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company: University of Bayreuth
creator: Sascha Kurz
description: "Projective binary 8-divisible linear block codes\r\nA linear block code\
  \ is called 8-divisible if the weights of its codewords are divisible by 8. It is\
  \ called projective if there are no duplicate columns in the generator matrix. The\
  \ possible lengths of 8-divisible linear block codes have been classified in \\\
  cite{honold2016partial}, except for length n=59, where it is undecided whether such\
  \ a linear code exists. The possible dimensions satisfy $10\\le k\\le 20$. Instance\
  \ 8div_n59_k[?] contains the corresponding feasibility problem.  \r\nProjective\
  \ binary 8-divisible linear block codes occur as hole configurations of so-called\
  \ partial solid spreads in finite geometry.  For applications of binary 4-divisible\
  \ linear block codes in physics, see e.g. \\cite{doran2011codes}."
license: cc-license
misc: ''
name: Sascha Kurz
other-license: ''
owner: University of Bayreuth