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}."
email: sascha.kurz@uni-bayreuth.de
license: cc-license
misc: ''
name: Sascha Kurz
other-license: ''
owner: University of Bayreuth