English

Construction of Const Dimension Code from Two Parallel Versions of Linkage Construction

Information Theory 2020-05-12 v2 math.IT

Abstract

The linkage construction and its generalization is one of the most powerful constructions for constant dimension code, accounting for approximately 50\% of all the listed parameters. We show how to improve the linkage construction of subspace codes by two parallel versions of the linkage construction. This proof allows us to attain codes of larger size for a given minimum distance, which exceeds the latest improvements on the linkage construction \cite{combining2019Antonio} in the cases Aq(13,4,4),Aq(17,4,4),Aq(19,6,6)A_q(13,4,4),A_q(17,4,4), A_q(19,6,6).

Keywords

Cite

@article{arxiv.1910.04472,
  title  = {Construction of Const Dimension Code from Two Parallel Versions of Linkage Construction},
  author = {Xianmang He},
  journal= {arXiv preprint arXiv:1910.04472},
  year   = {2020}
}
R2 v1 2026-06-23T11:39:36.049Z