A method of video coding using the palette coding mode with reduced complexity by sharing context(s) between context-based entropy coding of syntax element for the last run type mode and context-based entropy coding of syntax element for the run type mode is disclosed. A method with reduced complexity for binarization of the syntax element associated with the number of palette indices of the current block is disclosed, where Rice parameter is derived for the number of palette indices without the need for a division or table lookup operation. In another method, the syntax element to specify whether transpose process is applied to associated palette indices of the current block is signalled in the bitstream for the current block in a location after the syntax element to specify a last run type mode for the current block.