  We discuss the odderon in the QCD and analyze the effects of running coupling
introduced in a particular way to preserve the reggeization of the gluon within
the leading logarithmic description. This idea is also applied to a family of
BKP states with arbitrarily number of gluons in the planar limit. The numerical
analysis shows that contrary to the pomeron case where the leading states
become discretized, the odderon states still remain a continuous family
starting at intercept one. The following rapidity dependence of the amplitude
is studied. For the pomeron-odderon system the relation between the
descriptions in the reggeized gluon (BFKL) framework and the color dipole/CGC
one is investigated.
