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valbert4 committed Nov 26, 2023
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2 changes: 1 addition & 1 deletion codes/classical/q-ary_digits/easy/dodecacode.yml
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The unique trace-Hermitian self-dual additive \((12,4^6,6)_4\) code.
Its codewords are cyclic permutations of \((\omega 10100100101)\), where \(GF(4)=\{0,1,\omega,\bar{\omega}\}\) \cite[Sec. 2.4.8]{doi:10.1007/3-540-30731-1}.
Another generator matrix can be found in \cite[Ex. 9.10.8]{doi:10.1017/CBO9780511807077}.
The code is uniformaly packed \cite{doi:10.1109/ISIT.2019.8849731}.
The code is uniformly packed \cite{doi:10.1109/ISIT.2019.8849731}.
The dodecacode is a self-dual additive code, and there is no self-dual linear code with the same parameters \cite{doi:10.1109/18.57217}.
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2 changes: 2 additions & 0 deletions codes/quantum/qubits/small_distance/stab_11_1_5.yml
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description: |
Eleven-qubit pure stabilizer code that is the smallest qubit stabilizer code to correct two-qubit errors.
See \cite[Table 8.5]{arxiv:arXiv:quant-ph/9705052} for its stabilizer generators.
protection: 'Smallest stabilizer code that protects against errors on any two qubits. Detects four-qubit errors.'


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