We present theory and experiments in good agreement for ballistic magnetore
sistance in nanoscopic-size contacts in 3d metals (Ni and Co). It is found
that values of the ballistic magnetoconductance of similar to 300% at room
temperature can be explained by scattering by the domain wall which is trap
ped in the constriction region. These values are obtained for very small co
ntacts and they decrease very fast as the contact size increases. The theor
y also explains this behavior.