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errorcorrectionzoo · Dec 22, 2024 · 1b11f34 · 1b11f34
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diff --git a/codes/classical/bits/reed_muller/biorthogonal.yml b/codes/classical/bits/reed_muller/biorthogonal.yml
@@ -42,8 +42,6 @@ relations:
     - code_id: biorthogonal_spherical
       detail: 'Each first-order RM code maps to a \((2^m,2^{m+1})\) biorthogonal spherical code under the \hyperref[topic:antipodal-mapping]{antipodal mapping} \cite{doi:10.1109/18.720542}\cite[Sec. 6.4]{manual:{Forney, G. D. (2003). 6.451 Principles of Digital Communication II, Spring 2003.}}\cite[pg. 19]{preset:EricZin}.
       In other words, first-order RM (biorthogonal spherical) codes form orthoplexes in Hamming (Euclidean) space.'
-    - code_id: dual_polytope
-      detail: 'Orthoplexes and hypercubes are dual to each other.'
 
 
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diff --git a/codes/classical/spherical/polytope/infinite/biorthogonal_spherical.yml b/codes/classical/spherical/polytope/infinite/biorthogonal_spherical.yml
@@ -46,6 +46,8 @@ relations:
       detail: 'Biorthogonal spherical codewords form the minimal shell of the \(\mathbb{Z}^n\) hypercubic lattice.'
     - code_id: binary_antipodal
       detail: 'Each first-order RM\((1,m)\) code maps to a \((2^m,2^{m+1})\) biorthogonal spherical code under the \hyperref[topic:antipodal-mapping]{antipodal mapping} \cite{doi:10.1109/18.720542}\cite[Sec. 6.4]{manual:{Forney, G. D. (2003). 6.451 Principles of Digital Communication II, Spring 2003.}}\cite[pg. 19]{preset:EricZin}. In other words, first-order RM (biorthogonal spherical) codes form orthoplexes in Hamming (Euclidean) space.'
+    - code_id: dual_polytope
+      detail: 'Orthoplexes and hypercubes are dual to each other.'
 
 
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