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Consider the Vigenere cipher over the lowercase English alphabet, where the key ...

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Consider the Vigenere cipher over the lowercase English alphabet, where the key can have length 1 or length 2, each with 50% probability. Say the distribution over plaintexts is Pr[M='aa'] = 0.4 and Pr[M='ab'] = 0.6. What is Pr[C='bb']?

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