CAUGHT UP

Author: valbert4

codes/quantum/qubits/small_distance/small/7/xz_7_3_2.yml

@@ -32,7 +32,7 @@ relations:
     - code_id: phantom
       detail: 'This code is the punctured version of the \([[8,3,2]]\) hypercube quantum code and is a phantom code \cite{arxiv:2601.20927}.'
     - code_id: quantum_reed_muller
-      detail: 'The punctured hypercube family is a binary quantum Reed-Muller family built from shortened and punctured classical Reed-Muller codes \cite{arxiv:2604.15111}.'
+      detail: 'The punctured hypercube family is a quantum Reed-Muller family built from shortened and punctured classical Reed-Muller codes \cite{arxiv:2604.15111}.'
     - code_id: small_distance_qubit_stabilizer
   cousins:
     - code_id: stab_8_3_2

codes/quantum/qubits/small_distance/small/8/stab_8_3_2.yml

@@ -56,6 +56,10 @@ relations:
     - code_id: campbell_howard
       detail: 'The \([[8,3,2]]\) code is the \(k=1\) member of the \([[6k+2,3k,2]]\) Campbell-Howard family with a quasi-transversal logical \(CCZ\) gate \cite{arxiv:1606.01904}.'
   cousins:
+    - code_id: hamming844
+      detail: 'The \([[8,3,2]]\) hypercube code \(H_X\) check matrix is the parity-check matrix of the \([8,4,4]\) extended Hamming code, while its \(H_Z\) matrix is that of the SPC code.'
+    - code_id: parity_check
+      detail: 'The \([[8,3,2]]\) hypercube code \(H_X\) check matrix is the parity-check matrix of the \([8,4,4]\) extended Hamming code, while its \(H_Z\) matrix is that of the SPC code.'
     - code_id: xp_stabilizer
       detail: 'As the \(D=3\) member of the hypercube-code family, the \([[8,3,2]]\) code can be viewed as an XP stabilizer code with precision \(N=8\) \cite[Exam. 6.10]{arxiv:2203.00103}.'
     - code_id: stab_15_1_3