  We report on the quasi-linear in field intrachain magnetoresistance in the
normal state of a quasi-one-dimensional superconductor Ta$_4$Pd$_3$Te$_{16}$
($T_c$$\sim$4.6 K). Both the longitudinal and transverse in-chain
magnetoresistance shows a power-law dependence, $\Delta
\rho$$\propto$B$^\alpha$, with the exponent $\alpha$ close to 1 over a wide
temperature and field range. The magnetoresistance shows no sign of saturation
up to 50 tesla studied. The linear magnetoresistance observed in
Ta$_4$Pd$_3$Te$_{16}$ is found to be overall inconsistent with the
interpretations based on the Dirac fermions in the quantum limit, charge
conductivity fluctuations as well as quantum electron-electron interference.
Moreover, it is observed that the Kohler's rule, regardless of the field
orientations, is violated in its normal state. This result suggests the loss of
charge carriers in the normal state of this chain-containing compound, due
presumably to the charge-density-wave fluctuations.
