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> Formally, the condition isn't "never use a one-time pad with the same key numbers" it's "make sure the key numbers of each pad are statistically independent of each other".

And to expand on this - this is why it is imperative that a source of true randomness is used as a seed. Pseudorandomness cannot (by definition) satisfy statistical independence.

If you don't have a source of true randomness, you've just implemented a stream cipher, not a one-time pad.




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