论文标题
$ \ mathbb {f} _5 $和$ s $ - 超模型的单模型格
Self-dual codes over $\mathbb{F}_5$ and $s$-extremal unimodular lattices
论文作者
论文摘要
新的$ s $ - 尺寸的极端极端晶格$ 38 $，$ 40 $，$ 42 $和$ 44 $是由构造A的自\ \ \ mthbb {f} _5 $构建的。此外，该代码意味着$ [43,22,13] $代码$ \ Mathbb {f} _5 $。这些代码的最小权重比以前已知的$ [44,22] $代码和$ [43,22] $代码更大。
New $s$-extremal extremal unimodular lattices in dimensions $38$, $40$, $42$ and $44$ are constructed from self-dual codes over $\mathbb{F}_5$ by Construction A. In the process of constructing these codes, we obtain a self-dual $[44,22,14]$ code over $\mathbb{F}_5$. In addition, the code implies a $[43,22,13]$ code over $\mathbb{F}_5$. These codes have larger minimum weights than the previously known $[44,22]$ codes and $[43,22]$ codes, respectively.
