We show there is a bijection between the binary necklaces with $n$ black beads and $k$ white beads and certain $(n,k)$-codes when $n$ is prime. The main idea is to come up with a new map on necklaces called slime migration.

中文翻译：

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项链和史莱姆

我们证明了当 $n$ 是质数时，带有 $n$ 黑珠子和 $k$ 白珠子的二元项链和某些 $(n,k)$ 代码之间存在双射。主要想法是提出一个关于项链的新地图，称为粘液迁移。