Using the newly available infrared images of the Hubble Deep Field in the J
, H, and K bands and an optimal photometric method, we have refined a techn
ique to estimate the redshifts of 1067 galaxies. A detailed comparison of o
ur results with the spectroscopic redshifts in those cases where the latter
are available shows that this technique gives very good results for bright
enough objects [AB(8140) < 26.0]. From a study of the distribution of resi
duals [Delta z(rms)/(1 + z) approximate to 0.1 at all redshifts], we conclu
de that the observed errors are mainly due to cosmic variance. This very im
portant result allows for the assessment of errors in quantities to be dire
ctly or indirectly measured from the catalog. We present some of the statis
tical properties of the ensemble of galaxies in the catalog, and we finish
by presenting a list of bright high-redshift (z approximate to 5) candidate
s extracted from our catalog together with recent spectroscopic redshift de
terminations confirming that two of them are at z = 5.34 and z = 5.60.