galois 623 and 733

codes/quantum/qudits_galois/small/galois_6_2_3.yml

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+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: galois_6_2_3
+physical: galois
+logical: galois
+
+name: '\([[6,2,3]]_{q}\) code'
+introduced: '\cite{doi:10.1109/TIT.2002.800469,arxiv:quant-ph/0508070}'
+
+description: |
+  Six-qudit MDS error-detecting code defined for Galois-qudit dimension \(q=3\) \cite{doi:10.1109/TIT.2002.800469}, \(q=2^2\) \cite{arxiv:1205.4253}, and \(q \geq 5\) \cite{doi:10.1109/TIT.2002.800469,arxiv:quant-ph/0508070}.
+  This code cannot exist for qubits (\(q=2\)).
+
+relations:
+  parents:
+    - code_id: galois_true_stabilizer
+      detail: 'The code is a non-CSS stabilizer code in general \cite{arxiv:1205.4253}.'
+    - code_id: quantum_mds
+    - code_id: small_distance_quantum
+# Are these true stabilizer?
+
+
+# Begin Entry Meta Information
+_meta:
+  # Change log - most recent first
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2024-03-01'

codes/quantum/qudits_galois/small/galois_7_3_3.yml

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+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: galois_7_3_3
+physical: galois
+logical: galois
+
+name: '\([[7,3,3]]_{q}\) code'
+introduced: '\cite{doi:10.1109/TIT.2002.800469,arxiv:quant-ph/0508070}'
+
+description: |
+  Seven-qudit MDS error-detecting code defined for Galois-qudit dimension \(q=3\) \cite{doi:10.1109/TIT.2002.800469} and \(q \geq 7\) \cite{doi:10.1109/TIT.2002.800469,arxiv:quant-ph/0508070}.
+  This code cannot exist for qubits (\(q=2\)).
+
+relations:
+  parents:
+    - code_id: galois_true_stabilizer
+    - code_id: quantum_mds
+    - code_id: small_distance_quantum
+# Are these true stabilizer?
+
+# Begin Entry Meta Information
+_meta:
+  # Change log - most recent first
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2024-03-01'