A system and method involving using a nonlinear reversible code for probabilistic constellation shaping. A nonlinear reversible code encoder receives information bits and applies a nonlinear reversible code to the information bits to provide encoded bits. A mapper maps the encoded bits to successive amplitude and phase-shift keying (APSK) symbols. Each of the APSK symbols has an APSK modulation format with an associated constellation and the mapper maps each of the symbols to an associated constellation location of the constellation in response to one or more associated ones of the encoded bits.