Reversible data hiding through encryption is a recently introduced technique in the area of information security. In a reversible data hiding through encryption scheme, both the image encryption process and data hiding task are combined into a single process. In this paper, we improve the existing reversible data hiding through encryption scheme by introducing a block prechecking mechanism to reduce the bit error rate. The key idea of the proposed scheme is that during image encryption, the original image will be divided into non-overlapping blocks of size n×n pixels and in each block, we can embed three-bit from the secret message. One specific pseudo-random byte stream will be used to encrypt a given image block based on the three-bit data that we want to embed into it. The experimental study of the proposed scheme on the standard medical images downloaded from OsriX data set shows that the proposed scheme outperforms the existing schemes in terms of bit error rate without compromising the embedding rate.