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.

翻译：建筑A用超过$mathbb{F ⁇ 5美元的自用代码构建了38美元、40美元、42美元和44美元。在构建这些代码的过程中,我们得到了一个超过$mathbb{F ⁇ 5美元的自用代码。此外,该代码还包含一个超过$43,22,13美元的自用代码。这些代码的最小重量分别高于先前已知的[44,22]美元的代码和[44,22]美元的代码。