The recent physics and technology advances in the field of high power density compact tokamak reactors have established the need for advanced inboard shielding design. This work presents the design of an optimal inboard shield and assesses the limits on the radiation effects in the magnets of a high wall loading (10 MW/m2) tokamak design. A new material, boron hydride, was identified as a potential shielding material and more optimum combinations of TiH2, B4C, and W were identified as well.