From 5bbcacdfcebf92c6dcd695826874babc2c509147 Mon Sep 17 00:00:00 2001 From: "Victor V. Albert" Date: Fri, 23 Aug 2024 13:28:08 -0400 Subject: [PATCH] subspace --- code_extra/bib_preset.yml | 5 +++ .../q-ary_digits/projective/subspace.yml | 32 +++++++++++++++++++ 2 files changed, 37 insertions(+) create mode 100644 codes/classical/q-ary_digits/projective/subspace.yml diff --git a/code_extra/bib_preset.yml b/code_extra/bib_preset.yml index 4c465d80e..2402fefa3 100644 --- a/code_extra/bib_preset.yml +++ b/code_extra/bib_preset.yml @@ -265,6 +265,11 @@ HKSstc: flm: >- F. Oggier, "Spacetime Coding." Concise Encyclopedia of Coding Theory (Chapman and Hall/CRC, 2021) \href{https://doi.org/10.1201/9781315147901}{DOI} +HKSnetwork: + _ready_formatted: + flm: >- + F. R. Kschischang, "Network Codes." Concise Encyclopedia of Coding Theory (Chapman and Hall/CRC, 2021) \href{https://doi.org/10.1201/9781315147901}{DOI} + HKSfountain: _ready_formatted: flm: >- diff --git a/codes/classical/q-ary_digits/projective/subspace.yml b/codes/classical/q-ary_digits/projective/subspace.yml new file mode 100644 index 000000000..fa26bc1ed --- /dev/null +++ b/codes/classical/q-ary_digits/projective/subspace.yml @@ -0,0 +1,32 @@ +####################################################### +## This is a code entry in the error correction zoo. ## +## https://github.com/errorcorrectionzoo ## +####################################################### + +code_id: subspace +physical: q-ary_digits +logical: q-ary_digits + +name: 'Subspace code' +introduced: \cite{doi:10.1109/TIT.2008.926449} + +description: | + A code that is a set of subspaces of a projective space \(PG(n-1,q)\). + +protection: | + Subspace codes are quantified with respect to the subspace distance \cite{doi:10.1109/TIT.2008.926449}; see \cite{preset:HKSnetwork}. + +realizations: + - 'Wireless networks \cite{preset:HKSnetwork}.' + +relations: + parents: + - code_id: projective + + +# Begin Entry Meta Information +_meta: + # Change log - most recent first + changelog: + - user_id: VictorVAlbert + date: '2024-08-23'