Generalized Linkage Construction for Constant-Dimension Codes
Daniel Heinlein · IEEE Transactions on Information Theory · 2020
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, theimproved linkage constructionand theparallel linkage construction, to thegeneralized linkage constructionand themultiblock generalized linkage constructionwhich in turn yield many improved lower bounds for the cardinalities of CDCs; a quantity not known in general.