 for such codes is substantially lower than that known to be achievable by the Zyablov bound. In this paper, we present a small class of binary codes with some useful properties. This class is then used in Justesen\´s construction to produce codes that have relatively large values of
 for such codes is substantially lower than that known to be achievable by the Zyablov bound. In this paper, we present a small class of binary codes with some useful properties. This class is then used in Justesen\´s construction to produce codes that have relatively large values of  for low rates.
 for low rates.