Key sizes, public vs. secret key

[andy_man@popmail.com]

Hello!
I don't know very much about this, so I'd like to learn about key sizes.
Is it correct that the public keys can never be larger than 1024b? If so, why is that?
Then I wonder, due to that fact, does it mean that if I make a secret key that has e.g. 8192b size, that the messages are no stronger protected than if I had used 1024b secret key?

Cheers, Andy

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