title: Can a public key have a different length (encryption) than the private key?
body: <p>I have a 1024 bits private key, and use it to generate a public key.
  Does that automatically mean that my public key also has 1024 encryption? Or can it be of a lesser encryption size? (512, 256...)</p>
  
  <p>PS: What i'm mostly interested in, and talking about, is the size of the modulus ("n") in RSA keys. The size is typically 1024 or 2048 bits. But I'm glad to see that this sparked a discussion, and all this is feeding my interest in cryptography.</p>