refs

Author: valbert4

codes/classical/groups/group_classical.yml

@@ -15,7 +15,7 @@ description: |
 relations:
   parents:
     - code_id: homogeneous_space_classical
-      detail: 'Homogeneous spaces \(G/H\) for trivial \(H\) reduce to group spaces.'
+      detail: 'Homogeneous spaces \(G/H\) for trivial \(H\) reduce to group spaces. A group-\(G\) space can also be thought of as a multiplicity-free homogeneous space \((G\times G) / G\) \cite[pg. 60]{manual:{Diaconis, Persi. "Group representations in probability and statistics." Lecture notes-monograph series 11 (1988): i-192.}}.'
   cousins:
     - code_id: group_quantum
       detail: 'Group-based quantum codes are quantum counterparts of group-alphabet codes.'

codes/classical/homogeneous/symmetric/2pt_homogeneous/2pt_homogeneous.yml

@@ -42,7 +42,7 @@ relations:
       detail: 'A special class of symmetric spaces are the two-point homogeneous spaces (a.k.a. rank-one symmetric spaces \cite[Table 6.1]{doi:10.1007/978-3-642-18245-7}), whose metric is \(G\)-invariant and for which any two points can be mapped, via some \(g\in G\), to any other two points that are the same distance apart \cite[Def. 4.7]{arxiv:0909.4767}. This is equivalent to saying that \(G\) acts two-transitively.'
   cousins:
     - code_id: ecc
-      detail: 'ECCs and \(t\)-designs on two-point homogeneous spaces are intimately related via association schemes \cite{doi:10.1109/18.720545}.'
+      detail: 'ECCs and \(t\)-designs on two-point homogeneous spaces are intimately related via association schemes \cite{doi:10.1109/18.720545,doi:10.1017/CBO9780511610882}.'
 
 
 # Begin Entry Meta Information

codes/classical/matrices/sum-rank-metric/rank-metric/rank_metric.yml

@@ -24,6 +24,7 @@ protection: |
   The complexity of decoding rank-metric codes is unknown but expected to be harder than that of binary linear codes \cite{arxiv:1404.3482}.
 
   Linear programming bounds have been derived \cite{doi:10.1016/0097-3165(78)90015-8,doi:10.1007/978-94-010-9787-1_2,doi:10.1016/j.jcta.2010.05.006}.
+  See Ref. \cite{arxiv:1410.1333} for a discussion of \hyperref[topic:weight-enumerator]{MacWilliams identities}.
 
 features:
   decoders:
@@ -45,8 +46,7 @@ realizations:
 
 
 notes:
-  - 'See Ref. \cite{arxiv:1410.1333} for a discussion of MacWilliams identities and the relationship between rank metric and Gabidulin codes.'
-  - 'See Ref. \cite{doi:10.1017/9781009283403}\cite[Sec. 5]{preset:HPArray} for more details.'
+  - 'See Ref. \cite{doi:10.1017/9781009283403,doi:10.14459/2021md1601193,doi:10.1561/0100000119}\cite[Sec. 5]{preset:HPArray} for more details.'
 
 
 relations:

codes/classical/t-designs.yml

@@ -47,9 +47,9 @@ notes:
 relations:
   cousins:
     - code_id: ecc
-      detail: 'ECCs and \(t\)-designs on two-point homogeneous spaces are intimately related via association schemes \cite{doi:10.1109/18.720545}.'
+      detail: 'ECCs and \(t\)-designs on two-point homogeneous spaces are intimately related via association schemes \cite{doi:10.1109/18.720545,doi:10.1017/CBO9780511610882}.'
     - code_id: 2pt_homogeneous
-      detail: 'Designs exist on compact connected two-point homogeneous spaces \cite{doi:10.1109/18.720545,preset:HPLevBounds,arxiv:1308.3188}. ECCs and \(t\)-designs on two-point homogeneous spaces are intimately related via association schemes \cite{doi:10.1109/18.720545}.'
+      detail: 'Designs exist on compact connected two-point homogeneous spaces \cite{doi:10.1109/18.720545,preset:HPLevBounds,arxiv:1308.3188}. ECCs and \(t\)-designs on two-point homogeneous spaces are intimately related via association schemes \cite{doi:10.1109/18.720545,doi:10.1017/CBO9780511610882}.'
     # 2pt_homogeneous also quotes this
 
 # Begin Entry Meta Information

codes/quantum/groups/group_quantum.yml

@@ -64,7 +64,7 @@ notes:
 relations:
   parents:
     - code_id: homogeneous_space_quantum
-      detail: 'Homogeneous spaces \(G/H\) for trivial \(H\) reduce to group spaces.'
+      detail: 'Homogeneous spaces \(G/H\) for trivial \(H\) reduce to group spaces. A group-\(G\) space can also be thought of as a multiplicity-free homogeneous space \((G\times G) / G\) \cite[pg. 60]{manual:{Diaconis, Persi. "Group representations in probability and statistics." Lecture notes-monograph series 11 (1988): i-192.}}.'
     - code_id: category_quantum
       detail: 'Finite-group-based quantum codes, whose basis states are parameterized by a finite group, correspond to category-based codes for the fusion category \(Vec G\). Extensions of such categories to Lie groups can also be done \cite{manual:{Fredenhagen, Klaus. "Superselection sectors with infinite statistical dimension." Subfactors (Kyuzeso, 1993) (1994): 242-258.},arxiv:2106.12577,manual:{Kevin Walker. \href{https://www.birs.ca/events/2023/5-day-workshops/23w5091/videos/watch/202312061131-Walker.html}{Lie group symmetries and non-unital higher categories. Subfactors and Fusion (2-)Categories}, Banff International Research Station, 2023.},arxiv:2503.14596} (see also \cite{arxiv:gr-qc/0303060}).'