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( Knapsack cryptosystem ) Consider the superincreasing sequence r = ( 2 , 5 , 1 1 , 2 4 , 4 9 ) .

(Knapsack cryptosystem)
Consider the superincreasing sequence
r=(2,5,11,24,49).
Let A=10 and B=99.
(a) Compute the sequence
M=(M1,M2,M3,M4,M5)
where
Mi-=Ari,(modB), for i=1,2,3,4,5.
(b) Choose the binary plaintext
x=(1,0,0,1,1)
and compute the ciphertext S.
(c) The knapsack cryptosystem generated the ciphertext S'=26 from the plaintext y. Using knapsack decryption, compute the plaintext y.
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