self_dual_polytope

Author: valbert4

codes/classical/q-ary_digits/dual/self_dual.yml

@@ -49,6 +49,7 @@ notes:
   - 'See \href{https://www.unilim.fr/pages_perso/philippe.gaborit/SD/index.html}{Tables of Self-Dual Codes} by P. Gaborit and A. Otmani for a database of self-dual codes over \(\mathbb{F}_2\), \(\mathbb{F}_3\), \(\mathbb{F}_4\) (Euclidean or Hermitian), \(\mathbb{F}_5\), and \(\mathbb{F}_7\). See also Ref. \cite{doi:10.1016/S1071-5797(03)00011-X}.'
   - 'See \href{https://www.math.is.tohoku.ac.jp/~munemasa/selfdualcodes.htm}{Database of self-dual codes} by M. Harada and A. Munemasa for a database of self-dual codes over \(\mathbb{F}_2\), \(\mathbb{F}_3\), \(\mathbb{F}_5\), and \(\mathbb{F}_7\).'
 
+
 relations:
   parents:
     - code_id: dual

codes/classical/spherical/polytope/2d/polygon.yml

@@ -21,7 +21,7 @@ description: |
 
 relations:
   parents:
-    - code_id: dual_polytope
+    - code_id: self_dual_polytope
       detail: 'Polygons are self-dual.'
     - code_id: sharp_config
     - code_id: spherical_design

codes/classical/spherical/polytope/4d/24cell/24cell.yml

@@ -31,7 +31,7 @@ notes:
 
 relations:
   parents:
-    - code_id: dual_polytope
+    - code_id: self_dual_polytope
       detail: 'The 24-cell is self-dual.'
     - code_id: dfour_shell
       detail: 'The 24-cell code is the minimal shell of the \(D_4\) lattice.'

codes/classical/spherical/polytope/6-8d/witting_polytope.yml

@@ -29,7 +29,7 @@ notes:
 
 relations:
   parents:
-    - code_id: dual_polytope
+    - code_id: self_dual_polytope
       detail: 'The Witting polytope is self-dual.'
     - code_id: eeight_shell
       detail: 'Witting polytope codewords form the minimal shell of the \(E_8\) lattice.'

codes/classical/spherical/polytope/infinite/simplex_spherical.yml

@@ -22,7 +22,7 @@ protection: |
 
 relations:
   parents:
-    - code_id: dual_polytope
+    - code_id: self_dual_polytope
       detail: 'The simplex is self-dual.'
     - code_id: sharp_config
     - code_id: spherical_design

codes/classical/spherical/polytope/self_dual_polytope.yml

@@ -0,0 +1,26 @@
+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: self_dual_polytope
+physical: spheres
+logical: reals
+
+name: 'Self-dual polytope code'
+
+description: |
+  A spherical code whose codewords are the vertices of a self-dual polytope.
+
+
+relations:
+  parents:
+    - code_id: dual_polytope
+
+
+# Begin Entry Meta Information
+_meta:
+  # Change log - most recent first
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2024-07-30'