Parallel Multilevel Constructions for Constant Dimension Codes

DOI10.1109/TIT.2020.3004315zbMath1453.94146arXiv1911.01878OpenAlexW3037863706MaRDI QIDQ5138864

Shuangqing Liu, Tao Feng, Yan Xun Chang

Publication date: 4 December 2020

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01878

zbMATH Keywords

lower boundGabidulin codesconstant dimension codes (CDC)ingleton-like upper boundrank metric codes with given ranks (GRMC)

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65)

Related Items (12)

New constant dimension subspace codes from block inserting constructions ⋮ New constant dimension subspace codes from parallel linkage construction and multilevel construction ⋮ Constant dimension codes from multilevel construction based on matchings of complete hypergraphs ⋮ Construction of constant dimension codes via improved inserting construction ⋮ Optimal Ferrers diagram rank-metric codes from MRD codes ⋮ Generalized block inserting for constructing new constant dimension codes ⋮ Bilateral multilevel construction of constant dimension codes ⋮ The interplay of different metrics for the construction of constant dimension codes ⋮ Combining subspace codes ⋮ New constructions of constant dimension codes by improved inserting construction ⋮ Improved generalized block inserting construction of constant dimension codes ⋮ Parallel sub-code construction for constant-dimension codes

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