Efficient weakly-constrained codes for mitigation of patterning effects in Digital Communications

We propose specific modulation block codes for weakly-constrained coding and demonstrate that their performance is close to the theoretical limit. We also show that when such codes are used for the mitigation of patterning effects in optical fibre communications, a gain of about 1 dB is possible under realistic conditions, if only at the expense of small redundancy (≈ 10%).