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Coherent optical systems have relatively high laser phase noise, which affects the performance of forward error correction (FEC) codes. In this paper, we propose a method for selecting Bose–Chaudhuri–Hocquenghem (BCH) codes for coherent systems with star-shaped constellations and  M -ary differential quadrature amplitude modulation (DQAM). Our method supports constellations of any order  M  which is a power of 2, and includes differential  M -ary phase shift keying as a special case. Our approach is straightforward, requiring only short pre-FEC simulations to parameterize a statistical model, based on which we select codes analytically. It is applicable to pre-FEC bit error rates (BERs) of around 10 −3 . We evaluate the accuracy of our approach using numerical simulations. For a target post-FEC BER of 10 −5 , codes selected with our method yield BERs within 2× target. Lastly, we extend our method to systems with interleaving, which enables us to use codes with lower overhead.

BCH Codes for Coherent Star DQAM Systems with Laser Phase Noise