drawbacks is that its large signature size yields high communication overhead. Compared with the previous one-time signature schemes, proposed scheme has the smallest signature size. Moreover, verification overhead is very low. Compared with the previous schemes for stream authentication, signing overhead of our scheme is larger than that of HORS but much lower than those of BiBa or Powerball. Moreover, signing operation can be trivially parallelized without any additional risk because it does not require sharing of the secret key between distributed servers.