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25! = 2^84

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15y ago
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Q: How many possible keys does the Playfair cipher have?
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How many effectively unique keys does the playfair cipher have?

Hi, I would say it is more than 120 It is. If my reasoning is correct, there are 360,000 unique ciphers. My reasoning is this: when i/j is counted as one letter and repetition is not allowed (as in Playfair), there are 25*24 = 600 possible digrams. Since each digram corresponds to one of those unique digrams, there are 600^2 = 360,000 unique Playfair ciphers (one should probably actually use 359,999 because one of the "ciphers" maps each digram to itself).


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i also confused about that! but I search the answer on google. it shows that "DES uses a 56-bit key, so there are 256 possible keys"


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n(n-1)/2 is the answer. Hence; 10(10-1)/2= 45 shared pairs. but this applies to symmetric only.


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