In this paper, we propose an adaptive code embedding method for reversible data hiding in encrypted images (ACE-RDHEI). It encrypts the original image into a noise-like one by block permutation and modulation, and no reserving room process is needed before image encryption. The secret data is then embedded into the encrypted image using adaptive code embedding (ACE). At the receiver side, using different security keys, users are able to extract the secret data and recover the original image separately and losslessly. Compared with existing RDHEI methods, ACE-RDHEI significantly improves the embedding rate. Experimental results are provided to show the excellent performance of our proposed algorithm.