An improvement to the bit stuffing algorithm

The bit stuffing algorithm is a technique for coding constrained sequences by the insertion of bits into an arbitrary data sequence. This approach was previously introduced and applied to (d, k) constrained codes. Results show that the maximum average rate of the bit stuffing code achieves capacity when k=d+1 or k=∞, while it is suboptimal for all other (d, k) pairs. We propose a modification to the bit stuffing algorithm. We show analytically that the proposed algorithm achieves improved average rates over bit stuffing for most (d, k) constraints.