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Applicable Algebra in Engineering, Communication and Computing
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23-11-2021 | Original Paper

Construction of constant dimension codes via improved inserting construction

Authors: Yongfeng Niu, Qin Yue, Daitao Huang

Published in: Applicable Algebra in Engineering, Communication and Computing | Issue 6/2023

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Abstract

Constant dimension codes (CDCs), as special subspace codes, have attracted extensive attention due to their application at random network coding. In this paper, we present some variations on the insert construction method by changing the positions of some matrices. Those variations help us to construct more types of CDCs. By restricting the rank of matrices in rank metric codes, We can get that the union of these codes is still a CDC and the minimum subspace distance can be preserved. We generalize the previous results in He et al. (IEEE Commun Lett 25(5):1422–1426, 2021) and Lao et al. (arXiv:2008.09944v1, 2020) and obtain some new lower bounds of CDCs.
previous article On symbol-pair distances of repeated-root constacyclic codes of length over and MDS symbol-pair codes
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Metadata
Title
Construction of constant dimension codes via improved inserting construction
Authors
Yongfeng Niu
Qin Yue
Daitao Huang
Publication date
23-11-2021
Publisher
Springer Berlin Heidelberg
Published in
Applicable Algebra in Engineering, Communication and Computing / Issue 6/2023
Print ISSN: 0938-1279
Electronic ISSN: 1432-0622
DOI
https://doi.org/10.1007/s00200-021-00537-0

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