For various $2\leq n,m \leq 6$, we propose some new algorithms for multiplying an $n\times m$ matrix with an $m \times 6$ matrix over a possibly noncommutative coefficient ring.

翻译：对于满足 $2\leq n,m \leq 6$ 的各种情况，我们提出了一些新的算法，用于在可能非交换的系数环上计算一个 $n\times m$ 矩阵与一个 $m \times 6$ 矩阵的乘法。