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I can see how a paper-based cipher can be developed using substitutions and keys, and how those two things can become more and more complex through use of machines, thus offering some protection from decryption through brute-force approaches. But specifically I'm wondering:

  • what other major concepts beyond substitution and key are involved with computer encryption?
  • is the protection/secrecy of the key a greater vulnerability than the strength of the encryption?
  • why does encryption still hold up when the key is 'public' ?
  • are performance considerations a major obstacle to the development of more secure encryption?