Find the ciphertext for the message {100110101011011} using superincreasing sequence { 1, 3, 5, 11, 35 } and private keys a = 5 and m=37.(a) C = ( 33, 47, 65 )(b) C = ( 65, 33, 47 )(c) C = ( 47, 33, 65 )(d) C = ( 47, 65, 33 )This question was posed to me in an interview for job.My doubt stems from Knapsack/ Merkle topic in section Public Key Cryptography and RSA of Cryptograph & Network Security

Find the ciphertext for the message {100110101011011} using superincre

1.	Find the ciphertext for the message {100110101011011} using superincreasing sequence { 1, 3, 5, 11, 35 } and private keys a = 5 and m=37.(a) C = ( 33, 47, 65 )(b) C = ( 65, 33, 47 )(c) C = ( 47, 33, 65 )(d) C = ( 47, 65, 33 )This question was posed to me in an interview for job.My doubt stems from Knapsack/ Merkle topic in section Public Key Cryptography and RSA of Cryptograph & Network Security
Answer» Right option is (c) C = ( 47, 33, 65 ) To explain: {vi} = { 1, 3, 5, 11, 35 } a = 5and m = 37 Public key GENERATION: {wi} = avi MOD m wi = {5, 15, 25, 18, 27} Break the message into k-bit tuple i.e. 5-bit tuple 1001101010 11011 Encoding of M as follows: MCi 1001147 0101033 1101165 Ciphertext SENT will be: C = (47, 33, and 65).

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