 the amino acids that are used for cellular life. And the cellular life must function in order for organs to function. And organs must function for organisms to function. DNA therefore determines many things about the organism, including the means by which that same DNA can be replicated.
Let us therefore ask our questions. Is DNA repetitive like a crystal? If it was, it would mean that Adenine had a proclivity for having Thymine next to it, so you’d have ATATATATATATATAT. Or perhaps Guanine and Thymine would be structured like that.
But the fact is that there is no real proclivity at all between the various bases. Thymine could just as easily follow a Cytosine as an Adenine, or even another Thymine (note that I am not talking about the base pair here, but only which base would be next to another base on the same strand).
Since there is no proclivity, then we would expect natural forces to create random structures of DNA. But is DNA random? Obviously not, because the higher organism depends on the structure of DNA creating the right amino acids to form the right cells to form the right tissues, etc. If the DNA is not exactly like it is, the organism does not exist. But since there is not only one organism, but in many cases there are billions of the same kind, then DNA must have structure; it is not random.
If it is not random, and it is not crystallized, and if it would be one or the other if left only to foundational forces, then DNA is information.