Because the paragraph on key generation and management would be 3 times as long as the entire article in its current form ?
Asymmetric encryption solves the problem of transmitting the password safely ("solve" is a rather optimistic word, maybe "delegates" is more appropriate); if you can safely transfer passwords from point to point, then using symmetric encryption is far easier.
while not an expert I disagree, encrypt a 1GB file must be different from 1MB file, no matter it is sym or asym encryption. normally Asym is for keys while symmetric encryption is for the real content.
because encryption in transit != encryption at rest.
Maybe you don't trust the server you are scp'ing the data to, with encryption at rest you dont' need to.
That's not what the documentation is about, though:
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Use GPG with the cipher AES256, without the --armour option, and with compression to encrypt your files during inter-host transfers.
GPG
Encryption helps protect your files during inter-host file transfers (for example, when using the scp, bbftp, or ftp commands). We recommend GPG (Gnu Privacy Guard), an Open Source OpenPGP-compatible encryption system.
If your goal is to transfer securely from person to person, 'scp' generally means there's a common server you're accessing - not that you're 'scp'ing directly to the other user's machine. Keeping it secure when "at rest" on the remote server would ensure it's securely transferred between the two end points.
NASA has historically done at least some open transfers, such as HTTP, FTP, etc. Using GPG for these is good. And it keeps the file encrypted at rest too.
You should be aware that even for asymmetric encryption, only a one-time document-specific key will be encrypted with the asymmetric algorithm. The document itself will always be encrypted using a symmetric cipher.
This is how the same document can be encrypted for multiple recipients efficiently, without duplication all the data. First the document is encrypted with a symmetric key, which is then encrypted with the public key of each recipient. This information will be prepended to the actual encrypted document.
Asymmetric encryption solves the problem of transmitting the password safely ("solve" is a rather optimistic word, maybe "delegates" is more appropriate); if you can safely transfer passwords from point to point, then using symmetric encryption is far easier.