The purpose of this paper is to establish a one-to-one correspondence between k-tuples of DNA codewords and the elements of a finite group to simulate the reverse and the complement operations of codewords by an automorphism and a translation of the group, respectively, in order to determine the structure of DNA codes. Finally, the case of vector spaces is characterized.

中文翻译：

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 各组的 DNA 编码

本文的目的是在 DNA 码字的 k 元组和有限群的元素之间建立一一对应的关系，以分别通过群的自同态和翻译来模拟码字的反向和补码操作，以确定 DNA 码的结构。最后，描述了向量空间的情况。