On the MDS conjecture in even characteristic

2026-10-21来源 arXiv math.ITEnglish
arXiv:2610.28208v1 Announce Type: cross Abstract: 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.

原文：https://www.a8q9.cn/en/article/on-the-mds-conjecture-in-even-characteristic-1fe83a.html

相关文章