2023/11/06 by Körner, Theresa, Kurz, Sascha
#004 #510 #Divisible codes #Galois geometry #linear codes
paper · doi:10.15495/epub_ubt_00007285
We determine the minimum possible column multiplicity of even, doubly-, and triply-even codes given their length. This refines a classification result for the possible lengths of qr-divisible codes over GF(q). We also give a few computational results for field sizes q>2. Non-existence results of divisible codes with restricted column multiplicities for a given length have applications e.g. in Galois geometry and can be used for upper bounds on the maximum cardinality of subspace codes.