A Construction for Balancing Non-Binary Sequences Based on Gray Code Prefixes

@article{Mambou2017ACF,
  title={A Construction for Balancing Non-Binary Sequences Based on Gray Code Prefixes},
  author={Elie Ngomseu Mambou and Theo G. Swart},
  journal={IEEE Transactions on Information Theory},
  year={2017},
  volume={64},
  pages={5961-5969}
}
We introduce a new construction for the balancing of non-binary sequences that make use of Gray codes for prefix coding. Our construction provides full encoding and decoding of sequences, including the prefix. This construction is based on a generalization of Knuth’s parallel balancing approach, which can handle very long information sequences. However, the overall sequence—composed of the information sequence, together with the prefix—must be balanced. This is reminiscent of Knuth’s serial… 

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