~

codes/classical/properties/concatenated/concatenated.yml

@@ -13,7 +13,8 @@ alternative_names:
 # \cite{doi:10.1109/TIT.2005.846392}
 
 description: |
-  A combination of two codes, an inner code \(C\) and an outer code \(C^\prime\), where the coordinates used for the inner code consist of the message subspace of the outer code.
+  A code whose encoding mapping is a composition of two mappings: first the message set is mapped onto the code space of the outer code, then each coordinate of the outer code is mapped on the code space of the inner code. 
+  In the basic construction, the outer code's alphabet is the finite field \(GF(p^m)\) and the \(m\)-dimensional inner code is over over the field \(GF(p)\). The construction is not limited to linear codes.
 
 
 #  'Stub \cite{doi:10.1109/TIT.2005.846392}.'
@@ -40,5 +41,7 @@ relations:
 _meta:
   # Change log - most recent first
   changelog:
+    - user_id: AlexanderBarg
+      date: '2024-08-03'
     - user_id: VictorVAlbert
       date: '2022-03-22'

codes/classical/properties/concatenated/generalized_concatenated.yml

@@ -8,10 +8,11 @@ code_id: generalized_concatenated
 name: 'Generalized concatenated code (GCC)'
 introduced: '\cite{manual:{È. L. Blokh, V. V. Zyablov, “Coding of Generalized Concatenated Codes”, Probl. Peredachi Inf., 10:3 (1974), 45–50; Problems Inform. Transmission, 10:3 (1974), 218–222},manual:{V. A. Zinoviev, “Generalized Cascade Codes”, Probl. Peredachi Inf., 12:1 (1976), 5–15; Problems Inform. Transmission, 12:1 (1976), 2–9}}'
 
-description: 'A code whose encoding consists of a recursive serial concatenation of one or more codes.'
+description: |
+  A code that combines multiple outer codes of the same length and (possibly) different dimensions with a single inner code; see Refs. \cite{manual:{V. A. Zinoviev, “Generalized Cascade Codes”, Probl. Peredachi Inf., 12:1 (1976)}\cite[Ch. 18]{preset:MacSlo}.
 
 notes:
- - 'Introduction to GCCs \cite{doi:10.1002/ett.4460100606}.'
+ - 'Introductions to GCCs \cite{doi:10.1002/ett.4460100606,manual:{Dumer, Ilya I. "Concatenated codes and their multilevel generalizations." Handbook of coding theory (1998).}}.'
 
 relations:
   parents:
@@ -22,5 +23,7 @@ relations:
 _meta:
   # Change log - most recent first
   changelog:
+    - user_id: AlexanderBarg
+      date: '2024-08-03'
     - user_id: VictorVAlbert
       date: '2021-11-04'

codes/quantum/qubits/stabilizer/topological/color/2d_color/2d_color.yml

@@ -14,9 +14,10 @@ alternative_names:
   - 'Triangular color code'
 
 description: |
-  Color code defined on a two-dimensional trivalent planar graph with three-colorable faces.
+  Color code defined on a two-dimensional planar graph.
   Each face hosts two stabilizer generators, a Pauli-\(X\) and a Pauli-\(Z\) string acting on all the qubits of the face.
 
+  Most translation-invariant color codes are defined in trivalent planar graphs with three-colorable faces.
   The three admissible uniform tilings are the 6.6.6 (honeycomb) tiling, the 4.8.8 (square octagon) tiling, and the 4.6.12 tiling \cite[Fig. 1]{arxiv:1108.5738}.
   More general admissible tilings can be obtained via a fattening procedure \cite{arxiv:cond-mat/0607736}; see also a construction based on the  more general quantum pin codes \cite{arxiv:1906.11394}.
 

codes/quantum/qubits/stabilizer/topological/color/2d_color/488_color/union_jack_color.yml

@@ -26,11 +26,16 @@ features:
 relations:
   parents:
     - code_id: 2d_color
+  cousins:
+    - code_id: 488_color
+      detail: 'Adding a vertex to the center of every tile of the 4.8.8 tiling yields a rotated version of the Union-Jack lattice.'
 
 
 # Begin Entry Meta Information
 _meta:
   # Change log - most recent first
   changelog:
+    - user_id: BenjaminBrown
+      date: '2024-07-31'
     - user_id: VictorVAlbert
       date: '2024-07-31'

users/users_db.yml

@@ -34,7 +34,10 @@
 
 
 #
-
+- user_id: BenjaminBrown
+  name: 'Benjamin J. Brown'
+  gscholaruser: 25TjBooAAAAJ
+
 - user_id: NarayananRengaswamy
   name: 'Narayanan Rengaswamy'
   gscholaruser: qkAERWAAAAAJ