Let k be the encipherment key for a caesar cipher the, Basic Computer Science

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Let k be the encipherment key for a caesar cipher the

1. Prove that the DES cipher satisfies the complementation property

2. Let k be the encipherment key for a Caesar cipher. The decipherment key differs; it is 26 - k. One of the characteristics of a public key system is that the encipherment and decipherment keys are different. Why then is the Caesar cipher a classical cryptosystem, not a public key cryptosystem? Be specific.

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