A　new　differential　chaos　shift　keying　scheme　with　multidimensional　index　modulation,　referred　to　as　MIM-DCSK　scheme,　is　proposed　in　this　paper.　This　design　objective　of　the　proposed　MIM-DCSK　scheme　is　to　enhance　the　data　rate,　energy　efficiency,　and　spectral　efficiency　of　traditional　DCSK　scheme.　In　the　proposed　MIM-DCSK　scheme,　in　addition　to　the　information　bits　allocated　for　physical　transmission,　multidimensional　transmission　entities,　namely　the　time　slot,　carrier,　and　Walsh　code　are　simultaneously　considered　as　indices　to　convey　additional　information　bits,　thus　achieving　high　data　rate,　spectral　efficiency,　and　energy　efficiency.　The　theoretical　bit-error-rate　(BER)　expressions　of　the　MIM-DCSK　scheme　are　derived　over　additive　white　Gaussian　noise　(AWGN)　and　multipath　Rayleigh　fading　channels.　Furthermore,　the　data　rate,　complexity,　spectral　efficiency,　and　energy　efficiency　of　the　MIM-DCSK　scheme　are　analyzed.　Simulation　results　verify　the　accuracy　of　the　theoretical　analysis　and　illustrate　the　superiority　of　the　proposed　scheme.　The　proposed　MIM-DCSK　scheme　is　a　promising　solution　for　low-power　and　low-cost　short-wireless　communications.