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Generalized Linkage Construction for Constant-Dimension Codes

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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,… Click to show full abstract

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.

Keywords: constant dimension; linkage; linkage construction; generalized linkage

Journal Title: IEEE Transactions on Information Theory
Year Published: 2021

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