  On configurations with 2+1-flavor dynamical domain-wall fermions, we
calculate the RI/(S)MOM renormalization constants (RC) of overlap quark
bilinears. Hypercubic (HYP) smearing is used to construct the overlap Dirac
operator. We investigate the possible effects of the smearing on discretization
errors in the RCs by varying the level of smearing from 0 to 1 and 2. The
lattice is of size $32^3\times64$ and with lattice spacing $1/a=2.383(9)$ GeV.
The RCs in the $\overline{\rm MS}$ scheme at 2 GeV are given at the end, with
the uncertainty of $Z_T$ reaching $\le1$% for the tensor current. Results of
the renormalized quark masses and hadron matrix elements show that the
renormalization procedure suppresses the $\sim$ 30% difference of the bare
quantities with or without HYP smearing into the 3%-5% level.
