On the MDS conjecture in even characteristic
Overview & Synopsis
We prove that every nontrivial linear $[n,k]$ maximum distance separable (MDS) code over a finite field $\F_q$ of characteristic two satisfies $n\le q+1$, except in dimensions $k=3$ and $k=q-1$, where $n\le q+2$. This resolves the linear MDS conjecture in even characteristic.
Indexed from repository: arXiv
(
arxiv.org)
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Document Information
| Document Title | On the MDS conjecture in even characteristic |
|---|---|
| Author / Organization | Bocong Chen, Jing Huang |
| Subject & Discipline | math.CO |
| Categories | Science & Mathematics |
| Publication Year | 2026 |
| License / Rights | arXiv Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
arXiv
(arxiv.org)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-269941 |
| Original Source Link | Visit Source Page on arxiv.org » |