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Hill Cipher

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Hill Cipher Takes two or three or more letter combinations to the same size combinations, e.g. “the” “rqv” Uses simple linear equations An example of a “block” cipher encrypting a block of text at a time Numbered alphabet: a = 0, b = 1, c = 3, etc. (in CAP, use ASCII code)

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**Example C1 = 9*p1 + 18*p2 + 10*p3 (mod 26)**

C2 = p2 (mod 26) C p3

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** EOM TMY SVJ I can’t do it 8 2 0 13 19 3 14 8 19 4 9 18 10 8**

14 = (mod 26) 12 = (mod 26) 21 = (mod 26)

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**Hill – key is matrix k11 k12 k13 k21 k22 k23 k31 k32 k33**

Generalize to any size, larger blocks Matrix must be invertible

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**Hill -- bad matrix bcd XJR hfa XJR 23 9 18 10 1**

9 = (mod 26) 9 = (mod 26)

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Richmond House, Liverpool (1) 26 th January 2004.

Richmond House, Liverpool (1) 26 th January 2004.

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