Generalized Linkage Construction for Constant-Dimension Codes

A constant-dimension code (CDC) is a set of subspaces of constant dimension in a common vector space with upper bounded pairwise intersection. We improve and generalize two constructions for CDCs, the
improved linkage construction
and the
parallel linkage construction
, to the
generalized linkage construction
and the
multiblock generalized linkage construction
which in turn yield many improved lower bounds for the cardinalities of CDCs; a quantity not known in general.