Combining Parallel Linkage Construction and Echelon-Ferrers Construction for Constant-Dimension Codes
In the constant dimension codes (CDCs) case, to explore the largest possible value Aq(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 Aq(13, 4, 4),Aq(17, 4, 4), Aq(19, 6, 6) etc.
Authors
- Xianmang He (ORCID: https://orcid.org/0000-0002-6893-6476)
- Xueyuan Zhang (ORCID: https://orcid.org/0000-0001-5617-1640)
- Yujia Li (ORCID: https://orcid.org/0000-0002-1024-9243)
- Shaoyu
Institutions
- Ningbo University (CN)
- University of Finance and Economics (MN)
- Ningbo University Affiliated Hospital (CN)
- Shanghai Dianji University (CN)
Publication Details
- Journal
- IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
- Published
- 2025-05-20
- DOI
- https://doi.org/10.1587/transfun.2025eal2015
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00