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This question already has an answer here:

If we only know the period of a Stream Cipher, let's say 150-200 bit in length, how can we use this information to attack a stream cipher?

Taking a look at this link, What is the period of a cipher? I see that the period of the stream cipher is simply the amount of data we encrypt before starting the encryption over again.

From the attacker's stand point, this let's us know the chunk size of data we are encrypting but how does this help us attack the stream cipher? Won't we still need to know plaintext and cipher text?

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marked as duplicate by otus, CodesInChaos Sep 25 '15 at 12:34

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ Like this recent question (same homework?) this amounts to attacking the two-time pad. $\endgroup$ – otus Sep 25 '15 at 7:03
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If you know the period of the stream cipher, you can XOR 2 different encryptions from the same point in the period (integral number of periods apart) and eliminate the pseudo random stream entirely. All that would be left are 2 plaintexts XOR'd together, and this is something a smart child can break in a short time.

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