Parallel versions of the linkage construction and of multi-block lifted MRD codes yield new lower bounds on A_q(n,d,k), beating the previous tables in more than 110 cases.
Optimal Ferrers Diagram Rank-Metric Codes
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abstract
Optimal rank-metric codes in Ferrers diagrams are considered. Such codes consist of matrices having zeros at certain fixed positions and can be used to construct good codes in the projective space. Four techniques and constructions of Ferrers diagram rank-metric codes are presented, each providing optimal codes for different diagrams and parameters.
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2019 1verdicts
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New Constructions of Subspace Codes Using Subsets of MRD codes in Several Blocks
Parallel versions of the linkage construction and of multi-block lifted MRD codes yield new lower bounds on A_q(n,d,k), beating the previous tables in more than 110 cases.