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valbert4 committed Feb 14, 2024
1 parent 0b57cf3 commit 505248c
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3 changes: 3 additions & 0 deletions codes/classical/groups/mixed/mixed.yml
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Expand Up @@ -11,6 +11,9 @@ name: 'Mixed code'

description: 'Encodes \(K\) states (codewords) in a string of coordinates which takes values in more than one group.'

protection: |
The Hamming, Singleton, and Plotkin bounds are straightforwardly extended to mixed alphabets \cite[Thm. 5.1]{manual:{Cameron, Peter J. "Some bridges between codes and designs." Unpublished manuscript, Queen Mary and Westfield College, London (1998).}}.
relations:
parents:
- code_id: group_classical
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2 changes: 1 addition & 1 deletion codes/classical/q-ary_digits/projective/simplex.yml
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Expand Up @@ -9,7 +9,7 @@ logical: q-ary_digits

name: 'Simplex code'
introduced: '\cite{doi:10.1111/j.1469-1809.1941.tb02298.x,doi:10.1111/j.1469-1809.1943.tb02332.x}'
# from Simplex codes over the ring F_2+uF_2
# from Cameron, Peter J. "Some bridges between codes and designs." Unpublished manuscript, Queen Mary and Westfield College, London (1998).

alternative_names:
- 'Maximum-length feedback-shift-register code'
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Expand Up @@ -47,7 +47,6 @@ features:
Codes on a \(D\)-dimensional homogeneous Riemannian manifold with diameter \(L\) satisfy \(k = O(L^{D-2})\) \cite{arxiv:2009.13551}.
\end{defterm}
features:
decoders:
- 'Clustering decoder \cite{doi:10.7907/AHMQ-EG82,arXiv:1112.3252}.'
- 'Quantum neural-network (QNN) decoder \cite{arxiv:2401.06300}.'
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