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In symmetric-key cryptography, both parties must possess a secret key that they must exchange prior to using any encryption. Distribution of secret keys is problematic: it involves face-to-face meetings, the use of a trusted courier, or sending the key through an existing encryption channel.

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Why in one time pad must the key distribution to be truly random

For these kind of intuitions, it typically helps to think about the extremes. What if you had a key that was always all-ones, with probability 1? What if you improve it a little bit, and use a key tha …
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