|On parity-preserving variable-length constrained coding
|Ron M Roth, Technion, Israel; Paul H Siegel, UC San Diego, Israel
|M.5: Coding for Storage and Memories I
|Coding for Storage and Memories
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|Previous work by the authors on fixed-length parity-preserving constrained encoders is extended to the variable-length case. Parity-preserving variable-length encoders are formally defined, and a necessary and sufficient condition is presented for the existence of deterministic parity-preserving variable-length encoders for a given constraint. Examples are provided that show that there are coding ratios where parity-preserving variable-length encoders exist, while fixed-length encoders do not.