[tjohns]

The meaning of any messages sent over amateur radio needs to be clear to an outside observer. The specific rule is 47 CFR 97.113(a)(4): "No amateur station shall transmit: [...] messages encoded for the purpose of obscuring their meaning, except as otherwise provided herein."

So no, high-entropy random noise of substantial length wouldn't be allowed because the meaning of the message would be unclear and unknowable.

You also can't broadcast one-way messages per 97.113(b), and you're probably not having a two-way conversation with somebody via high-entrypy random noise. So there's also that.

[therein]

What if you say it is to transmit high entropy random data generated at geographically remote locations, for peer to peer verification, for a well-announced long-running experiment to see if geolocation leads to biases in random number generation.

Let's have Princeton PEAR sponsor it. Call it NCC20 for NotChaCha20.

[kube-system]

You could say that. If you're in a position to use it as a defense to being investigated, then you're already being investigated. Hope it's true, because making false statements to federal investigators can be a crime.