Binary permutation-based code[1,2] 

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  • Rank-modulation Gray code (RMGC) — Binary permutation-based codes also encode messages into permutations but protect against errors with the Hamming distance.

References

[1]
I. F. Blake, G. Cohen, and M. Deza, “Coding with permutations”, Information and Control 43, 1 (1979) DOI
[2]
P. J. Cameron, “Permutation codes”, European Journal of Combinatorics 31, 482 (2010) DOI
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Zoo Code ID: binary_permutation

Cite as:
“Binary permutation-based code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/binary_permutation
BibTeX:
@incollection{eczoo_binary_permutation,
  title={Binary permutation-based code},
  booktitle={The Error Correction Zoo},
  year={2022},
  editor={Albert, Victor V. and Faist, Philippe},
  url={https://errorcorrectionzoo.org/c/binary_permutation}
}
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Permanent link:
https://errorcorrectionzoo.org/c/binary_permutation

Cite as:

“Binary permutation-based code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/binary_permutation

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/groups/binary_permutation.yml.