From eb849650162865f9d9410f85aa8b70b44a2fcf7d Mon Sep 17 00:00:00 2001 From: "Victor V. Albert" Date: Fri, 15 Mar 2024 18:56:50 -0400 Subject: [PATCH] ~ --- codes/classical/bits/cyclic/self_dual_48_24_12.yml | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/codes/classical/bits/cyclic/self_dual_48_24_12.yml b/codes/classical/bits/cyclic/self_dual_48_24_12.yml index 5fbfb9fa2..a6c9d7367 100644 --- a/codes/classical/bits/cyclic/self_dual_48_24_12.yml +++ b/codes/classical/bits/cyclic/self_dual_48_24_12.yml @@ -21,9 +21,11 @@ relations: detail: 'The \([48,24,12]\) self-dual code is the only self-dual doubly-even code at its parameters \cite{doi:10.1109/TIT.2002.806146}.' - code_id: divisible detail: 'The \([48,24,12]\) self-dual code is the only self-dual doubly-even code at its parameters \cite{doi:10.1109/TIT.2002.806146}.' - cousins: - code_id: combinatorial_design detail: 'Fixed-weight codewords of extremal self-dual doubly-even codes whose length divides 24 form a combinatorial 5-design \cite{doi:10.1016/S0021-9800(69)80115-8}.' + cousins: + - code_id: group_algebra + detail: 'The \([48,24,12]\) self-dual code is a group code for \(G\) being a dihedral group \cite{doi:10.1007/s10623-011-9530-0}\cite[Exam. 16.5.1]{preset:HPRainsSloane}.' # Begin Entry Meta Information