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What asymmetric encryption to use that is safe against quantum computers?

i am currently searching for a post-quantum, asymmetric encryption since I need to keep a few files safe for the next decades.
AES 256 is what I am using currently, but I would like to leverage the additional safety of a asymmetric encryption (like encrypting something on a server I don’t trust to 100% / storing the private key air-gaped etc. ).

I am aware that nobody can see into the future, but one can do its best now.
Sadly I came to no good conclusion while googling it, and searching on SE.

Extra points if it’s available in gpg.

Difference between $[[cdot]]$ and $langle cdot rangle$ notation used in the original SPDZ paper?

This is the first time I come across the type of notation mention on the title. It is in the original SPDZ paper. I know it may sound like a dumb question but I couldn’t find any information available online and nothing is mentioned in the paper. They explain every other notation used except for::Listen

This is the first time I come across the type of notation mention on the title. It is in the original SPDZ paper. I know it may sound like a dumb question but I couldn’t find any information available online and nothing is mentioned in the paper. They explain every other notation used except for this one. Also I have never seen this notation used in the SMPC context. Finally, when I search the meaning of this notation in the SMPC or cryptographic context the SPDZ paper appears as the first result. Thanks in advance for your time.

What asymmetric encryption to use that is safe against quantum computers?

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