Combining Parallel Linkage Construction and Echelon-Ferrers Construction for Constant-Dimension Codes

Xueyuan ZHANG; Shaoyu; Xianmang HE; Yujia LI

doi:10.1587/transfun.2025EAL2015

Xueyuan ZHANG, Shaoyu, Xianmang HE, Yujia LI

著者情報

キーワード: network coding, subspace code, constant dimension code, echelon-Ferrers Construction

ジャーナルフリー早期公開

論文ID: 2025EAL2015

DOI https://doi.org/10.1587/transfun.2025EAL2015

詳細

抄録

In the constant dimension codes (CDCs) case, to explore the largest possible value A_q(n, d, k) is one of the most fundamental topics in subspace coding. Echelon-Ferrers is an approach proposed in 2009 for CDCs' construction, and has received extensive attentions. In this letter, in order to further improve the constructions, we study the method which combines linkage construction and echelon-Ferrers construction. This allows us to produce some improvements to lower bounds for constant dimension codes, including A_q(13, 4, 4),A_q(17, 4, 4), A_q(19, 6, 6) etc.

責任著者(Corresponding author)

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