A new code and its decoding scheme are proposed. With this code, we can correct and detect the errors in communication systems. To limit the runlength of data 0 and augment the minimum density of data 1, a (15, 7) BCH code is modified and an overall parity bit is added. The proposed code is a (16, 7) block code which has the bit clock signal regeneration capability and high error control capability. It is proved that the runlength of data 0 is less than or equal to 7, the density of data 1 is greater than or equal to 1/8, and the minimum Hamming distance is 6. The decoding error probability, the error detection probability and the correct decoding probability are presented for the proposed code. It is shown that the proposed code has better error control capability than the conventional schemes.