Fourier ptychographic microscopy (FPM) is a newly developed super-resolution technique, which employs angularly varying illumination and a phase retrieval algorithm to surpass the diffraction limit of the objective lens. Specifically, FP captures a set of low-resolution (LR) images, under angularly varying illuminations, and stitches them together in the Fourier domain. However, because the requisite large number of incident illumination angles, the long capturing process becomes an obvious limiting factor. Furthermore, in order to acquire high-dynamic range images, the time can be increased several times over. In this work, utilizing the Hadamard code principle, we propose a highly efficient method, which applies coded multi-angular illumination for FPM, to shorten the exposure time of each raw image. High acquisition efficiency is achieved by employing an optimal multi-angular illumination scheme by using two set of Hadamard coded multiplexing patterns. Both simulation and experimental results indicate that the proposed multi-angular illumination process could shorten the acquisition time of conventional FPM.