Abstract A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and k-tuples of DNA codewords is established. Using this map the structure of DNA codes over these rings is determined, the length of the code is relatively prime to the characteristic of the residue field of the ring.

中文翻译：

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DNA 编码长度为 5 和幂指数为 4 的有限局部 Frobenius 非链环

摘要 建立了长度为5、幂等指数为4的有限局部Frobenius非链环的元素与DNA码字的k元组之间的一一对应关系。使用该图可以确定这些环上的 DNA 代码结构，代码的长度与环的残基字段的特征相对素数。