Any Idea xtradb Cluster 8.0 for field symmetric encryption?

like MySQL public private encryption.

I don’t understand this question. Can you please rephrase the question? What exactly are you asking?

I want to encrypt my field  in a table with private, public key  combination with Asymmentic encryption?
You can also use encryption functions native to your programming language. For example,
Use BLOB columns within MySQL to store the encrypted data. Do the encrypting/decrypting within your code.

No, I was asking for Asymmetric Function like

Unfortunately those functions are closed-source and are only available with a MySQL Enterprise contract from Oracle.
As I said above, your other option is to use your app’s programming language to do this and simply store the blob data in MySQL. You can also check out this plugin, which is available on PXC8, to store some secrets information.