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Dihedral code[1,2]

Description

A block code that encodes \(K\) states (codewords) into an alphabet whose coordinates are elements of the dihedral group.

Protection

Transposition errors [35].

Member of code lists

References

[1]
Verhoeff, Jacobus. “Error detecting decimal codes.” (1969).
[2]
H. Gumm, “A new class of check-digit methods for arbitrary number systems (Corresp.)”, IEEE Transactions on Information Theory 31, 102 (1985) DOI
[3]
A. Barg, “At the Dawn of the Theory of Codes”, The Mathematical Intelligencer 15, 20 (1993) DOI
[4]
J. A. Gallian, “The Mathematics of Identification Numbers”, The College Mathematics Journal 22, 194 (1991) DOI
[5]
Conrad, Keith. “Dihedral groups.” Lecture notes (2017).
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Zoo Code ID: dihedral

Cite as:
“Dihedral code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/dihedral
BibTeX:
@incollection{eczoo_dihedral, title={Dihedral code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/dihedral} }
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Permanent link:
https://errorcorrectionzoo.org/c/dihedral

Cite as:

“Dihedral code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/dihedral

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/groups/dihedral/dihedral.yml.